CN112160935B - A kind of centrifugal pump bionic twisted blade pit arrangement method and blade for noise reduction - Google Patents

A kind of centrifugal pump bionic twisted blade pit arrangement method and blade for noise reduction Download PDF

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CN112160935B
CN112160935B CN202011139125.4A CN202011139125A CN112160935B CN 112160935 B CN112160935 B CN 112160935B CN 202011139125 A CN202011139125 A CN 202011139125A CN 112160935 B CN112160935 B CN 112160935B
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blade
pits
pit
spacing
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CN112160935A (en
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代翠
仇俊峰
董亮
陈怡平
王照雪
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Jiangsu University
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04DNON-POSITIVE-DISPLACEMENT PUMPS
    • F04D29/00Details, component parts, or accessories
    • F04D29/18Rotors
    • F04D29/22Rotors specially for centrifugal pumps
    • F04D29/24Vanes
    • F04D29/242Geometry, shape
    • F04D29/245Geometry, shape for special effects
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04DNON-POSITIVE-DISPLACEMENT PUMPS
    • F04D29/00Details, component parts, or accessories
    • F04D29/66Combating cavitation, whirls, noise, vibration or the like; Balancing
    • F04D29/669Combating cavitation, whirls, noise, vibration or the like; Balancing especially adapted for liquid pumps

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Abstract

本发明一种用于降噪的离心泵仿生扭曲叶片凹坑布置方法及叶片,选择仿生原型;确定仿生区域:将仿生凹坑的起始位置布置在叶片工作面出口,仿生凹坑的终止位置布置在光滑叶片的流体分离线区域;确定仿生凹坑的直径和间距:通过选取的仿生体表面面积与仿生叶片仿生区域的面积的比值作为参照,确定仿生凹坑直径、间距范围,再确定凹坑直径、凹坑间距的具体数值;布置仿生凹坑:确定仿生凹坑布置方式,采用矩形顺排阵列布置,将凹坑以组为单位依次布置。相较于以往布置方式,本发明降噪效果更好,更适用扭曲叶片复杂的流动情况。

Figure 202011139125

The invention relates to a method for arranging a bionic twisted blade pit of a centrifugal pump for noise reduction and a blade, selecting a bionic prototype; determining a bionic area: arranging the starting position of the bionic pit at the outlet of the blade working surface, and the end position of the bionic pit Arranged in the fluid separation line area of the smooth blade; determine the diameter and spacing of the bionic pits: By taking the ratio of the surface area of the bionic body and the area of the bionic area of the bionic blade as a reference, determine the diameter and spacing of the bionic pits, and then determine the range of the bionic pits. Specific values of pit diameter and pit spacing; Layout of bionic pits: Determine the layout of bionic pits, adopt a rectangular array arrangement, and arrange the pits sequentially in groups. Compared with the previous arrangement, the present invention has better noise reduction effect, and is more suitable for complicated flow conditions of twisted blades.

Figure 202011139125

Description

Method for arranging pits of bionic twisted blades of centrifugal pump for noise reduction and blades
Technical Field
The invention belongs to the field of fluid machinery, and particularly relates to a method for arranging pits of a bionic twisted blade of a centrifugal pump for noise reduction and a blade.
Background
Centrifugal pumps are typical vane-type fluid machines and have wide application in daily life and production practice. The flow noise is one of the main noises generated by the centrifugal pump, and the hearing and the physical health of people are seriously affected. The generation of flow noise is related to pressure pulsation formed by strong mutual renting of centrifugal pump blades and fluid, and partial research on reducing the flow noise is focused on non-smooth surface bionic of the blades at present.
The existing research shows that the bionic pit structure arranged on the blade can effectively reduce the speed gradient near the pit arrangement, inhibit the transition of the near-wall fluid from laminar flow to turbulent flow, change the flow structure and further achieve the noise reduction effect. At present, a method for arranging a pit bionic structure mainly adopts a radial distance, an axial distance and a projection method on a cylindrical blade, but the method is difficult to use on a twisted blade with a complex blade structure, most of the existing methods for arranging the pit bionic structure are resistance reduction, and the research on the flow noise of a centrifugal pump blade is lacked.
