CN110847288A - Middle partition pier of water outlet flow channel of large front-mounted through-flow pump station and design method - Google Patents

Middle partition pier of water outlet flow channel of large front-mounted through-flow pump station and design method Download PDF

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CN110847288A
CN110847288A CN201911178387.9A CN201911178387A CN110847288A CN 110847288 A CN110847288 A CN 110847288A CN 201911178387 A CN201911178387 A CN 201911178387A CN 110847288 A CN110847288 A CN 110847288A
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water outlet
pier
middle partition
partition pier
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徐磊
孙世宏
施伟
陆伟刚
周歆宇
吉冬涛
夏斌
黄国豪
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Yangzhou University
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Yangzhou University
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    • EFIXED CONSTRUCTIONS
    • E03WATER SUPPLY; SEWERAGE
    • E03BINSTALLATIONS OR METHODS FOR OBTAINING, COLLECTING, OR DISTRIBUTING WATER
    • E03B5/00Use of pumping plants or installations; Layouts thereof
    • EFIXED CONSTRUCTIONS
    • E02HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
    • E02BHYDRAULIC ENGINEERING
    • E02B7/00Barrages or weirs; Layout, construction, methods of, or devices for, making same
    • E02B7/20Movable barrages; Lock or dry-dock gates
    • EFIXED CONSTRUCTIONS
    • E02HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
    • E02BHYDRAULIC ENGINEERING
    • E02B7/00Barrages or weirs; Layout, construction, methods of, or devices for, making same
    • E02B7/20Movable barrages; Lock or dry-dock gates
    • E02B7/22Stop log dams; Emergency gates
    • EFIXED CONSTRUCTIONS
    • E03WATER SUPPLY; SEWERAGE
    • E03FSEWERS; CESSPOOLS
    • E03F5/00Sewerage structures
    • E03F5/22Adaptations of pumping plants for lifting sewage

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Abstract

The invention discloses a middle partition pier of a water outlet flow channel of a large front-mounted through-flow pump station and a design method, and belongs to the technical field of hydraulic engineering pump stations. The method is characterized in that: the middle partition pier is sequentially divided into a front part, a middle part and a tail part along the water flow direction; the front part is positioned in the middle diffusion transition section of the water outlet runner, and the middle part and the tail part are positioned in the outlet gate section of the water outlet runner; the front portion includes a twist section and a transition section; the thickness of the middle part of the middle partition pier is determined according to the depth of a gate slot and the thickness of the neck of the gate slot required by installing a gate, and the length of the middle part of the middle partition pier is determined by the distance between the gate slot of the working gate and the central line of the gate slot of the accident gate and the width of the gate slot; the three-dimensional body of the middle partition pier twisting section is an S-shaped twisting surface body and is designed based on the numerical simulation result of the three-dimensional flow field of the water outlet flow channel; the tail part of the middle partition pier is streamline. The invention can reduce the head loss of the water outlet runner of the large-scale front-mounted through-flow pump station, improve the runner efficiency and has important significance for ensuring the stable and efficient operation of the pump station.

Description

Middle partition pier of water outlet flow channel of large front-mounted through-flow pump station and design method
Technical Field
The invention belongs to the technical field of hydraulic engineering pump stations, and particularly relates to a middle partition pier of a water outlet flow channel of a large-scale front-mounted through-flow pump station and a design method thereof.
Background
The large front-mounted through-flow pump station has the advantages of excellent hydraulic performance, low height of a factory building and the like, and is applied to low-lift pump stations, particularly ultra-low-lift pump stations. A working gate and an accident gate are required to be arranged at the outlet of a water outlet channel of the large-scale front-mounted through-flow pump station, so that the gate is quickly closed to cut off water flow when the water pump unit is stopped, and the pump unit is prevented from reversing and flying. In order to prevent the motor from overpower when the large front-located through-flow pump station is started, a plurality of small flap valves are usually arranged on a working gate, so that when a water pump is started, water flow washes the small flap valves to reduce the starting power of the motor. The large-scale front-mounted through-flow pump station water outlet flow channel outlet width is big, in order to reduce the gate width of water outlet flow channel outlet and satisfy the requirement in the aspect of water outlet flow channel structural stability, the interior partition pier that sets up of water outlet flow channel usually divides the gate that the former width is big into two small-width gates so that the quick closing and the opening of gate. The arrangement of the middle partition pier divides the overflowing channel at the outlet of the water outlet channel into two holes, one is a left hole and the other is a right hole when viewed along the water flow direction. The middle partition pier of the water outlet flow channel is vertically arranged along the water flow direction, the length of the middle partition pier is determined according to the requirements of satisfying the arrangement and structure of the gate, the thickness direction of the middle partition pier is the same as the width direction of the water outlet flow channel, the head part and the tail part of the middle partition pier are both semicircular, and the middle part of the middle partition pier is rectangular.
In the running process of the water pump, the water flow at the outlet of the guide vane body of the water pump has speed circulation, the water flow enters the water outlet flow channel in a spiral shape, and when the rotating water flow meets the vertical semicircular head of the middle partition pier, vortex areas exist at the positions, close to the middle partition pier, of the upper portion of a left hole and the lower portion of a right hole of the outlet of the water outlet flow channel. The existence of the vortex can lead to unstable flap valve operation on the working gate when the water pump is started, greatly increases the water outlet runner head loss, reduces the runner efficiency and influences the stable and efficient operation of the water pump device.
Disclosure of Invention
The invention provides a middle partition pier of a water outlet flow channel of a large-scale front-mounted through-flow pump station and a design method aiming at the defects of the prior art, which are used for ensuring that the flow of water flow in the water outlet flow channel of the designed large-scale front-mounted through-flow pump station is smooth and swirl-free and ensuring the safe, stable and efficient operation of the pump station.
In order to realize the first purpose of the invention, the following technical scheme is adopted:
a middle partition pier of a water outlet channel of a large front-mounted type through-flow pump station is characterized in that the water outlet channel of the large front-mounted type through-flow pump station is sequentially divided into an inlet circular platform section, a middle diffusion transition section and an outlet gate section from an inlet to an outlet along the water flow direction, and the middle partition pier is arranged in the water outlet channel;
the longitudinal center line of the middle dividing pier is superposed with the longitudinal center line of the water outlet flow channel, the thickness direction of the middle dividing pier is the same as the width direction of the water outlet flow channel, and the length of the middle dividing pier is determined by the length of the outlet gate segment and the requirement of stable structure of the water outlet flow channel;
the middle partition pier is sequentially divided into a front part, a middle part and a tail part along the water flow direction, the front part is positioned in the middle diffusion transition section of the water outlet flow channel, and the middle part and the tail part are positioned in the outlet gate section of the water outlet flow channel; the front part comprises a twisting section and a gradual change section, an inlet of the gradual change section is connected with an outlet of the twisting section, an outlet of the gradual change section is connected with an inlet of the middle part, and an outlet of the middle part is connected with an inlet of the tail part.
