CN112861200A - Tube group arrangement method for middle-deep coaxial sleeve type heat exchanger - Google Patents

Tube group arrangement method for middle-deep coaxial sleeve type heat exchanger Download PDF

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CN112861200A
CN112861200A CN202110076113.XA CN202110076113A CN112861200A CN 112861200 A CN112861200 A CN 112861200A CN 202110076113 A CN202110076113 A CN 202110076113A CN 112861200 A CN112861200 A CN 112861200A
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deep
heat exchanger
heat exchangers
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CN112861200B (en
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王沣浩
姜静华
张育平
刘俊
蔡皖龙
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Shaanxi Coal Geology Group Co ltd
Xian Jiaotong University
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Xian Jiaotong University
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    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F24HEATING; RANGES; VENTILATING
    • F24DDOMESTIC- OR SPACE-HEATING SYSTEMS, e.g. CENTRAL HEATING SYSTEMS; DOMESTIC HOT-WATER SUPPLY SYSTEMS; ELEMENTS OR COMPONENTS THEREFOR
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    • F24D15/04Other domestic- or space-heating systems using heat pumps
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F24HEATING; RANGES; VENTILATING
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F24HEATING; RANGES; VENTILATING
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Abstract

The application discloses a tube group arrangement method of a middle-deep coaxial double-tube heat exchanger, and relates to the technical field of coaxial double-tube heat exchangers. On the premise of avoiding mutual heat influence between the ground heat exchangers, the occupied area of a tube bundle field can be effectively reduced. The heat exchanger tube group arrangement method comprises the following steps: determining the number of the middle-deep coaxial double-pipe heat exchangers; determining a heat affected radius curve; determining an inclination angle according to a heat affected radius curve; one of the heat exchangers is arranged according to the inclination angle and the preset position; judging whether the number of the heat exchangers is equal to 2 or not, if so, setting another heat exchanger according to the inclination angle, and ensuring that the two heat exchangers are symmetrically arranged and the distance between the tops of the two heat exchangers is smaller than the distance between the bottoms of the two heat exchangers; if not, the rest heat exchangers are arranged according to the inclination angle, the plurality of heat exchangers are distributed in an annular array, and the diameter of the circle formed by the connecting lines of the top central points of the plurality of heat exchangers is smaller than that of the circle formed by the connecting lines of the bottom central points.

Description

Tube group arrangement method for middle-deep coaxial sleeve type heat exchanger
Technical Field
The application relates to the technical field of heat exchangers, in particular to a method for arranging a pipe group of a middle-deep coaxial double-pipe heat exchanger.
Background
With the increasingly prominent energy problem, the utilization of clean energy is more and more emphasized by people. The intermediate-deep geothermal energy is now widely used as a clean and sustainable energy source. At present, people mostly extract the geothermal energy of the middle and deep layers by drilling and placing a closed metal sleeve heat exchanger. In engineering practice, the heat exchange amount of a single well cannot meet the load of a building, so that the building is often heated in a pipe group mode.
Most of the existing middle-deep coaxial sleeve type heat exchangers are arranged in a straight line shape perpendicular to the ground, and because the heat affected zone of the middle-deep coaxial sleeve type heat exchanger changes along with the radial depth, the deeper the radial depth is, the larger the heat affected radius is in the same operation time, in order to ensure the heat extraction efficiency of the middle-deep geothermal energy, when the heat exchangers are arranged vertically, in order to ensure that the heat exchangers cannot be affected with each other, the heat affected zone external tangent condition at the bottoms of two adjacent middle-deep coaxial sleeve type heat exchangers is generally used as the basis for arrangement. The disadvantage of this arrangement of tube bundles is that it takes up a large area.
Disclosure of Invention
The embodiment of the application provides a method for arranging a pipe group of a middle-deep coaxial double-pipe heat exchanger, which can effectively reduce the occupied area of the pipe group on the premise of avoiding mutual heat influence among the underground pipe heat exchangers.