Disclosure of Invention
In order to solve the technical problems, the invention provides a method for arranging pits of a bionic twisted blade of a centrifugal pump for noise reduction and the blade. The diameters and the interval ranges of the bionic pits are determined based on the ratio of the selected bionic body surface area to the area of the bionic region of the blade as a reference, and the pits are arranged by providing a pit arrangement mode suitable for the twisted blade in consideration of the fact that the actual flow characteristics in the impeller are continuously changed along the flow direction. Compared with the conventional arrangement mode, the invention has better noise reduction effect and is more suitable for the complicated flow condition of the twisted blade.
A method for arranging pits of a bionic twisted blade of a centrifugal pump for noise reduction comprises the following steps:
selecting a bionic prototype;
determining a bionic region: arranging the starting position of the bionic pit at the outlet of the working surface of the blade, and arranging the ending position of the bionic pit in the region of the fluid separation line of the smooth blade;
determining the diameter and the spacing of the bionic pits: determining the diameters and the interval ranges of the bionic pits by taking the ratio of the surface area of the bionic body to the area of the bionic region of the bionic blade as a reference, and then determining the specific numerical values of the diameters and the intervals of the pits;
arranging bionic pits: determining a bionic pit arrangement mode, adopting rectangular in-line array arrangement, and sequentially arranging pits in groups.
In the scheme, in the step of selecting the bionic prototype, dung beetles with pit structures on the body surfaces are selected as the bionic prototype.
In the above scheme, in the step of determining the bionic region, the separation line is formed by extending a separation point of the blade fluid as a base point in a spanwise direction of the blade working surface.
In the above scheme, in the step of determining the diameter and the distance of the bionic pits, the determination of the specific numerical values of the diameter and the distance of the pits is specifically as follows:
the bionic pit structure is divided into n groups in the flow direction, the variable values in the same group are kept the same, and the diameter of each group of pits is d from the outlet of the blade to the fluid separation line of the blade1,d2,d3…dn,d1<d2<d3…<dnTaking the average value of the spanwise widths of each group as
Figure BDA0002737709790000021
The diameter of the pit is represented by the formula
Figure BDA0002737709790000022
Determining and converting the spacing into a dimensionless parameter:
Figure BDA0002737709790000023
u is the transverse pitch and v is the longitudinal pitch.
Further, the dimensionless parameter is:
Figure BDA0002737709790000024
in the above scheme, in the step of arranging the bionic pits, the determining of the arrangement mode of the bionic pits specifically includes:
(1) the surface of the blade is unfolded into a two-dimensional plane, and the coordinate axis is converted from an X/y axis to an X along the flow directioncAxis and Y extending upwardscAxis, using point Xc/YcProjection on axis (X)c0,Yc0) To indicate the position of any point on the blade surface; the points passing through the surface of the blade thus correspond to X respectivelyc=Xc0And Yc=Yc0Two approximate blade profiles, thereby establishing an X on the curved surfacec/YcA coordinate system;
(2) the bionic pits are arranged in a rectangular array, and the pits are sequentially arranged in groups according to the pit spacing requirement.
Further, X in the step (1)c0And Yc0In order to be a dimensionless parameter,the value range is [0,1 ]]Representing the bionic region position; assumed point (X)c0,Yc0) The flow direction profile X of the bladec=Xc0Has a length of a0Spanwise line Yc=Yc0Length b0Thus, the assumed point divides the bionic region into X along the flow directionc0a0And (1-X)c0)a0Dividing the profile line into Yc0b0And (1-Y)c0)b0And from this determines the position of the point.
Furthermore, the spanwise direction of the bionic pits in the step (2) is symmetrically distributed along the middle profile line of the blade, and the pit distance between two adjacent groups of pits is determined by the spanwise distance of the rear group.
Further, in the pit arrangement process, the step (2) makes a pit pitch dimensionless, and the formula is as follows:
radial spacing dimensionless formula:
Figure BDA0002737709790000025
the axial spacing dimensionless formula:
Figure BDA0002737709790000026
wherein u 'is a radial spacing dimensionless result, v' is an axial spacing dimensionless result, d0For the dimensional pit diameter, U, V is a dimensionless parameter of the pitch, a is the dimensional length of the spanwise profile where the flow direction profile in the middle of the blade is located, and b is the dimensional length of the spanwise profile where the first row of pits is located.