Preferably, the top end of the twisted section of the middle pier in the water outlet flow channel is S-shaped, and the outlet of the twisted section is a rectangular surface; the shape of the twisted section is an S-shaped twisted surface body;
preferably, the transitional section of the middle partition in the water outlet flow channel is a diffusion section, the section of the transitional section is gradually increased from the inlet direction to the outlet direction, and the diffusion angle of the transitional section is smaller than or equal to the plane diffusion angle of the water outlet flow channel.
Preferably, the cross section of the middle part of the middle partition pier is rectangular with equal width. In the middle of the middle partition pier, door slots are respectively arranged on two sides close to the inlet to be matched with the working gate, and door slots are respectively arranged on two sides close to the outlet to be matched with the accident gate.
Preferably, the thickness B of the middle part of the middle partition piergzAccording to the depth B of the gate slot required by mounting the gatemcAnd groove neck thickness BcjDetermination of Bgz=2Bmc+Bcj(ii) a The length L of the middle part of the middle partition piergzThe distance L between the central lines of the working gate slot and the accident gate slotmmGate slot width HmcDetermination of Lgz=Lmm+Hmc+0.5+0.5 in m;
preferably, the tail part of the middle partition pier is streamline to eliminate a low-speed area generated by adopting a semicircular partition pier tail part.
Preferably, the shape of the middle partition pier twisting section is complex, the middle partition pier twisting section is made of steel in a factory, and the shapes of the gradual change section, the middle partition pier twisting section and the tail section are simple, and concrete is poured on site; and (3) conveying the manufactured and formed middle partition pier twisted section to a site for positioning and installation, welding the twisted section with a reinforcing steel bar tied at the inlet of the gradual change section, and finally pouring concrete to form the complete middle partition pier.
In order to achieve the second purpose of the invention, the following technical scheme is adopted:
a design method of a partition pier in a water outlet flow channel of a large front-located through-flow pump station is characterized by comprising the following steps:
1. dividing a water outlet flow channel of a large front-mounted through-flow pump station into an inlet circular platform section, a middle diffusion transition section and an outlet gate section from an inlet to an outlet in sequence along the water flow direction, and arranging a middle dividing pier in the water outlet flow channel;
2. the longitudinal center line of the middle partition pier is superposed with the longitudinal center line of the water outlet flow channel, the thickness direction of the middle partition pier is the same as the width direction of the water outlet flow channel, and the length L of the middle partition pier is equal to the length L of the water outlet flow channelgFrom the length L of the exit gate sectionczLength L required by stable structure of water outlet channelwAre determined jointly, Lg=Lcz+Lw
3. According to the action of the middle partition pier in the water outlet flow channel, the middle partition pier is sequentially divided into a front part, a middle part and a tail part along the water flow direction, the front part is positioned in a middle diffusion transition section of the water outlet flow channel, and the middle part and the tail part are positioned in an outlet gate section of the water outlet flow channel; the front portion includes a twist section and a transition section;
4. the middle part of the middle partition pier needs to have enough thickness for installing a working gate and an accident gate, and the thickness B of the middle part of the middle partition piergzAccording to the depth B of the gate slot required by mounting the gatemcAnd groove neck thickness BcjDetermination of Bgz=2Bmc+BcjThickness of the groove neck BcjIs 0.3m to meet the requirements of structural strength and concrete pouring; the length L of the middle part of the middle partition piergzThe distance L between the central lines of the working gate slot and the accident gate slotmmGate slot width HmcDetermination of Lgz=Lmm+Hmc+0.5+0.5 in m;
5. the tail part of the middle partition pier is streamline to prevent the tail part of the middle partition pier from generating a karman vortex to increase the head loss of the water outlet flow channel, the molded line of the tail part of the middle partition pier is divided into a left side line and a right side line and is represented by a section position diagram and a section data table;
6. the middle partition pier transition section is a diffusion section, an outlet of the transition section is connected with a middle inlet, and an inlet of the transition section is connected with an outlet of the distortion section, so that water flow smoothly diffuses and flows; the diffusion angle of the transition section is thetagjIn order to prevent the water flow in the left hole and the right hole of the water outlet flow passage from shrinking and flowing, the diffusion angle theta of the transition section of the middle partition pier is requiredgjLess than or equal to the plane spread angle theta of the water outlet runnercp(ii) a The length of the transition section of the middle partition pier is LgjInlet break of gradual change sectionThe thickness of the surface is
Figure BDA0002290600840000031
BgjIs 0.2m to meet the requirement of concrete pouring; according to the diffusion angle theta of the transition sectiongjLength L ofgjAnd inlet section thickness BgjDrawing a transition section single line diagram;
7. designing a three-dimensional body of the middle partition pier twisting section according to the water flow velocity distribution condition at the top end position of the middle partition pier twisting section in the water outlet flow channel so as to adjust the flowing direction of the rotating water flow; the top end of the middle partition pier twisting section is S-shaped, and the outlet of the twisting section is a rectangular surface and is connected with the inlet of the gradual change section; length L of the twisted sectiongt=Lw-Lgj(ii) a The three-dimensional body of the twisting section is an S-shaped twisting surface body, the middle partition pier twisting section is designed based on the numerical simulation result of the three-dimensional flow field of the water outlet flow channel, and the middle partition pier twisting section is obtained by adopting the following steps:
(1) performing flow field numerical calculation on the water outlet flow channel of the large front-mounted through-flow pump station without a middle partition pier based on a three-dimensional turbulent flow numerical simulation method of the water outlet flow channel;
(2) taking a flow field at the top end of the middle partition pier twisted section according to the numerical calculation result, and recording the flow field as a T-T section;
(3) dividing a vertical bisector of the T-T section into 2n equal parts, wherein n is a natural number greater than 4, and numbering equal parts from top to bottom as 1,2,3, … and 2n + 1;
(4) sequentially acquiring the flow velocity of the 1 st to 2n +1 st points in the x, y and z directions from the T-T section flow field taken out in the step (2); the positive direction x is that the inlet of the water outlet channel points to the outlet in the horizontal plane, the positive direction y is that the right side points to the left side when viewed along the water flow direction in the horizontal plane, and the positive direction z is that the lower side points to the upper side perpendicular to the horizontal plane;
(5) calculating the included angle between the absolute speed direction of each point and the x direction according to the flow velocity of each extracted bisector in the x, y and z directions, and recording the included angle as thetai,i=1,2,3,……,2n+1;
(6) Dividing the middle partition pier twisted section in the z direction by the position of each division point to obtain 2n +1 sections, each sectionThe cross sections are all in the shape of a curved triangle; the origin of coordinates of each cross section is represented as OiI ═ 1,2,3, … …,2n + 1; determining the position of each section vertex, wherein the coordinate of each section vertex in the x direction is 0; the distance between the 1 st section vertex and the 2n +1 th section vertex in the y direction is 2 xBgjDividing the distance between the 1 st section vertex and the 2n +1 th section vertex in the y direction by 2n, wherein each part is BgjN; accordingly, the coordinates from the 1 st section to the 2n +1 th section vertex are obtained
Figure BDA0002290600840000041
Figure BDA0002290600840000042
Wherein i is 1,2,3, … …,2n + 1;
(7) dividing the curve triangle of each section into a left side line and a right side line, and determining the coordinates of the tail ends of the left side line and the right side line of each section; the coordinate of the end of the left line of each section is (L)gt,BgjAnd/2) the coordinate of the end of the right edge of each section is (L)gt,-Bgj/2);