In order to achieve the above object, an embodiment of the present application provides a method for arranging a tube bundle of a deep coaxial double-tube heat exchanger, including the following steps: determining the number of the middle-deep coaxial double-pipe heat exchangers; determining a heat affected radius curve of the middle-deep coaxial double-pipe heat exchanger; determining the inclination angle of the middle-deep coaxial double-pipe heat exchanger according to the heat affected radius curve; one middle-deep coaxial double-pipe heat exchanger is arranged according to the inclination angle and a preset position; judging whether the number of the middle-deep coaxial double-pipe heat exchangers is equal to 2 or not, if so, setting another middle-deep coaxial double-pipe heat exchanger according to the inclination angle, and ensuring that the two middle-deep coaxial double-pipe heat exchangers are symmetrically arranged and the distance between the tops of the two middle-deep coaxial double-pipe heat exchangers is smaller than the distance between the bottoms of the two middle-deep coaxial double-pipe heat exchangers; if not, the rest middle-deep coaxial sleeve type heat exchangers are arranged according to the inclination angle, the middle-deep coaxial sleeve type heat exchangers are distributed in an annular array mode, and the diameter of the circle formed by the connecting lines of the top center points of the middle-deep coaxial sleeve type heat exchangers is smaller than the diameter of the circle formed by the connecting lines of the bottom center points.
Further, the heat affected zones at the bottoms of two adjacent middle-deep coaxial double pipe heat exchangers form a tangent circle.
Further, the step of determining the number of the deep layer coaxial double pipe heat exchangers includes the steps of: determining the thermophysical parameters of the middle-deep coaxial double-pipe heat exchanger, the thermophysical parameters of rock and soil and the thermal load of a building; and calculating the number of the middle-deep coaxial double-pipe heat exchangers according to the thermophysical parameters of the middle-deep coaxial double-pipe heat exchangers, the thermophysical parameters of rock and soil and the building thermal load.
Further, the step of determining a heat-affected radius curve of the deep coaxial double pipe heat exchanger comprises the steps of: dividing a control body of the middle-deep layer coaxial sleeve type heat exchanger; discrete iteration is carried out on the rock-soil energy equation of each control body through a finite volume method, and rock-soil temperatures at different moments are obtained; and obtaining a heat-affected radius curve through an empirical correlation of the drilling wall temperature and the rock-soil temperature of the deep-layer coaxial sleeve type heat exchanger.
Further, the step of determining the inclination angle of the deep layer coaxial double pipe heat exchanger according to the heat affected radius curve comprises the steps of: respectively determining the heat affected radius of the bottom surface of the heat exchanger and the heat affected radius of the top end of the heat exchanger according to the heat affected radius curve; let the heat-affected radius of the bottom surface of the heat exchanger be R1The heat influence radius at the top end of the heat exchanger is R2Wherein R is1And R2Are all larger than zero; calculating an inclination angle theta through a formula (1);
Figure BDA0002907538280000021
further, the dividing of the control body for the middle-deep layer coaxial double-pipe heat exchanger specifically comprises the following steps: and assuming the heat exchange of the fluid in the middle-deep coaxial double-pipe heat exchanger as a one-dimensional heat exchange problem, dividing the control body along the flow direction of the fluid, and determining the length of the control body.
Further, the step of obtaining rock-soil temperature values at different moments by performing discrete iteration on the rock-soil energy equation of each control body through a finite volume method comprises the following steps: respectively dividing control bodies of the rock-soil body along the determined cylindrical coordinate system direction; determining initial conditions and boundary conditions of a rock-soil heat exchange area; endowing the initial conditions and the boundary conditions of the rock-soil heat exchange area to the divided control bodies; and simultaneously solving an energy equation of the control body based on the Thomas algorithm to obtain rock and soil temperatures at different moments.
Further, the step of obtaining the heat-affected radius curve through the empirical correlation of the borehole wall temperature and the rock-soil temperature of the deep-layer coaxial double pipe heat exchanger comprises the following steps: according to the temperature of the drilling wall and the temperature of rock soil at different depths, the heat affected radius at different depths is obtained through the formula (2):
Figure BDA0002907538280000031
wherein T is the temperature of rock soil, TThe remote rock-soil temperature is the same as the initial rock-soil temperature in terms of value; t isbIs the temperature of the outer edge of the hot well; h is the surface convection heat transfer coefficient; lambda is the heat conductivity coefficient of rock soil; erfc (x) ═ 1-erf (x) is an error function, x is the position coordinate of a calculation point, alpha is a thermal diffusion coefficient, and t is an operation time; and fitting a function of the heat affected radius changing along with the depth based on the corresponding heat affected radius values at different depths to obtain the heat affected radius curve.