A blade is a centrifugal pump bionic twisted blade, pits are arranged on the centrifugal pump bionic twisted blade, and the pits are arranged according to the arrangement method of the pits of the centrifugal pump bionic twisted blade for noise reduction.
Compared with the prior art, the invention has the beneficial effects that:
1. the starting position of the bionic pit is arranged at the outlet position of the working surface of the blade, and the ending position of the bionic pit is arranged in the fluid separation line area of the smooth blade. Not only the higher pressure of the working surface is considered, but also the larger influence on noise is considered; and the invention takes into account the influence of the flow field on the noise.
2. According to the method, the pits with the same diameter are arranged in the area with smaller flow field change on the surface of the smooth blade according to the flow field analysis result, so that the bionic pit structure is divided into n groups in the flow direction, the variable values in the same group are required to be kept the same, and the variable values in different groups are independent. And the diameter of each group of pits is determined by the average value of the spanwise width of each group, so that the complexity of pit arrangement is reduced, and the influence of a complex flow condition on pit distribution is reduced.
3. Aiming at the complex flow condition of the twisted blade, the invention provides a pit arrangement mode suitable for the twisted blade to arrange pits, so that the pit noise reduction effect is more obvious.
Drawings
Fig. 1 is a flow chart of a pit arrangement according to an embodiment of the present invention.
FIG. 2 shows an X on a curved surface according to an embodiment of the present inventionc/YcA schematic diagram of a coordinate system.
Fig. 3 is a schematic diagram of a dimple arrangement according to an embodiment of the present invention.
FIG. 4 is a raw centrifugal pump impeller water model of an embodiment of the present invention.
FIG. 5 is a flow field analysis performed to determine separation points in accordance with an embodiment of the present invention.
FIG. 6 is a constructed bionic blade according to an embodiment of the invention.
FIG. 7 is a water model of a centrifugal pump impeller equipped with smooth blades according to an embodiment of the present invention.
Fig. 8 is a graph showing the amplitude-frequency comparison of the sound pressure level before and after the bionics according to an embodiment of the present invention.
In the figure, 1, a starting position; 2. an end position; 3. a pit arrangement area; 4. a first set of pits; 5. a second set of dimples; 6. a third set of dimples; 7. a fluid separation line.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the drawings are illustrative and intended to be illustrative of the invention and are not to be construed as limiting the invention.
As shown in FIG. 1, a method for arranging bionic twisted blade pits of a centrifugal pump for noise reduction comprises the following steps:
selecting a bionic prototype: catharsii Molossi with a pit structure on the body surface is selected as a bionic prototype.
Determining a bionic region: the pressure of the working surface is high, so that the noise influence is large, and in order to control interference factors, the starting position 1 of the bionic pit is arranged at the outlet of the working surface of the blade, and the ending position 2 of the bionic pit is arranged in the fluid separation line area of the smooth blade, so that the pit arrangement area 3 is determined. The smooth blade fluid separation line 7 results in a method: selecting a blade working surface of the smooth blade pump in CFD-Post processing software for flow field analysis to obtain a blade streamline bifurcation point, namely a separation point of fluid, and extending along the spanwise direction of the blade working surface by taking the separation point as a base point to form a separation line.
Determining the diameters and the intervals of the bionic pits: the determination of the pit diameter and the pit spacing is determined based on a bionics thought, the bionic pit diameter and the space range are determined by taking the ratio of the selected bionic body surface area to the bionic blade bionic area as a reference, and the specific numerical value is determined by comprehensively considering the blade thickness and the width change of the blade along the flow field direction.