(8) Calculating the left side line of each section; using the curve equation y to the left edge line of the ith sectionzi=yzi(x) Expressed in terms of the angle theta of the curve equation with respect to the direction of the absolute flow velocity at the apex of the ith cross-sectioniSectional apex coordinates
Figure BDA0002290600840000043
Left line end coordinate (L)gt,Bgj/2) and transition spread angle θgjObtaining; each curve equation has 5 undetermined coefficients:
yzi=azi+bzix+czix2+dzix3+ezix4(1)
in the formula, azi、bzi、czi、dziAnd ezi(i ═ 1,2,3, … …,2n +1) is the coefficient to be determined;
the ith cross-section left side line yzi=yzi(x) Andthe ends all need to satisfy the boundary condition that ① vertex passes through
Figure BDA0002290600840000044
Figure BDA0002290600840000045
Point ② the slope of the tangent line at the apex is equal to tan thetaiTo ensure that the water flow direction flows along the direction of the vertex tangent line to avoid vortex generated by water flow shedding, ③ end passing (L)gt,BgjPoint/2) and the slope of the tangent at the end of ④ equal to tan (theta)gjThe/2) to enable the water flow to smoothly transit with the transition section of the middle partition pier;
for yzi=yzi(x) Introducing 1 adjusting point, and selecting proper coordinates (x) of the adjusting points according to the linear adjustment requirement of each curvezti,yzti) The water flow direction can be smoothly and orderly adjusted by the obtained curve, and the phenomenon that the left hole of the water outlet flow channel generates flow separation to form vortex is prevented; a closed equation set can be established for the left line of the ith section through the introduced adjusting point, so that the pending coefficient of the curve equation of the left line of the ith section is obtained, and the curve equation y of the left line of the ith section is obtainedzi=yzi(x);
(9) Calculating the right side line of each section; using the curve equation y for the ith section right edge lineyi=yyi(x) Expressed, the curve equation is according to the angle theta of the absolute flow velocity direction at the ith cross-section vertexiSectional apex coordinates
Figure BDA0002290600840000046
Right edge line end coordinate (L)gt,-Bgj/2) and transition spread angle θgjObtaining; each curve equation has 5 undetermined coefficients:
yyi=ayi+byix+cyix2+dyix3+eyix4(2)
in the formula, ayi、byi、cyi、dyiAnd eyi(i-1, 2,3, … …,2n +1) is a coefficient to be determined;
The ith cross-section right side line yzi=yzi(x) Both the vertex and the end of (c) satisfy the boundary condition that ① vertex passes through
Figure BDA0002290600840000047
Figure BDA0002290600840000048
Point ② the slope of the tangent line at the apex is equal to tan thetaiTo ensure that the water flow direction flows along the direction of the vertex tangent line to avoid vortex generated by water flow shedding, ③ end passing (L)gt,-BgjPoint/2) and the slope of the tangent at the end of ④ equal to tan (-theta)gjThe/2) to enable the water flow to smoothly transit with the transition section of the middle partition pier;
for yyi=yyi(x) Introducing 1 adjusting point, and selecting proper coordinates (x) of the adjusting points according to the linear adjustment requirement of each curveyti,yyti) The water flow direction can be smoothly and orderly adjusted by the obtained curve, and the phenomenon that the right hole of the water outlet flow channel generates flow separation to form a vortex is prevented; through the introduced adjusting point, a closed equation set can be established for the right side line of the ith section, so that the undetermined coefficient of the curve equation of the right side line of the ith section is obtained;
(10) according to the left side curve equation of each section, the left side curve of each section is represented by coordinate data and a section position map, so that lofting and processing are facilitated during manufacturing;
(11) according to the right side line curve equation of each section, the right side line curve of each section is represented by coordinate data and a section position map so as to facilitate lofting and processing during manufacturing;
(12) the sections of the middle pier twisted section are smoothly and smoothly connected in the z direction to form an S-shaped twisted surface body;
8. the shape of the middle partition pier twisting section is complex, the middle partition pier twisting section is made of steel in a factory, and the shapes of the gradual change section, the middle part and the tail part are simple, and concrete is poured on site; and (3) conveying the manufactured and formed middle partition pier twisted section to a site for positioning and installation, welding the twisted section with a reinforcing steel bar tied at the inlet of the gradual change section, and finally pouring concrete to form the complete middle partition pier.
Compared with the prior art, the invention has the following beneficial effects:
firstly, aiming at the defects of the existing middle partition pier design method, the invention provides the middle partition pier of the water outlet flow channel of the front-mounted through-flow pump station and the design method thereof.
Secondly, the design of the invention can reduce the head loss of the water outlet flow passage, improve the efficiency of the pump device, reduce the energy consumption of the pump station and save the operating cost.
Thirdly, the design method of the middle partition pier provided by the invention has strong applicability, and the middle partition pier for improving the flow state of the water outlet flow channel can be conveniently designed according to the method of the invention, so that the method is convenient for the majority of engineering technicians to adopt.
Drawings
FIG. 1(a) is a schematic diagram of a three-dimensional shape of an outlet flow channel of a front-mounted through-flow pump station of the invention;
FIG. 1(b) is a schematic representation of a three-dimensional shape of a septum pier of the present invention;
FIG. 2 is a schematic view of the front three-dimensional shape of the bulkhead of the invention;
FIG. 3 is a schematic plan view of the middle of a hard bulkhead of the present invention;
FIG. 4 is a sectional view of the tail of the hard shoulder of the present invention;
FIG. 5 is a schematic diagram of the size of the transition section of the hard shoulder in the present invention;
FIG. 6(a) is a schematic view showing the position of a T-T section in an elevation of a flow channel in the present invention;
FIG. 6(b) is a schematic view showing the position of the T-T section in the plan view of the flow channel in the present invention;
FIG. 6(c) is a schematic view of a T-T section in the present invention;
FIG. 7 is a cross-sectional view of a twisted segment of a septum in an embodiment of the invention;
FIG. 8(a) is a sectional position diagram of the left side line and the right side line of the section of the twisted section 1-1 of the pier in the embodiment of the invention;
FIG. 8(b) is a cross-sectional position diagram of the left and right side lines of the cross-section of the twisted segment 2-2 of the pier in the embodiment of the present invention;
FIG. 8(c) is a cross-sectional position diagram of the left and right side lines of the cross-section of the twisted section 3-3 of the pier of the embodiment of the present invention;
FIG. 8(d) is a cross-sectional position diagram of the left and right side lines of the cross-section of the twisted section 4-4 of the pier of the embodiment of the present invention;
FIG. 8(e) is a cross-sectional position diagram of the left and right side lines of the cross-section of the twisted segment 5-5 of the pier of the embodiment of the present invention;
FIG. 8(f) is a cross-sectional position diagram of the left and right side lines of the cross-section of the twisted segment 6-6 of the pier in the embodiment of the present invention;
FIG. 8(g) is a cross-sectional position diagram of the left and right side lines of the cross-section of the twisted segment 7-7 of the pier in the embodiment of the present invention;
FIG. 8(h) is a cross-sectional position diagram of the left and right side lines of a cross-section of a twisted segment 8-8 of a pier in an embodiment of the present invention;
FIG. 8(i) is a cross-sectional position view of the left and right edges of the cross-section of the twisted segment 9-9 of the pier of the embodiment of the present invention;
FIG. 8(j) is a cross-sectional position view of the left and right edges of the cross-section of the pier twisted segment 10-10 in an embodiment of the present invention;
FIG. 8(k) is a cross-sectional position view of the left and right edges of the cross-section of the twisted segment 11-11 of the pier of the embodiment of the present invention;
FIG. 9 is a flow field diagram of the water outlet flow channel of the conventional middle partition pier;
FIG. 10 is a flow field diagram of the water outlet channel of the hard shoulder of the present invention;
in the figure: 1 import circular platform section, 2 middle diffusion changeover portion, 3 export gate sections, 4 middle hard piers, 5 front portions, 51 twist sections, 511 left sideline, 512 right sideline, 52 gradual change section, 6 middle parts, 7 tails, 71 tail left sidelines, 72 tail right sidelines, 8 gate slots, 81 work gate slot central lines, 82 accident gate slot central lines, 9 slot necks.