Compared with the prior art, the application has the following beneficial effects:
1. the heat exchangers are arranged obliquely to the ground and are symmetrically arranged or distributed in an annular array, the distance between the tops of the two middle-deep layer coaxial sleeve type heat exchangers is smaller than the distance between the bottoms when the heat exchangers are symmetrically arranged, and the diameter of a circle formed by connecting the central points of the tops of the multiple middle-deep layer coaxial sleeve type heat exchangers when the heat exchangers are distributed in the annular array is smaller than the diameter of a circle formed by connecting the central points of the bottoms; compared with the mode that the tube bundle is perpendicular to the ground and arranged in a straight line shape in the prior art, the heat exchanger not only can effectively reduce the occupied area of a tube bundle field, but also can effectively extract heat from the geothermal energy in the middle and deep layers, and avoids mutual heat influence among the ground heat exchangers.
Drawings
In order to more clearly illustrate the embodiments of the present application or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present application, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a view showing a structure of a middle-deep coaxial double pipe heat exchanger;
fig. 2 is a schematic diagram of a middle-deep ground source heat pump system;
fig. 3 is a flow chart of a method for arranging deep coaxial double pipe heat exchanger tube groups according to an embodiment of the present application;
FIG. 4 is a schematic view of a tube bundle from one perspective in an embodiment of the present application;
FIG. 5 is a schematic view of another perspective of a tube bundle in an embodiment of the present application;
FIG. 6 is a schematic view of another perspective of a tube bundle in an embodiment of the present application;
FIG. 7 is an analysis graph of a prior art tube bank having six heat exchangers;
FIG. 8 is an analysis of a tube bank having six heat exchangers according to an embodiment of the present disclosure;
FIG. 9 is an analysis graph of a prior art tube bundle having four heat exchangers;
fig. 10 is an analysis diagram of the case where the number of heat exchangers in the tube bundle is four according to an embodiment of the present application.
In the figure, 1-a middle-deep layer coaxial double-pipe heat exchanger, 11-an outer pipe, 12-an annular cavity, 13-an inner pipe, 2-a heat pump unit and 3-a user.
Detailed Description
The technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are only a part of the embodiments of the present application, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present application.
In the description of the present application, it is to be understood that the terms "center", "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", and the like indicate orientations or positional relationships based on those shown in the drawings, and are only for convenience in describing the present application and simplifying the description, but do not indicate or imply that the referred device or element must have a particular orientation, be constructed in a particular orientation, and be operated, and thus should not be construed as limiting the present application.
In the description of the present application, it is to be noted that, unless otherwise explicitly specified or limited, the terms "mounted," "connected," and "connected" are to be construed broadly, e.g., as meaning either a fixed connection, a removable connection, or an integral connection; the specific meaning of the above terms in the present application can be understood in a specific case by those of ordinary skill in the art.
The terms "first", "second" and "first" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defined as "first" or "second" may explicitly or implicitly include one or more of that feature. In the description of the present application, "a plurality" means two or more unless otherwise specified.
Referring to fig. 1 and 2, the mid-depth coaxial double pipe heat exchanger 1 includes an outer pipe 11 and an inner pipe 13, and an annular chamber 12 is formed between the outer pipe 11 and the inner pipe 13. In the heating mode, fluid enters from the annular cavity 12, and because the temperature of the fluid is lower than the temperature of surrounding rock soil, heat is transferred to the fluid in the annular cavity 12 from the rock soil, and the fluid is continuously heated in the flowing process, so that the purpose of extracting heat is achieved. When the fluid reaches the bottom of the annular cavity 12, the fluid flows to the ground surface heat pump unit 2 through the inner pipe 13, and heat is released into the building through the hydraulic transmission and distribution system to be used by a user 3. The fluid which has released heat in the building is pumped into the annular cavity 12 of the buried pipe heat exchanger 1 in the middle deep layer by a water pump, and a new heat extraction and release stage is started.
Because heat in high-temperature rock soil is continuously extracted, the temperature of rock soil around the heat exchanger tends to decrease before being extracted, and the longer the heat extraction time is, the greater the rock soil range in which temperature fluctuation occurs. The area where the temperature of rock soil around the heat exchanger drops is a heat affected area.