Because the flow field is continuously changed along the flow line as a whole, but the local change is small, in order to reduce the arrangement difficulty of the pits, the invention arranges the pits with the same diameter in the area with small change of the flow field on the surface of the smooth blade according to the analysis result of the flow field, so that the bionic pit structures are uniformly divided into n groups in the flow direction, the variable values in the same group are required to be kept the same, and the variable values in different groups are independent. Each group of pits grouped according to the requirement is divided into fluid parts along the blade outlet to the bladeOff-line is respectively d1,d2,d3…dnSince the closer to the blade face exit, the denser the flow field lines and the more complex the flow field, d is1<d2<d3…<dnAnd comprehensively considering the thickness and the spanwise width of the blade, and taking the average value of the spanwise widths of each group as
Figure BDA0002737709790000041
The pit diameter is determined by the optimization formula
Figure BDA0002737709790000042
And converting the spacing into dimensionless parameters:
Figure BDA0002737709790000043
through orthogonal experimental combination, dimensionless parameters are obtained:
Figure BDA0002737709790000044
Figure BDA0002737709790000045
determining the arrangement mode of the bionic pits: referring to the dividing method of the longitude and latitude of the earth, a bionic pit structure arrangement method suitable for being distorted on a distorted blade is designed, and is shown in figure 2. The method mainly comprises the following two steps:
(1) the surface of the blade is unfolded into a two-dimensional plane, and the coordinate axis is converted from an X/y axis to an X along the flow directioncAxis and Y extending upwardscAxis, thus can be dotted at Xc/YcProjection on axis (X)c0,Yc0) To indicate the position of any point on the blade surface. The points passing through the surface of the blade thus correspond to X respectivelyc=Xc0And Yc=Yc0Two are approximated by the blade profile. Thereby establishing X on the curved surfacec/YcA coordinate system as shown in fig. 2.
(2) The bionic pits are arranged in a rectangular array, and the pits are sequentially arranged in groups according to the pit spacing requirement.
Preferably, step (1) is used to express X of a certain point coordinatec0And Yc0Is a dimensionless parameter with a value range of [0, 1%]Representing the bionic region position.
Preferably, a point (X) is assumedc0,Yc0) The flow direction profile X of the bladec=Xc0Has a length of a0Spanwise line Yc=Yc0Length b0Thus, the assumed point divides the bionic region into X along the flow directionc0a0And (1-X)c0)a0Dividing the profile line into Yc0b0And (1-Y)c0)b0And thereby determine the location of the point in the software.
Preferably, in step (2), the number of pits per column in each group is arranged as large as possible. The span direction of the bionic pit is along the middle profile line of the blade, namely curve YcThe pits are symmetrically arranged about 0.5, and the distance between the two groups of pits is determined by the span-wise distance of the rear group.
Arranging bionic pits: according to the determined bionic pit arrangement mode, rectangular in-line array arrangement is adopted, and pits are sequentially arranged by taking groups as units.
In the pit arrangement process, because there is certain difference in face blade business turn over mouth limit length, the same dimension span to the interval can lead to every walking in the pit array to deviate from the streamline direction, can produce unfavorable interference to the flow in the impeller runner, consequently need carry out the non-dimensionalization with the pit interval, the formula is as follows:
radial spacing dimensionless formula:
Figure BDA0002737709790000051
the axial spacing dimensionless formula:
Figure BDA0002737709790000052
wherein u 'is a radial spacing dimensionless result, v' is an axial spacing dimensionless result, d0Is provided withThe dimensional pit diameter is U, V is a dimensionless parameter of the spacing, a is the dimensional length of the spanwise profile where the flow direction profile in the middle of the blade is located, and b is the dimensional length of the spanwise profile where the first row of pits is located.
As shown in fig. 3, a blade is a centrifugal pump bionic twisted blade, pits are arranged on the centrifugal pump bionic twisted blade, and the pits are arranged according to the arrangement method of the centrifugal pump bionic twisted blade pits for noise reduction.