Detailed Description
The invention is described in further detail below with reference to the figures and examples.
A large-scale forward type through-flow pump station goes out water flow path middle dividing mound, characterized by:
1. dividing a water outlet flow channel of a large front-mounted through-flow pump station into an inlet circular platform section 1, a middle diffusion transition section 2 and an outlet gate section 3 from an inlet to an outlet in sequence along the water flow direction, and arranging a middle dividing pier 4 in the water outlet flow channel, as shown in fig. 1 (a);
2. the longitudinal center line of the middle partition pier 4 is superposed with the longitudinal center line of the water outlet flow channel, the thickness direction of the middle partition pier 4 is the same as the width direction of the water outlet flow channel, and the length of the middle partition pier 4 is determined by the length of the outlet gate section 3 and the requirement of stable structure of the water outlet flow channel;
3. the middle dividing pier 4 is sequentially divided into a front part 5, a middle part 6 and a tail part 7 along the water flow direction, as shown in figure 1 (b); the front part 5 is positioned in the water outlet runner diffusion transition section 2, and the middle part 6 and the tail part 7 are positioned in the water outlet runner outlet gate section 3; the front portion 5 comprises a twisted section 51 and a transition section 52, as shown in fig. 2;
4. the top end of the twisted section 51 of the partition pier 4 in the water outlet flow channel is S-shaped, and the outlet of the twisted section 51 is a rectangular surface; the shape of the twisted section 51 is an S-shaped twisted surface body, and a section position diagram and a data table are provided;
5. the section of the transition section 52 of the partition pier 4 in the water outlet channel is gradually increased, the inlet of the transition section 52 is connected with the outlet of the twisting section 51, and the outlet of the transition section 52 is connected with the inlet of the middle part 6, so that water flow smoothly diffuses and flows;
6. as shown in FIG. 3, the thickness B of the middle part 6 of the middle dividing pier 4gzAccording to the depth B of the gate slot 8 required for mounting the gatemcAnd the thickness B of the groove neck 9cjDetermination of Bgz=2Bmc+Bcj(ii) a The length L of the middle part 6 of the middle partition piergzThe distance L between the working gate slot center line 81 and the accident gate slot center line 82mmWidth H of gate slot 8mcDetermination of Lgz=Lmm+Hmc+0.5+0.5, unit m;
7. the tail part 7 of the middle partition pier 4 is streamlined to eliminate a low-speed area generated by adopting a semicircular partition pier tail part;
8. the shape of the middle partition pier 4 twisted section 51 is complex, steel is adopted for manufacturing in a factory, and the shapes of the gradual change section 52, the middle part 6 and the tail part 7 are simple, and concrete is adopted for pouring on site; and (3) conveying the twisted section 51 of the manufactured middle partition pier 4 to a site for positioning and installation, welding the twisted section 51 with the reinforcing steel bars tied at the inlet of the gradual change section 52, and finally pouring concrete to form the complete middle partition pier.
Examples
The design lift of a certain large-scale low-lift pump station is 3m, and the design flow of a single pump is 33.4m3And/s, adopting a front-mounted shaft type through-flow pump station. The length of the pump station water outlet flow passage is 26.5m, wherein the length of the inlet circular platform section 1 is 2m, the length of the middle diffusion transition section 2 is 15.8m, and the length of the outlet gate section 3 is 8.7 m; planar diffusion angle theta of intermediate diffusion transition section 2cpIs 18 degrees; the distance between the working gate slot centerline 81 and the accident gate slot centerline 82 is 4.5m, the width of the gate slot 8 is 1m, and the depth B of the gate slot 8mc0.5m, thickness B of the slot neck 9cjIs 0.4 m; the width of the outlet section of the water outlet flow channel is 8.75m, and the height of the outlet section of the water outlet flow channel is 4.24 m. According to the design requirement of the water outlet flow passage, the method is designed for the middle partition pier of the water outlet flow passage.