The heat affected zone of the deep coaxial double pipe heat exchanger changes along with the radial depth and the running time, and the heat affected radius is used as a parameter for measuring the heat affected action. The longer the running time is, the larger the heat affected radius at each position in the radial direction is; the heat affected radius increases as the radial depth increases along the z-axis during the same operating time. Because the geothermal energy of middle and deep layer has ground temperature gradient, consequently along with the increase of degree of depth, the corresponding also can improve of ground temperature, and the fluid when the ring chamber region flows, with ground temperature difference grow, the drive power grow of heat extraction for the heat of extracting becomes more, and corresponding heat affected zone also can increase. The magnitude of the thermal influence is the thermal influence radius, the top of the middle-deep layer coaxial double pipe heat exchanger is the position with the smallest thermal influence radius, and the bottom of the middle-deep layer coaxial double pipe heat exchanger is the position with the largest thermal influence radius.
In the tube bundle mode, if the distance between two adjacent middle-deep coaxial double-tube heat exchangers is less than two times of the maximum heat-affected radius, the two adjacent middle-deep coaxial double-tube heat exchangers can be influenced mutually, so that the overall heat extraction capacity is reduced, and if the distance between the two middle-deep coaxial double-tube heat exchangers is equal to two times of the maximum heat-affected radius, a larger field area can be occupied.
In order to avoid mutual influence among the middle-deep coaxial double-pipe heat exchangers and reduce the occupied area of a pipe group field, referring to fig. 1, the embodiment of the application provides a method for arranging the pipe group of the middle-deep coaxial double-pipe heat exchangers. According to the critical condition, the middle-deep coaxial double-pipe heat exchanger in the pipe group mode is arranged, so that the efficient and stable operation of the whole pipe group is guaranteed, the heat exchanger is prevented from being subjected to thermal interference mutually, meanwhile, through the inclined heat exchanger, the influence area at the top of the heat exchanger is projected downwards along the z-axis direction and is just internally tangent to the influence area at the bottom of the heat exchanger, and the occupied area of the middle-deep coaxial double-pipe heat exchanger pipe group is smaller.
Referring to fig. 3, a method for arranging a tube bundle of a deep coaxial double-tube heat exchanger according to an embodiment of the present application includes the following steps:
s1, determining the number of the middle-deep coaxial double-pipe heat exchangers; specifically, the method comprises the following steps:
firstly, determining the heat load of a building, the tube well parameters (including the tube well specification and the thermal physical parameters of a tube) and the geological parameters (including the geothermal field distribution and the thermal physical parameters of rock and soil) of a middle-deep layer coaxial double-tube heat exchanger. Wherein, the geological parameters are determined by looking up related geological data; the pipe well parameters of the middle-deep coaxial double pipe heat exchanger are determined by standard series and pipes, and the pipe well specification parameters of the middle-deep coaxial double pipe heat exchanger comprise length, inner pipe diameter and outer pipe diameter. The thermal physical parameters of the pipe comprise the density, the heat conductivity coefficient, the specific heat capacity and the like of the inner pipe and the outer pipe.
And calculating the number of the middle-deep coaxial double-pipe heat exchangers according to the pipe well parameters, the geological parameters and the building heat load of the middle-deep coaxial double-pipe heat exchangers.
S2, determining a heat-affected radius curve of the middle-deep coaxial double-pipe heat exchanger; specifically, the method comprises the following steps: based on the axial symmetry of the coaxial double-pipe heat exchanger, the flowing heat exchange in the heat exchanger is simplified into a one-dimensional heat exchange model;
because the pipe group is obliquely arranged, rock and soil around the middle-deep layer coaxial double-pipe heat exchanger cannot be simplified into a two-dimensional structure, and therefore the heat exchanger and a surrounding rock and soil model are calculated by adopting a three-dimensional model in the patent.
The energy equation of the tube fluid in the heat exchanger is as follows:
Figure BDA0002907538280000061
wherein, TrIs the temperature of the fluid in the inner tube; vrIs the fluid flow rate in the inner tube; krThe heat transfer coefficient between the inner tube fluid and the annular cavity fluid; t isRIs the temperature of the fluid in the annulus; rhofIs the fluid density; a. therIs the cross-sectional area of the inner tube; c. CpfIs the specific heat capacity of the fluid; t is time.
The energy equation of the heat exchanger ring cavity fluid is as follows:
Figure BDA0002907538280000071
wherein, VRThe flow rate of the fluid in the annular cavity; kRThe heat transfer coefficient between the annular cavity fluid and the grouting fluid is shown; t isgIs the borehole wall temperature; a. theRIs a ring cavity crossCross-sectional area.