The specific embodiment is as follows:
UG is utilized to establish a three-dimensional model of the smooth vane pump, and the impeller water body of the smooth vane pump is shown in figure 4. And the obtained product is used as a research object. The operating parameters of the centrifugal pump under the design working condition are as follows: flow rate Qd=40m3H, lift Hd8m, 1450r/min, ns117.3. The main parameters of the centrifugal pump are as follows: impeller inlet diameter D190mm, impeller exit diameter D2170mm, blade exit width b213.1mm blade wrap angle
Figure BDA0002737709790000053
The number of blades z is 6; base circle diameter D of volute3180mm, volute inlet width b332mm, volute outlet diameter D4=80mm。
In this embodiment, the bionic twisted blade pit arrangement of the centrifugal pump is designed by the following steps:
1) selecting a bionic prototype;
2) determining a bionic region;
3) determining the diameter and the distance of the bionic pits;
4) determining a bionic pit arrangement mode;
5) and arranging bionic pits.
In this embodiment, specifically, dung beetle is selected as the bionic prototype.
In the embodiment, the starting position of the bionic pit is arranged at the outlet position of the working surface of the blade, and the ending position of the bionic pit is arranged in the region of the fluid separation line of the smooth blade. The smooth vane pump is subjected to flow field analysis in CFD-Post processing software to obtain separation points of fluid on the surface of the vane, the separation points are used as base points, separation lines are formed by extending in the spanwise direction of the working surface of the vane, and the flow field analysis result is shown in figure 5. The fluid separation on the working surface of the blade is carried out, and a fluid separation line is formed by spreading the blade in a spanwise direction from the position where the fluid starts to separate.
In the embodiment, the value of the pit diameter is measured on the bionic organism structure based on the bionics thought, and the value range of the pit on the dung beetle surface is converted into the value range corresponding to the bionic structure by taking the ratio of the selected dung beetle body surface area to the smooth blade working surface area as a reference. Specifically, the surface area of the selected dung beetle body in the embodiment is 135mm2The diameter range of the dung beetle surface pits is 0.06-0.12mm, and the distance range of the dung beetle surface pits is 0.11-0.26 mm. And the working surface area of the built smooth blade is 2542mm2. A reference ratio of selected dung beetle body surface area to smooth blade working surface area of 18.8 was obtained. Therefore, the diameter range of the bionic pits is 1.10-2.20mm, and the distance range of the bionic pits is 2.07-4.89 mm. The bionic region is divided into three groups according to the flow field change of the bionic region, and the three groups of pits comprise a first group of pits 4, a second group of pits 5 and a third group of pits 6, as shown in fig. 3. Through measurement calculation, the average value of the spanwise widths of the three groups of blades in the example is respectively
Figure BDA0002737709790000061
Thus the three sets of pits in this example are of respective diameters: d1=1.5mm,d2=1.8mm,d32.2 mm. Dimensionless number taking of lateral and longitudinal spacing of pits
Figure BDA0002737709790000062
u is the transverse pitch and v is the longitudinal pitch, from which the diameter d can be obtained1The transverse spacing and the longitudinal spacing of the 1.5mm pit group are both 2.625 mm; diameter d2The transverse spacing and the longitudinal spacing of the pit group of 1.8mm are both 3.15 mm; diameter d3The transverse spacing and the longitudinal spacing of the 2.2mm pocket set were both 3.85 mm.
In the embodiment, a bionic pit structure arrangement method suitable for being distorted on a distorted blade is used by referring to the earth longitude and latitude division method. The method mainly comprises the following two steps:
(1) the surface of the blade is unfolded into a two-dimensional plane, and the coordinate axis is converted from an X/y axis to an X along the flow directioncAxis and Y extending upwardscAxis, thus can be dotted at Xc/YcProjection on axis (X)c0,Yc0) To indicate the position of any point on the blade surface. The points passing through the surface of the blade thus correspond to X respectivelyc=Xc0And Yc=Yc0Two are approximated by the blade profile. Thereby establishing X on the curved surfacec/YcA coordinate system as shown in fig. 2.
(2) The bionic pits are arranged in a rectangular array, and the pits are sequentially arranged by taking groups as units according to the pit spacing requirement.
Preferably, step (1) is performed to express X of a certain point coordinatec0And Yc0Is a dimensionless parameter with a value range of [0, 1%]Representing the bionic region position.
Preferably, a point (X) is assumedc0,Yc0) The flow direction profile X of the bladec=Xc0Has a length of a0Spanwise line Yc=Yc0Length b0Thus, the assumed point divides the bionic region into X along the flow directionc0a0And (1-X)c0)a0Dividing the profile line into Yc0b0And (1-Y)c0)b0And thereby determine the location of the point in the software.