The method for designing the partition pier in the water outlet flow channel of the pump station comprises the following steps:
1. the three-dimensional body of the water outlet channel of the front-located shaft type through-flow pump station is shown in figure 1(a), the three-dimensional body is sequentially divided into an inlet circular platform section 1, a middle diffusion transition section 2 and an outlet gate section 3 from an inlet to an outlet along the water flow direction, and a middle partition pier 4 is arranged in the water outlet channel;
2. the length L of the middle dividing pier 4gFrom the length L of the outlet gate section 3cz8.7m and the length L required by stable structure of the water outlet flow passagewThe length L of the middle partition pier 4 is determined together as 7.6mg=Lcz+Lw=8.7+7.6=14.3m;
3. The middle dividing pier 4 is sequentially divided into a front part 5, a middle part 6 and a tail part 7 along the water flow direction, as shown in figure 1 (b); the front part 5 is positioned in the middle diffusion transition section 2 of the water outlet runner, and the middle part 6 and the tail part 7 are positioned in the outlet gate section 3 of the water outlet runner, as shown in figure 1 (a); the front portion 5 comprises a twisted section 51 and a transition section 52, as shown in fig. 2;
4. the thickness B of the middle part 6 of the middle partition pier 4gzAccording to the depth of the gate slot 8 required for installing the gateDegree Bmc0.5 and thickness B of groove neck 9cjDetermined at 0.4m, Bgz=2Bmc+Bcj1.4 m; the length L of the middle part 6 of the middle partition pier 4gzThe distance L between the working gate slot center line 81 and the accident gate slot center line 82mm4.5m, width H of door slot 8mcLength L of the central part 6, determined at 1mgz=Lmm+Hmc+0.5+0.5 ═ 6.5m, as shown in fig. 3;
5. the tail part 7 of the middle dividing pier 4 is streamline to prevent the karman vortex from being generated after the tail part 7 of the middle dividing pier to increase the water outlet runner head loss, the molded line of the tail part 7 of the middle dividing pier 4 is represented by a sectional position diagram and sectional data, the molded line of the tail part 7 is divided into a left side line 71 and a right side line 72, the molded line sectional position is shown in fig. 4, and the sectional data is listed in table 1;
table 1 unit of profile data of the plane profile of the distal portion of the septal pier: m is
Figure BDA0002290600840000081
6. The transition section 52 of the middle partition pier 4 is a diffusion section, the outlet of the transition section 52 is connected with the inlet of the middle part 6, and the inlet of the transition section 52 is connected with the outlet of the twisting section 51; taking the spread angle θ of the transition 52gj6 DEG, less than plane spread angle thetacpThe total length of the front part 5 of the middle partition pier 4 is 7.6m, and the length L of the transition section 52 is taken as 18 degreesgj5.1m, the thickness of the inlet section of the transition section 52 isThe requirement of concrete pouring is met; according to the planar spread angle theta of the transition section 52gjLength L ofgjAnd inlet section thickness BgjDrawing a single line diagram of the transition 52, as shown in FIG. 5;
7. designing a three-dimensional body of the twisted section 51 of the middle dividing pier 4 according to the water flow velocity distribution condition at the position of the twisted section 51 of the dividing pier 4 in the water outlet channel so as to adjust the flowing direction of the rotating water flow; the top end of the twisted section 51 of the middle partition pier 4 is S-shaped, and the outlet of the twisted section 51 is a rectangular surface and is connected with the inlet of the gradual change section 52;the length L of the twisted section 51gt=Lw-Lgj2.5 m; the three-dimensional body of the twisted section 51 is an S-shaped twisted surface body, as shown in FIG. 2, the twisted section 51 of the middle dividing pier 4 is designed based on the numerical simulation result of the three-dimensional flow field of the water outlet flow channel, and the method comprises the following steps:
(1) carrying out numerical calculation on a flow passage without a middle partition pier of the pump station water outlet flow passage based on a three-dimensional turbulent flow numerical simulation method of the water outlet flow passage;
(2) taking the flow field at the top end of the twisted section 51 of the middle pier 4 to be set according to the numerical calculation result, and recording the flow field as a T-T section, wherein the position of the T-T section in the water outlet flow channel is shown in FIG. 6(a) and FIG. 6 (b); the cross-sectional view of the T-T section is shown in FIG. 6 (c);
(3) as shown in fig. 6(c), the vertical bisector of the T-T section is divided into 2n equal parts, n is 5, and the number of the equal parts is ①, ②, ③, …, and,
Figure BDA0002290600840000091
There were 11 points in total;
(4) sequentially acquiring the flow velocity of the 1 st to 11 th points in the x, y and z directions from the T-T section flow field taken out in the step (2); the positive direction x is that the inlet of the water outlet channel points to the outlet in the horizontal plane, the positive direction y is that the right side points to the left side when viewed along the water flow direction in the horizontal plane, and the positive direction z is that the lower side points to the upper side perpendicular to the horizontal plane;
(5) calculating the included angle theta between the absolute speed direction of each point and the x direction according to the flow velocity in the x, y and z directions of each extracted bisectori(ii) a The calculation result of 11 points is theta1=58°、θ2=46°、θ3=34°、θ4=22°、θ5=10°、θ6=0°、θ7=-10°、θ8=-22°、θ9=-34°、θ10=-46°、θ11=-58°;
(6) Equally dividing the twisted section 51 of the middle partition pier 4 in the z direction according to the position of each equal division point to obtain 11 sections which are numbered as 1-1 section, 2-2 section, 3-3 section, 4-4 section, 5-5 section, 6-6 section, 7-7 section,The cross sections are 8-8, 9-9, 10-10 and 11-11, and the shape of each cross section is a curved triangle, as shown in FIG. 7; the origin of coordinates of each cross section is represented as OiI ═ 1,2,3, … …, 11; the distances of the vertexes of the 11 sections in the x direction are all 0; the distance between the 1 st section vertex and the 11 th section vertex in the y direction is 2Bgj1.692m, the distance from the 1 st section vertex to the 11 th section vertex in the y direction is divided into 10 equal parts, each part is 2Bgj0.169 m/10; accordingly, coordinates of the 1 st cross section to the 11 th cross section from the vertex are (0, -0.846), (0, -0.667), (0, -0.508), (0, -0.338), (0, -0.169), (0, 0), (0, 0.169) (0, 0.338), (0, 0.508), (0, 0.667), (0, 0.846);
(7) dividing the curve triangle of each section into a left side line 511 and a right side line 512, and determining the coordinates of the tail ends of the left side line 511 and the right side line 512 of each section; the coordinates of the end of each cross-section left side line 511 are (2.5, 0.423), and the coordinates of the end of each cross-section right side line 512 are (2.5, -0.423);
(8) calculating the left line 511 of each section; using the curve equation y to the left edge line of the ith sectionzi=yzi(x) Expressed in terms of the angle theta of the curve equation with respect to the direction of the absolute flow velocity at the apex of the ith cross-sectioniSectional apex coordinates
Figure BDA0002290600840000092
Left line end coordinate (L)gt,Bgj/2) and transition spread angle θgjObtaining; each curve equation has 5 undetermined coefficients:
yzi=azi+bzix+czix2+dzix3+ezix4(1)
in the formula, azi、bzi、czi、dziAnd ezi(i ═ 1,2,3, … …,2n +1) is the coefficient to be determined;
the ith cross-section left side line yzi=yzi(x) Both the vertex and the end of (c) satisfy the boundary condition that ① vertex passes through
Figure BDA0002290600840000101
Figure BDA0002290600840000102