The energy equation of rock soil is as follows:
Figure BDA0002907538280000072
ρsdensity of rock soil; c. CpsThe specific heat capacity of rock soil; t issIs the temperature of the rock-soil, lambdasThe thermal conductivity of rock soil, and r is the radius of the inner pipe.
And dividing the control bodies by the fluid in the middle-deep coaxial sleeve type heat exchanger along the flowing direction, and dividing the control bodies by the rock soil along the setting direction of the cylindrical coordinate system. By setting initial conditions and boundary conditions for the rock-soil area and adopting the Thomas algorithm to simultaneously solve the energy equations of all the control bodies, the temperature of the drilling wall and the rock-soil temperature value at different moments can be obtained.
According to the temperature of the well drilling wall and the temperature value of rock soil, the corresponding heat affected radii at different depths are obtained through a formula (2), and a function relation between the depth and the heat affected radii is determined by a fitting method, so that a heat affected radius curve is drawn.
Figure BDA0002907538280000073
Wherein T is the temperature of rock soil, TThe remote rock-soil temperature is the same as the initial rock-soil temperature in terms of value; t isbIs the temperature of the outer edge of the hot well; h is the surface convection heat transfer coefficient; lambda is the heat conductivity coefficient of rock soil; erfc (x) ═ 1-erf (x) is the error function, x is the position coordinate of the calculation point, α is the thermal diffusion coefficient, and t is the running time. Wherein the content of the first and second substances,
Figure BDA0002907538280000074
s3, determining the inclination angle of the middle-deep layer coaxial double-pipe heat exchanger according to the heat-affected radius curve; specifically, the method comprises the following steps:
referring to fig. 8, the heat-affected radii of the bottom surfaces of the heat exchangers are determined based on the heat-affected radius curvesThe heat affected radius of the top end of the heat exchanger; let the heat-affected radius of the bottom surface of the heat exchanger be R1The heat influence radius at the top end of the heat exchanger is R2Wherein R is1And R2Are all larger than zero;
calculating an inclination angle theta through a formula (1);
Figure BDA0002907538280000081
s4, setting one of the middle-deep coaxial double-pipe heat exchangers according to the inclination angle and the preset position; specifically, the method comprises the following steps:
diameter r of outer pipe of coaxial double-pipe heat exchanger in middle-deep layer2And drilling according to the inclination angle by randomly selecting a first drilling point for drilling diameter parameters, and arranging one middle-deep layer coaxial double-pipe heat exchanger.
S5, judging whether the number of the middle-deep coaxial double pipe heat exchangers is equal to 2, if so, setting another middle-deep coaxial double pipe heat exchanger according to the inclination angle, and ensuring that the two middle-deep coaxial double pipe heat exchangers are symmetrically arranged and the distance between the tops of the two middle-deep coaxial double pipe heat exchangers is smaller than the distance between the bottoms of the two middle-deep coaxial double pipe heat exchangers; if not, setting the rest middle-deep coaxial double pipe heat exchangers according to the inclination angle, wherein the plurality of middle-deep coaxial double pipe heat exchangers are distributed in an annular array, and the diameter of a circle formed by the connecting lines of the top center points of the plurality of middle-deep coaxial double pipe heat exchangers is smaller than the diameter of a circle formed by the connecting lines of the bottom center points; specifically, the method comprises the following steps:
in the tube bundle mode, the number of the middle-deep coaxial double-pipe heat exchangers is more than or equal to 2, and when the number of the middle-deep coaxial double-pipe heat exchangers is equal to 2, the distance from the first drilling point is 2R2The second drilling point is selected, drilling is carried out according to the inclination angle, the heat exchangers are arranged, the inclination direction is that the two middle-deep coaxial double pipe heat exchangers are symmetrically arranged, the distance between the tops of the two middle-deep coaxial double pipe heat exchangers is smaller than the distance between the bottoms, namely the upper ends of the heat exchangers are gathered, the lower ends of the heat exchangers are dispersed, and the heat affected zone formed by the bottoms of the two adjacent heat exchangers is ensuredThe circles are tangent.