Preferably, in step (2), the number of pits per column in each group is arranged as large as possible. The span direction of the bionic pit is along the middle profile line of the blade, namely curve YcThe pits are symmetrically arranged about 0.5, and the distance between the two groups of pits is determined by the span-wise distance of the rear group.
In this embodiment, in the pit arrangement process, because there is a certain difference in the lengths of the inlet and outlet edges of the face blades, the same dimensional span-wise distance may cause each walking direction in the pit array to deviate from the streamline direction, and may generate adverse interference on the flow in the impeller flow channel, so that the pit distance needs to be dimensionless, and the calculation formula is as follows:
radial spacing dimensionless formula:
Figure BDA0002737709790000071
the axial spacing dimensionless formula:
Figure BDA0002737709790000072
in the above formula:
u 'and v' are dimensionless results
d0Is a dimensional pit diameter;
u, V is a dimensionless parameter of spacing;
a. and b is the dimension length of the flow direction molded line in the middle of the blade and the span-wise molded line where the first row of pits are located respectively.
The diameters of the three groups of pits in this example are: d1=1.5mm,d2=1.8mm,d32.2 mm. Dimensionless number taking of lateral and longitudinal spacing of pits
Figure BDA0002737709790000073
The flow direction molded line a in the middle of the blade is 58.5mm, and the dimension length b of the spanwise molded line where the first row of pits are located is 13.3 mm. Calculating to obtain:
the first set of interval dimensionless results:
transverse:
Figure BDA0002737709790000074
longitudinal direction:
Figure BDA0002737709790000075
the second set of interval dimensionless results:
transverse:
Figure BDA0002737709790000076
longitudinal direction:
Figure BDA0002737709790000077
the third group of interval dimensionless results:
transverse:
Figure BDA0002737709790000081
longitudinal direction:
Figure BDA0002737709790000082
in this embodiment, the bionic blade is as shown in fig. 6.
In order to research the noise reduction effect of the designed pit bionic blade, the invention creates a bionic blade pump three-dimensional model based on the created original smooth blade experimental pump, as shown in fig. 7. Basic parameters of the bionic vane pump are the same as those of the smooth vane pump, and a CFD software and a Virtual-Lab software are adopted to perform a simulation experiment to obtain a comparison graph of the amplitude and frequency of the sound pressure level before and after the bionic vane pump is simulated, as shown in FIG. 8. As can be seen from the figure, compared with a smooth blade, the noise of the model is obviously reduced after the bionic structure is adopted. And with the improvement of the frequency, the noise reduction effect is more obvious, and the maximum noise reduction value is about 26 dB.
It should be understood that although the present description has been described in terms of various embodiments, not every embodiment includes only a single embodiment, and such description is for clarity purposes only, and those skilled in the art will recognize that the embodiments described herein may be combined as suitable to form other embodiments, as will be appreciated by those skilled in the art.
The above-listed detailed description is only a specific description of a possible embodiment of the present invention, and they are not intended to limit the scope of the present invention, and equivalent embodiments or modifications made without departing from the technical spirit of the present invention should be included in the scope of the present invention.