Point ② the slope of the tangent line at the apex is equal to tan thetaiTo ensure that the water flow direction flows along the direction of the vertex tangent line to avoid vortex generated by water flow shedding, ③ end passing (L)gt,BgjPoint/2) and the slope of the tangent at the end of ④ equal to tan (theta)gjThe/2) to enable the water flow to smoothly transit with the transition section of the middle partition pier;
for yzi=yzi(x) Introducing 1 adjusting point, and selecting proper coordinates (x) of the adjusting points according to the linear adjustment requirement of each curvezti,yzti) The water flow direction can be smoothly and orderly adjusted by the obtained curve, and the phenomenon that the left hole of the water outlet flow channel generates flow separation to form vortex is prevented; through the introduced adjusting points, a closed equation set can be respectively established for the left line of the ith section, so that the pending coefficient of the curve equation of the left line of the ith section is obtained, and the curve equation y of the left line of the ith section is obtainedzi=yzi(x);
Curve equation y for the 1 st cross-sectional left edge 511z1=yz1(x) The vertices and ends of (2) satisfy the boundary conditions of: the vertex passes through the (0, -0.846) point, and the tangent slope of the vertex is equal to tan thetai1.600, the end passes through the (2.5, 0.423) point, the end tangent slope is equal to tan (6/2) ═ 0.05; the curve equation of the 1 st section left edge 511 is calculated as:
yz1=-0.846+1.6x-0.676x2+0.09x3+0.002x4(1-1)
the curve equation of the left side line 511 from the 2 nd section to the 11 th section obtained by the same method is as follows:
yz2=-0.677+1.036x-0.351x2+0.057x3-0.005x4(1-2)
yz3=-0.508+0.675x-0.096x2-0.017x3+0.003x4(1-3)
yz4=-0.338+0.404x+0.040x2-0.039x3+0.003x4(1-4)
yz5=-0.169+0.176x+0.159x2-0.068x3+0.006x4(1-5)
yz6=0.000+0.010x+0.178x2-0.047x3+0.001x4(1-6)
yz7=0.169-0.087x+0.036x2+0.07x3-0.022x4(1-7)
yz8=0.338-0.213x+0.196x2-0.041x3+0.001x4(1-8)
yz9=0.508-0.305x+0.172x2-0.021x3-0.002x4(1-9)
yz10=0.677-0.404x+0.187x2-0.029x3+0.001x4(1-10)
yz11=0.846-0.488x+0.126x2+0.017x3-0.007x4(1-11)
(9) calculating the right side line 512 of each section; using the curve equation y for the ith section right edge lineyi=yyi(x) Expressed, the curve equation is according to the angle theta of the absolute flow velocity direction at the ith cross-section vertexiSectional apex coordinates
Figure BDA0002290600840000111
Left line end coordinate (L)gt,Bgj/2) and transition spread angle θgjObtaining; each curve equation has 5 undetermined coefficients:
yyi=ayi+byix+cyix2+dyix3+eyix4(2)
in the formula, ayi、byi、cyi、dyiAnd eyi(i ═ 1,2,3, … …,2n +1) is the coefficient to be determined;
the ith cross section right side line curve equation yzi=yzi(x) The vertices and ends of (a) need to satisfy boundary conditions: passing of vertex
Figure BDA0002290600840000112
Figure BDA0002290600840000113
The slope of the tangent to the apex is equal to tan thetaiEnd through (L)gt,-Bgj2), the slope of the tangent to the end is equal to tan (-theta)gj/2);
For yyi=yyi(x) Introducing 1 adjusting point, and selecting proper coordinates (x) of the adjusting points according to the linear adjustment requirement of each curveyti,yyti) The water flow direction can be smoothly and orderly adjusted by the obtained curve, and the phenomenon that the right hole of the water outlet flow channel generates flow separation to form a vortex is prevented; through the introduced adjusting points, a closed equation set can be respectively established for the right side line of the ith section, so that undetermined coefficients of a curve equation of the right side line of the ith section are obtained;
right side line 512 curve equation y of 1 st sectiony1=yy1(x) The vertices and ends of (2) satisfy the boundary conditions of: the vertex passes through the (0, -0.846) point, and the tangent slope of the vertex is equal to tan thetaiThe end passes through the point (2.5, -0.423), and the slope of the tangent to the end is equal to tan (-6/2) — 0.05; the curve equation of the 1 st section right edge line 512 is calculated as:
yy1=-0.846+0.488x-0.126x2-0.017x3+0.007x4(2-1)
the curve equation of the right side line 512 from the 2 nd section to the 11 th section obtained by the same method is as follows:
yy2=-0.677+0.404x-0.187x2+0.029x3-0.001x4(2-2)
yy3=-0.508+0.305x-0.172x2+0.021x3+0.002x4(2-3)
yy4=-0.338+0.213x-0.196x2+0.041x3-0.001x4(2-4)
yy5=-0.169+0.087x-0.036x2-0.07x3+0.022x4(2-5)
yy6=0.000-0.010x-0.178x2+0.047x3-0.001x4(2-6)
yy7=0.169-0.176x-0.159x2+0.068x3-0.006x4(2-7)
yy8=0.338-0.404x-0.040x2+0.039x3-0.003x4(2-8)
yy9=0.508-0.675x+0.096x2+0.017x3-0.003x4(2-9)
yy10=0.677-1.036x+0.351x2-0.057x3+0.005x4(2-10)
yy11=0.846-1.6x+0.676x2-0.09x3-0.002x4(2-11)
(10) the curve of the left side line 511 of each section is represented by a sectional position diagram and coordinate data according to the curve equation of the left line 511 from the 1 st section to the 11 th section, the sectional position diagram is shown in fig. 8(a) to 8(k), and the coordinate data is shown in tables 2 to 12;
(11) according to the right side line 512 curve equation of each section, the right side line 512 curve of each section is represented by coordinate data and section position diagrams, the section position diagrams are shown in fig. 8(a) to fig. 8(k), and the coordinate data are listed in tables 2 to 12;
table 2 data table unit of the left side line and the right side line of the section 1-1 of the twisted section of the middle pier: m is
Figure BDA0002290600840000121
Table 3 data table unit of the left side line and the right side line of the section 2-2 of the twisted section of the middle pier: m is
Figure BDA0002290600840000122
Figure BDA0002290600840000131
Table 4 data table unit of the left side line and the right side line of the section 3-3 of the twisted section of the middle pier: m is
Figure BDA0002290600840000132
Table 5 data table unit of the left side line and the right side line of the section 4-4 of the twisted section of the middle pier: m is
Table 6 data table unit of the left side line and the right side line of the section 5-5 of the twisted section of the middle pier: m is
Figure BDA0002290600840000134
Figure BDA0002290600840000141
Table 7 data table unit of the section of the twisted section of the middle pier 6-6 left side line and right side line: m is
Figure BDA0002290600840000142
Data table unit of the section of the twisted section of the middle pier 7-7 of the table 8, the left side line and the right side line: m is
Figure BDA0002290600840000143
Table 9 data table unit of the section of the twisted section of the middle pier 8-8 left side line and right side line: m is
Figure BDA0002290600840000144
Figure BDA0002290600840000151
Data table unit of the section of the twisted section of the middle pier 9-9 of the table 10, the left side line and the right side line: m is
Figure BDA0002290600840000152
Data table unit of the section 10-10 of the twisted section of the middle pier in the table 11, the left side line and the right side line: m is
Figure BDA0002290600840000153
Data table unit of the section of the twisted section of the middle pier 11-11 left side line and right side line in table 12: m is
Figure BDA0002290600840000154
Figure BDA0002290600840000161
(12) The sections of the twisted sections 51 of the middle dividing piers 4 are smoothly and smoothly connected in the z direction to form an S-shaped twisted surface body, as shown in FIG. 2;
8. the designed middle partition pier 4 is applied to the station water outlet flow channel, the twisted section 51 of the middle partition pier 4 is made of steel in a factory, and the gradual change section 52, the middle part 6 and the tail part 7 are cast with concrete on site; conveying the twisted section 51 of the manufactured and formed middle partition pier 4 to a site for positioning and installation, welding the twisted section 51 with a reinforcing steel bar tied at the inlet of the gradual change section 52, and finally pouring concrete to form the complete middle partition pier 4;
9. the three-dimensional flow field of the water outlet flow channel adopting the conventional middle dividing pier is shown in figure 9, and an obvious vortex area exists in the flow channel; the flow field of the water outlet flow channel adopting the dividing pier is shown in figure 10, the vortex in the flow channel is eliminated, the water flow moves smoothly and uniformly, and the flow state is good.