Referring to fig. 4, 5, 6 and 8, when the number of the middle-deep coaxial double pipe heat exchangers is greater than 2, the case where the number of the middle-deep coaxial double pipe heat exchangers is equal to 6 will be described here. The other 5 drilling points are selected by polar coordinates. Fig. 4, fig. 5, fig. 6 and fig. 8 are only schematic diagrams, and the specific conditions are related to the operation age and the parameters of the geotechnical and deep coaxial double pipe heat exchanger in the engineering practice. It should be noted that, because the heat affected zone of the bottom surfaces of the adjacent middle-deep coaxial double pipe heat exchangers is circumscribed, and the 6 middle-deep coaxial double pipe heat exchangers are arranged in an annular array, the coordinates of the remaining 5 drilling points can be respectively calculated, drilling can be performed at the above positions according to the inclination angles, and it is sufficient to ensure that the diameter of the circle formed by the connecting lines of the top center points of the multiple middle-deep coaxial double pipe heat exchangers is smaller than the diameter of the circle formed by the connecting lines of the bottom center points.
Referring to fig. 7 and 8, the area of the rectangular area in the figure is the floor area of the heat exchanger tube bundle, and the floor area of the heat exchanger tube bundle arranged according to the embodiment of the present invention in fig. 8 is significantly smaller than that of the heat exchanger tube bundle in the prior art. Therefore, the tube group arranged according to the method of the embodiment of the application can effectively reduce the occupied area on the premise of effectively avoiding mutual influence among the heat exchangers.
It should be noted that, when the method of the present application is used for arrangement in the tube bundle mode of the middle-deep coaxial double-tube heat exchanger, the index analysis needs to be performed by using the occupied area. Maximum heat affected radius of R1When the heat exchanger is vertically arranged in the prior pipe group mode, the occupied area is S ', and when the heat exchanger is arranged in the pipe group mode by using the method, the occupied area is represented by S ', and the areas of the heat exchanger and the S ' are compared. When the number of the middle-deep layer coaxial double-pipe heat exchangers is two, S is the time>S', gradually increasing the number of heat exchangers in the tube bundle mode, when S>And S 'arranging the tube groups according to the method of the application, and when the number of the heat exchangers is increased until S is less than or equal to S' at the beginning, the number m of the heat exchangers is the optimal number value under the corresponding operation condition. Taking four heat exchangers as an example, refer toFIGS. 9 and 10, the heat exchangers are arranged in a 2X 2 rectangular pattern with the smallest footprint when arranged vertically in the tube bundle mode, which is 16R1 2(ii) a And the floor space is related to R when the heat exchanger is arranged obliquely2And R1Wherein the respective footprint areas are areas within a rectangular box. It is obvious that the footprint of the inclined arrangement is much smaller than the footprint of the vertical arrangement. For four middle-deep layer coaxial double-pipe heat exchangers, the occupied area can be greatly reduced according to the arrangement method disclosed by the patent. The number of heat exchangers can be gradually increased to five, six, seven, etc., and the optimal number value gradually appears.
In the tube bundle mode, when the number n of the intermediate-depth coaxial double-tube heat exchangers exceeds the optimum number m, a single tube bundle may be treated as a plurality of tube bundles, and the tube bundles may be distributed based on the optimum number m. When a certain building adopts the middle-deep geothermal energy for heating, n middle-deep coaxial sleeve pipe heat exchangers are needed, and the number of pipe groups is as follows:
Figure BDA0002907538280000091
the above is only an embodiment of the present application, but the scope of the present application is not limited thereto, and any changes or substitutions within the technical scope of the present disclosure should be covered by the scope of the present application. Therefore, the protection scope of the present application shall be subject to the protection scope of the claims.

Claims (8)

1. A tube group arrangement method of a middle-deep coaxial double-pipe heat exchanger is characterized by comprising the following steps:
determining the number of the middle-deep coaxial double-pipe heat exchangers;
determining a heat affected radius curve of the middle-deep coaxial double-pipe heat exchanger;
determining the inclination angle of the middle-deep coaxial double-pipe heat exchanger according to the heat affected radius curve;
one middle-deep coaxial double-pipe heat exchanger is arranged according to the inclination angle and a preset position;
judging whether the number of the middle-deep coaxial double-pipe heat exchangers is equal to 2 or not, if so, setting another middle-deep coaxial double-pipe heat exchanger according to the inclination angle, and ensuring that the two middle-deep coaxial double-pipe heat exchangers are symmetrically arranged and the distance between the tops of the two middle-deep coaxial double-pipe heat exchangers is smaller than the distance between the bottoms of the two middle-deep coaxial double-pipe heat exchangers;
if not, the rest middle-deep coaxial sleeve type heat exchangers are arranged according to the inclination angle, the middle-deep coaxial sleeve type heat exchangers are distributed in an annular array mode, and the diameter of the circle formed by the connecting lines of the top center points of the middle-deep coaxial sleeve type heat exchangers is smaller than the diameter of the circle formed by the connecting lines of the bottom center points.