Claims (9)

1.一种用于降噪的离心泵仿生扭曲叶片凹坑布置方法,其特征在于,包括以下步骤:1. a centrifugal pump bionic twisted blade pit arrangement method for noise reduction, is characterized in that, comprises the following steps: 选择仿生原型;Choose a bionic prototype; 确定仿生区域:将仿生凹坑的起始位置布置在叶片工作面出口,仿生凹坑的终止位置布置在光滑叶片的流体分离线区域;Determine the bionic area: the starting position of the bionic pit is arranged at the outlet of the blade working surface, and the end position of the bionic pit is arranged in the fluid separation line area of the smooth blade; 确定仿生凹坑的直径和间距:通过选取的仿生体表面面积与仿生叶片仿生区域的面积的比值作为参照,确定仿生凹坑直径、间距范围,再确定凹坑直径、凹坑间距的具体数值,所述凹坑直径、凹坑间距的具体数值的确定具体为:Determine the diameter and spacing of the bionic pits: The ratio of the surface area of the bionic body to the bionic area of the bionic blade is used as a reference to determine the diameter and spacing of the bionic pits, and then determine the specific values of the pit diameter and pit spacing. The specific numerical values of the pit diameter and pit spacing are determined as follows: 仿生凹坑结构在流向上均分为n组,同组内的变量值保持相同,每组凹坑直径沿叶片出口到叶片流体分离线分别为d1,d2,d3…dn,d1<d2<d3…<dn,取每组展向宽度的平均值为
Figure FDA0003287354030000011
凹坑直径由公式
Figure FDA0003287354030000012
确定,并将间距转换为无量纲参数:
Figure FDA0003287354030000013
u为横向间距,v为纵向间距;
The bionic dimple structure is equally divided into n groups in the flow direction, and the variable values in the same group remain the same. The diameter of each group of dimples is d 1 , d 2 , d 3 ... d n , d along the flow separation line from the blade outlet to the blade, respectively. 1 <d 2 <d 3 … <d n , the average value of the spanwise width of each group is taken as
Figure FDA0003287354030000011
The pit diameter is given by the formula
Figure FDA0003287354030000012
OK, and convert the spacing to a dimensionless parameter:
Figure FDA0003287354030000013
u is the horizontal spacing, v is the vertical spacing;
布置仿生凹坑:确定仿生凹坑布置方式,采用矩形顺排阵列布置,将凹坑以组为单位依次布置。Arrange the bionic pits: Determine the layout of the bionic pits, adopt a rectangular array arrangement, and arrange the pits sequentially in groups.
2.根据权利要求1所述的用于降噪的离心泵仿生扭曲叶片凹坑布置方法,其特征在于,所述选择仿生原型步骤中,选用体表带有凹坑结构的蜣螂作为仿生原型。2. The method for arranging the bionic twisted blade pits of a centrifugal pump for noise reduction according to claim 1, wherein in the step of selecting a bionic prototype, a dung beetle with a pit structure on the body surface is selected as the bionic prototype . 3.根据权利要求1所述的用于降噪的离心泵仿生扭曲叶片凹坑布置方法,其特征在于,所述确定仿生区域步骤中,所述分离线为叶片流体的分离点作为基点沿叶片工作面展向延伸形成的。3 . The method for arranging the bionic twisted blades of a centrifugal pump for noise reduction according to claim 1 , wherein, in the step of determining the bionic area, the separation line is the separation point of the blade fluid as a base point along the blade. 4 . The working surface is formed by the extension of the working surface. 4.根据权利要求1所述的用于降噪的离心泵仿生扭曲叶片凹坑布置方法,其特征在于,所述无量纲参数:
Figure FDA0003287354030000014
4. The method for arranging the bionic twisted blades of a centrifugal pump for noise reduction according to claim 1, wherein the dimensionless parameters:
Figure FDA0003287354030000014