Claims (10)

1. A middle partition pier of a water outlet flow passage of a large front-mounted through-flow pump station is characterized in that the water outlet flow passage is sequentially divided into an inlet circular platform section, a middle diffusion transition section and an outlet gate section from an inlet to an outlet along the water flow direction, and the middle partition pier is arranged in the water outlet flow passage; the longitudinal center line of the middle partition pier is superposed with the longitudinal center line of the water outlet flow channel, and the thickness direction of the middle partition pier is the same as the width direction of the water outlet flow channel;
the middle partition pier is sequentially divided into a front part, a middle part and a tail part along the water flow direction, the front part is positioned in the middle diffusion transition section of the water outlet flow channel, and the middle part and the tail part are positioned in the outlet gate section of the water outlet flow channel; the front part comprises a twisting section and a gradual change section, an inlet of the gradual change section is connected with an outlet of the twisting section, an outlet of the gradual change section is connected with an inlet of the middle part, and an outlet of the middle part is connected with an inlet of the tail part.
2. The middle partition pier of the water outlet channel of the large-scale front-mounted through-flow pump station according to claim 1, wherein the shape of the twisted section is an S-shaped twisted surface body, the top end of the inlet of the twisted section is S-shaped, and the outlet of the twisted section is a rectangular surface.
3. The middle dividing pier of the water outlet flow channel of the large-scale front-mounted through-flow pump station according to claim 1, wherein the transition section of the middle dividing pier in the water outlet flow channel is a diffusion section, the section of the transition section is gradually increased from the inlet direction to the outlet direction, and the diffusion angle of the transition section is smaller than or equal to the plane diffusion angle of the water outlet flow channel.
4. The middle partition pier of the water outlet channel of the large-scale front-mounted through-flow pump station according to claim 1, wherein the cross section of the middle part of the middle partition pier is rectangular with equal width.
5. The middle partition pier of the water outlet channel of the large-scale front-mounted through-flow pump station according to claim 4, wherein the middle part of the middle partition pier is respectively provided with door slots at two sides near the inlet to be matched with the working gate, and door slots at two sides near the outlet to be matched with the accident gate.
6. The middle partition pier of the water outlet channel of the large-scale front-mounted through-flow pump station according to claim 5, wherein the thickness of the middle part of the middle partition pier is BgzAccording to the depth B of the gate slot required by mounting the gatemcAnd groove neck thickness BcjDetermination of Bgz=2Bmc+Bcj(ii) a The length L of the middle part of the middle partition piergzThe distance L between the central lines of the working gate slot and the accident gate slotmmGate slot width HmcDetermination of Lgz=Lmm+Hmc+0.5+0.5, in m.
7. The middle dividing pier of the water outlet channel of the large-scale front-mounted through-flow pump station according to claim 1, wherein the tail part of the middle dividing pier is streamline to eliminate a low-speed area generated by the adoption of the tail part of a semicircular dividing pier.
8. The middle dividing pier of the water outlet flow channel of the large-scale front-mounted through-flow pump station according to claim 1, wherein the middle dividing pier twisted section is made of steel, and the gradual change section, the middle part and the tail part are poured by concrete; and (4) welding the twisted section and the inlet of the gradual change section by binding steel bars, and finally pouring concrete to form the complete middle partition pier.
9. A design method of a partition pier in a water outlet flow channel of a large front-located through-flow pump station is characterized by comprising the following steps:
(1) dividing a water outlet flow channel of a large front-mounted through-flow pump station into an inlet circular platform section, a middle diffusion transition section and an outlet gate section from an inlet to an outlet in sequence along the water flow direction, and arranging a middle dividing pier in the water outlet flow channel;
(2) the longitudinal center line of the middle partition pier is superposed with the longitudinal center line of the water outlet flow channel, the thickness direction of the middle partition pier is the same as the width direction of the water outlet flow channel, and the length L of the middle partition pier is equal to the length L of the water outlet flow channelgFrom the length L of the exit gate sectionczLength L required by stable structure of water outlet channelwAre determined jointly, Lg=Lcz+Lw
(3) According to the action of the middle partition pier in the water outlet flow channel, the middle partition pier is sequentially divided into a front part, a middle part and a tail part along the water flow direction, the front part is positioned in a middle diffusion transition section of the water outlet flow channel, and the middle part and the tail part are positioned in an outlet gate section of the water outlet flow channel; the front portion includes a twist section and a transition section;
(4) the middle part of the middle partition pier needs to have enough thickness for installing a working gate and an accident gate, and the thickness B of the middle part of the middle partition piergzAccording to the depth B of the gate slot required by mounting the gatemcAnd groove neck thickness BcjDetermination of Bgz=2Bmc+BcjThickness of the groove neck BcjIs 0.3m to meet the requirements of structural strength and concrete pouring; the length L of the middle part of the middle partition piergzThe distance L between the central lines of the working gate slot and the accident gate slotmmGate slot width HmcDetermination of Lgz=Lmm+Hmc+0.5+0.5 in m;
(5) the tail part of the middle partition pier is streamline to prevent the tail part of the middle partition pier from generating a karman vortex to increase the head loss of the water outlet flow channel, the molded line of the tail part of the middle partition pier is divided into a left side line and a right side line and is represented by a section position diagram and a section data table;
(6) the middle partition pier transition section is a diffusion section, an outlet of the transition section is connected with a middle inlet, and an inlet of the transition section is connected with an outlet of the distortion section, so that water flow smoothly diffuses and flows; the diffusion angle of the transition section is thetagjIn order to prevent the water flow in the left hole and the right hole of the water outlet flow passage from shrinking and flowing, the diffusion angle theta of the transition section of the middle partition pier is requiredgjLess than or equal to the plane spread angle theta of the water outlet runnercp(ii) a The length of the transition section of the middle partition pier is LgjThe thickness of the section of the inlet of the transition section is
Figure FDA0002290600830000021
BgjIs 0.2m to meet the requirement of concrete pouring; according to the diffusion angle theta of the transition sectiongjLength L ofgjAnd inlet section thickness BgjDrawing a transition section single line diagram;
(7) designing a three-dimensional body of the middle partition pier twisting section according to the water flow velocity distribution condition at the top end position of the middle partition pier twisting section in the water outlet flow channel so as to adjust the flowing direction of the rotating water flow; the top end of the middle partition pier twisting section is S-shaped, the outlet of the twisting section is a rectangular surface and is connected with the inlet of the gradual change sectionConnecting; length L of the twisted sectiongt=Lw-Lgj(ii) a The three-dimensional body of the twisted section is an S-shaped twisted surface body;
(8) the shape of the middle partition pier twisting section is complex, the middle partition pier twisting section is made of steel in a factory, and the shapes of the gradual change section, the middle part and the tail part are simple, and concrete is poured on site; and (3) conveying the manufactured and formed middle partition pier twisted section to a site for positioning and installation, welding the twisted section with a reinforcing steel bar tied at the inlet of the gradual change section, and finally pouring concrete to form the complete middle partition pier.