2. The method of arranging a tube bundle of a deep coaxial tube double heat exchanger according to claim 1, wherein the heat affected zones of the bottoms of adjacent two deep coaxial tube double heat exchangers form a circle tangent.
3. The method of arranging a tube bundle of a deep coaxial tube double heat exchanger according to claim 1, wherein the step of determining the number of the deep coaxial tube double heat exchangers comprises the steps of:
determining tube well parameters, geological parameters and building heat load of the middle-deep layer coaxial sleeve type heat exchanger;
and calculating the number of the middle-deep coaxial double pipe heat exchangers according to the pipe well parameters, the geological parameters and the building heat load of the middle-deep coaxial double pipe heat exchangers.
4. The method of tube bundle arrangement of a deep coaxial tube double heat exchanger according to claim 1, wherein the step of determining a heat affected radius curve of the deep coaxial tube double heat exchanger comprises the steps of:
dividing a control body of the middle-deep layer coaxial sleeve type heat exchanger;
discrete iteration is carried out on the rock-soil energy equation of each control body through a finite volume method, and rock-soil temperatures at different moments are obtained;
and obtaining a heat-affected radius curve through an empirical correlation of the drilling wall temperature and the rock-soil temperature of the deep-layer coaxial sleeve type heat exchanger.
5. The method of tube bundle arrangement of a deep coaxial tube double heat exchanger according to claim 1, wherein the step of determining the inclination angle of the deep coaxial tube double heat exchanger from the heat affected radius curve comprises the steps of:
respectively determining the heat affected radius of the bottom surface of the heat exchanger and the heat affected radius of the top end of the heat exchanger according to the heat affected radius curve; let the heat-affected radius of the bottom surface of the heat exchanger be R1The heat influence radius at the top end of the heat exchanger is R2Wherein R is1And R2Are all larger than zero;
calculating an inclination angle theta through a formula (1);
Figure FDA0002907538270000021
6. the tube bundle arranging method of a deep coaxial tube-in-tube heat exchanger according to claim 4, wherein the dividing of the control body of the deep coaxial tube-in-tube heat exchanger is specifically: and assuming the heat exchange of the fluid in the middle-deep coaxial double-pipe heat exchanger as a one-dimensional heat exchange problem, dividing the control body along the flow direction of the fluid, and determining the length of the control body.
7. The tube bundle arrangement method of the deep coaxial tube-in-tube heat exchanger according to claim 4, wherein the step of obtaining rock-soil temperature values at different moments by discrete iteration of a rock-soil energy equation of each control body through a finite volume method comprises the following steps:
respectively dividing control bodies of the rock-soil body along the determined cylindrical coordinate system direction;
determining initial conditions and boundary conditions of a rock-soil heat exchange area;
endowing the initial conditions and the boundary conditions of the rock-soil heat exchange area to the divided control bodies;
and simultaneously solving an energy equation of the control body based on the Thomas algorithm to obtain rock and soil temperatures at different moments.
8. The method for arranging a tube bundle of a deep coaxial double pipe heat exchanger according to claim 4, wherein the step of obtaining the heat-affected radius curve through the empirical correlation of the borehole wall temperature and the rock-soil temperature of the deep coaxial double pipe heat exchanger comprises the steps of:
according to the temperatures of the drilling wall and the rock soil at different depths, obtaining heat affected radii at different depths through a formula (2);
Figure FDA0002907538270000022
wherein T is the temperature of rock soil, TThe remote rock-soil temperature is the same as the initial rock-soil temperature in terms of value; t isbIs the temperature of the outer edge of the hot well; h is the surface convection heat transfer coefficient; lambda is the heat conductivity coefficient of rock soil; erfc (x) ═ 1-erf (x) is an error function, x is the position coordinate of a calculation point, alpha is a thermal diffusion coefficient, and t is an operation time;
and fitting a function of the heat affected radius changing along with the depth based on the corresponding heat affected radius values at different depths to obtain the heat affected radius curve.
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