5.根据权利要求1所述的用于降噪的离心泵仿生扭曲叶片凹坑布置方法,其特征在于,所述布置仿生凹坑的步骤中,确定仿生凹坑布置方式具体为:5. The method for arranging the bionic twisted blade pits of a centrifugal pump for noise reduction according to claim 1, wherein in the step of arranging the bionic pits, it is determined that the bionic pit arrangement is specifically: (1)将叶片表面展开为二维平面,坐标轴由x/y轴转换为沿流向的Xc轴与其展向上的Yc轴,用点在Xc/Yc轴上的投影(Xc0,Yc0)来表示叶片表面任意点的位置;因此经过叶片表面的点分别对应了Xc=Xc0及Yc=Yc0两条近似为叶片型线,由此建立曲面上Xc/Yc坐标系;(1) Expand the blade surface into a two-dimensional plane, and the coordinate axis is converted from the x/y axis to the X c axis along the flow direction and the Y c axis in the span, using the projection of the point on the X c /Y c axis (X c0 , Y c0 ) to represent the position of any point on the blade surface; therefore, the points passing through the blade surface correspond to two approximate blade profiles X c =X c0 and Y c =Y c0 , thus establishing X c /Y on the surface c coordinate system; (2)仿生凹坑的布置采用矩形顺排阵列布置,根据凹坑间距要求,将凹坑以组为单位依次布置。(2) The arrangement of the bionic pits adopts a rectangular array arrangement, and according to the requirements of the pit spacing, the pits are arranged sequentially in groups. 6.根据权利要求5所述的用于降噪的离心泵仿生扭曲叶片凹坑布置方法,其特征在于,6. The method for arranging the bionic twisted blade pits of a centrifugal pump for noise reduction according to claim 5, wherein, 所述步骤(1)中Xc0与Yc0为无量纲参数,取值范围为[0,1],代表仿生区域位置;假设点(Xc0,Yc0)所在叶片流向型线Xc=Xc0的长度为a0,展向型线Yc=Yc0长度为b0,因此假设的点将仿生区域沿流向分为Xc0a0与(1-Xc0)a0,将所在展向型线分割为Yc0b0和(1-Yc0)b0并以此确定点的位置。In the step (1), X c0 and Y c0 are dimensionless parameters, and the value range is [0, 1], representing the position of the bionic area; it is assumed that the blade flow profile line X c =X where the point (X c0 , Y c0 ) is located The length of c0 is a 0 , and the spanwise profile line Y c =Y c0 has length b 0 , so the hypothetical point divides the bionic area into X c0 a 0 and (1-X c0 )a 0 along the flow direction, and divides the The profile line is divided into Y c0 b 0 and (1-Y c0 )b 0 and the position of the point is determined accordingly. 7.根据权利要求5所述的用于降噪的离心泵仿生扭曲叶片凹坑布置方法,其特征在于,所述步骤(2)中仿生凹坑的展向沿叶片中间型线对称排布,相邻两组凹坑之间的凹坑间距由后组的展向间距确定。7 . The method for arranging the bionic twisted blade pits of a centrifugal pump for noise reduction according to claim 5 , wherein in the step (2), the span direction of the bionic pits is symmetrically arranged along the midline of the blade, 8 . The pit spacing between adjacent two groups of pits is determined by the spanwise spacing of the latter group. 8.根据权利要求5所述的用于降噪的离心泵仿生扭曲叶片凹坑布置方法,其特征在于,所述步骤(2)在凹坑布置过程中,将凹坑间距进行无量纲化,公式如下:8 . The method for arranging the bionic twisted blades of a centrifugal pump for noise reduction according to claim 5 , wherein in the step (2), in the process of arranging the dimples, the dimple spacing is dimensionless, 9 . The formula is as follows: 径向间距无量纲化公式:The dimensionless formula of radial spacing:
Figure FDA0003287354030000021
Figure FDA0003287354030000021
轴向间距无量纲化公式:Axial distance dimensionless formula:
Figure FDA0003287354030000022
Figure FDA0003287354030000022
其中,u’为径向间距无量纲化结果、v’为轴向间距无量纲化结果,d0为有量纲的凹坑直径,U、V为间距的无量纲参数,a为叶片中间的流向型线所在展向型线的有量纲长度,b为首列凹坑所在展向型线的有量纲长度。Among them, u' is the dimensionless result of the radial spacing, v' is the dimensionless result of the axial spacing, d 0 is the dimensioned pit diameter, U and V are the dimensionless parameters of the spacing, and a is the middle of the blade. The dimensioned length of the spanwise profile line where the flow profile line is located, and b is the dimensioned length of the spanwise profile line where the first row of pits is located.
9.一种叶片,其特征在于,所述叶片为离心泵仿生扭曲叶片,所述离心泵仿生扭曲叶片上布置有凹坑,所述凹坑根据权利要求1-8任意一项所述用于降噪的离心泵仿生扭曲叶片凹坑布置方法布置。9 . A blade, characterized in that the blade is a bionic twisted blade of a centrifugal pump, and a dimple is arranged on the bionic twisted blade of a centrifugal pump, and the dimple is used according to any one of claims 1-8. The method for arranging the pits of the bionic twisted blades of the centrifugal pump with noise reduction.
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