10. The method for designing the partition pier in the water outlet flow channel of the large-scale front-mounted through-flow pump station according to claim 9, wherein in the step (7), the partition pier twisting section is designed in a three-dimensional shape based on numerical simulation results of the three-dimensional flow field of the water outlet flow channel, and the following steps are adopted:
(1) performing flow field numerical calculation on the water outlet flow channel of the large front-mounted through-flow pump station without a middle partition pier based on a three-dimensional turbulent flow numerical simulation method of the water outlet flow channel;
(2) taking a flow field at the top end of the middle partition pier twisted section according to the numerical calculation result, and recording the flow field as a T-T section;
(3) dividing a vertical bisector of the T-T section into 2n equal parts, wherein n is a natural number greater than 4, and numbering equal parts from top to bottom as 1,2,3, … and 2n + 1;
(4) sequentially acquiring the flow velocity of the 1 st to 2n +1 st points in the x, y and z directions from the T-T section flow field taken out in the step (2); the positive direction x is that the inlet of the water outlet channel points to the outlet in the horizontal plane, the positive direction y is that the right side points to the left side when viewed along the water flow direction in the horizontal plane, and the positive direction z is that the lower side points to the upper side perpendicular to the horizontal plane;
(5) calculating the included angle between the absolute speed direction of each point and the x direction according to the flow velocity of each extracted bisector in the x, y and z directions, and recording the included angle as thetai,i=1,2,3,……,2n+1;
(6) Equally dividing the middle partition pier twisted section in the z direction according to the position of each equal division point to obtain 2n +1 sections, wherein each section is in a curve triangle shape; coordinates of each sectionThe origin is marked as OiI ═ 1,2,3, … …,2n + 1; determining the position of each section vertex, wherein the coordinate of each section vertex in the x direction is 0; the distance between the 1 st section vertex and the 2n +1 th section vertex in the y direction is 2 xBgjDividing the distance between the 1 st section vertex and the 2n +1 th section vertex in the y direction by 2n, wherein each part is BgjN; accordingly, the coordinates from the 1 st section to the 2n +1 th section vertex are obtained
Figure FDA0002290600830000031
Wherein i is 1,2,3, … …,2n + 1;
(7) dividing the curve triangle of each section into a left side line and a right side line, and determining the coordinates of the tail ends of the left side line and the right side line of each section; the coordinate of the end of the left line of each section is (L)gt,BgjAnd/2) the coordinate of the end of the right edge of each section is (L)gt,-Bgj/2);
(8) Calculating the left side line of each section; using the curve equation y to the left edge line of the ith sectionzi=yzi(x) Expressed in terms of the angle theta of the curve equation with respect to the direction of the absolute flow velocity at the apex of the ith cross-sectioniSectional apex coordinates
Figure FDA0002290600830000033
Left line end coordinate (L)gt,Bgj/2) and transition spread angle θgjObtaining; each curve equation has 5 undetermined coefficients:
yzi=azi+bzix+czix2+dzix3+ezix4(1)
in the formula, azi、bzi、czi、dziAnd ezi(i ═ 1,2,3, … …,2n +1) is the coefficient to be determined;
the ith cross-section left side line yzi=yzi(x) The vertex and the tail end of the point need to satisfy the boundary strip① apex passing through
Figure FDA0002290600830000034
Figure FDA0002290600830000041
Point ② the slope of the tangent line at the apex is equal to tan thetaiTo ensure that the water flow direction flows along the direction of the vertex tangent line to avoid vortex generated by water flow shedding, ③ end passing (L)gt,BgjPoint/2) and the slope of the tangent at the end of ④ equal to tan (theta)gjThe/2) to enable the water flow to smoothly transit with the transition section of the middle partition pier;
for yzi=yzi(x) Introducing 1 adjusting point, and selecting proper coordinates (x) of the adjusting points according to the linear adjustment requirement of each curvezti,yzti) The water flow direction can be smoothly and orderly adjusted by the obtained curve, and the phenomenon that the left hole of the water outlet flow channel generates flow separation to form vortex is prevented; a closed equation set can be established for the left line of the ith section through the introduced adjusting point, so that the pending coefficient of the curve equation of the left line of the ith section is obtained, and the curve equation y of the left line of the ith section is obtainedzi=yzi(x);
(9) Calculating the right side line of each section; using the curve equation y for the ith section right edge lineyi=yyi(x) Expressed, the curve equation is according to the angle theta of the absolute flow velocity direction at the ith cross-section vertexiSectional apex coordinatesRight edge line end coordinate (L)gt,-Bgj/2) and transition spread angle θgjObtaining; each curve equation has 5 undetermined coefficients:
yyi=ayi+byix+cyix2+dyix3+eyix4(2)
in the formula, ayi、byi、cyi、dyiAnd eyi(i ═ 1,2,3, … …,2n +1) is to be determinedA coefficient;
the ith cross-section right side line yzi=yzi(x) Both the vertex and the end of (c) satisfy the boundary condition that ① vertex passes through
Figure FDA0002290600830000043
Figure FDA0002290600830000044
Point ② the slope of the tangent line at the apex is equal to tan thetaiTo ensure that the water flow direction flows along the direction of the vertex tangent line to avoid vortex generated by water flow shedding, ③ end passing (L)gt,-BgjPoint/2) and the slope of the tangent at the end of ④ equal to tan (-theta)gjThe/2) to enable the water flow to smoothly transit with the transition section of the middle partition pier;
for yyi=yyi(x) Introducing 1 adjusting point, and selecting proper coordinates (x) of the adjusting points according to the linear adjustment requirement of each curveyti,yyti) The water flow direction can be smoothly and orderly adjusted by the obtained curve, and the phenomenon that the right hole of the water outlet flow channel generates flow separation to form a vortex is prevented; through the introduced adjusting point, a closed equation set can be established for the right side line of the ith section, so that the undetermined coefficient of the curve equation of the right side line of the ith section is obtained;
(10) according to the left side curve equation of each section, the left side curve of each section is represented by coordinate data and a section position map, so that lofting and processing are facilitated during manufacturing;
(11) according to the right side line curve equation of each section, the right side line curve of each section is represented by coordinate data and a section position map so as to facilitate lofting and processing during manufacturing;
(12) and the sections of the middle partition pier twisted section are smoothly and smoothly connected in the z direction to form an S-shaped twisted surface body.
CN201911178387.9A 2019-11-27 2019-11-27 Middle partition pier of water outlet flow channel of large front-mounted through-flow pump station and design method Pending CN110847288A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111733768A (en) * 2020-05-27 2020-10-02 长江水利委员会长江科学院 Pier tail structure of double-line water delivery aqueduct

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111733768A (en) * 2020-05-27 2020-10-02 长江水利委员会长江科学院 Pier tail structure of double-line water delivery aqueduct

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