CN113486482A - Method for calculating speed and temperature boundary layer of sweepforward spiral tube bundle of liquid lead bismuth - Google Patents

Method for calculating speed and temperature boundary layer of sweepforward spiral tube bundle of liquid lead bismuth Download PDF

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CN113486482A
CN113486482A CN202110784158.2A CN202110784158A CN113486482A CN 113486482 A CN113486482 A CN 113486482A CN 202110784158 A CN202110784158 A CN 202110784158A CN 113486482 A CN113486482 A CN 113486482A
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liquid lead
lead bismuth
temperature
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CN113486482B (en
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王成龙
杨宇鹏
张大林
秋穗正
田文喜
苏光辉
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Xian Jiaotong University
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Abstract

The invention discloses a method for calculating a liquid lead bismuth sweepforward spiral tube bundle speed and temperature boundary layer, which comprises the following steps: 1. establishing a simplified geometric model of a fluid domain of the sweepforward spiral tube bundle of the liquid lead and bismuth; 2. establishing a liquid lead bismuth sweepforward spiral tube beam body area grid model; 3. performing numerical simulation calculation in the flowing heat exchange process of the liquid lead and bismuth; 4. extracting the fluid section speed and temperature field distribution information of the liquid lead-bismuth swept-out spiral tube bundle, and calculating the speed and temperature gradient distribution condition; 5. determining the position of a speed boundary layer and extracting the thickness of the boundary layer; 6. the temperature boundary layer position is determined and the temperature boundary layer thickness is extracted. The method can be applied to the calculation of the speed and temperature boundary layer of the sweepforward spiral tube bundle of the liquid lead bismuth to obtain the distribution of the speed and temperature boundary layer of the inner wall surface of the fluid domain.

Description

Method for calculating speed and temperature boundary layer of sweepforward spiral tube bundle of liquid lead bismuth
Technical Field
The invention belongs to the technical field of methods and particularly relates to a method for calculating a liquid lead bismuth sweepforward spiral tube bundle speed temperature boundary layer.
Background
Compared with common fluids such as water and air, the flowing heat exchange of the liquid metal is greatly different. The reason for the difference is mainly the stronger thermal conductivity of the liquid metal in comparison, which also makes the prandtl number of the liquid metal in the order of 0.01-0.1 (conventional fluid ≈ 1). The molecular prandtl number is commonly used to characterize the ratio of fluid flow to diffusion capacity, i.e., the ratio of the fluid flow boundary layer to the temperature boundary layer. For a conventional fluid, the exploration of the change law of the boundary layer of the liquid metal can help to deeply analyze the change law of the flow heat exchange.
In a common turbulence model, a reynolds-like method is commonly used to simulate the energy exchange in turbulence. The accuracy of the turbulent plandt model will greatly affect the accuracy of the numerical simulation. In the currently common RANS model, the default set turbulence Plantt number is typically 0.85, which has proven its high accuracy in a number of studies for conventional fluids. For liquid metals, this arrangement is no longer suitable, and therefore, many scholars have proposed a corresponding model of the planckian number of turbulence for liquid metal flow.
Therefore, when experimental research is carried out on the flowing heat exchange of the liquid metal, particularly when fluid domains with complex structures such as an sweepforward spiral tube bundle and the like are aimed at, the temperature position of the main flow fluid needs to be determined. The analysis method provided by the invention is helpful for exploring the speed and temperature boundary layer of the liquid metal sweepback spiral tube bundle by using a numerical simulation method, finely describes the real physical process in the speed and temperature boundary layer of the liquid metal, and has important significance for exploring the flow heat transfer rule of the liquid metal sweepback spiral tube bundle.
Disclosure of Invention
The invention provides a method for calculating a liquid lead bismuth sweepback spiral tube bundle speed and temperature boundary layer.
In order to achieve the purpose, the invention adopts the following technical scheme:
a liquid lead bismuth sweepback spiral tube bundle speed temperature boundary layer calculation method aims at the liquid lead bismuth sweepback spiral tube bundle flow and realizes the calculation of a speed temperature boundary layer by a fluid dynamics calculation program;
the method comprises the following steps:
step 1: establishing software SOLIDWORKS by using a geometric model, establishing a simplified model of the calculation domain of the liquid lead bismuth swept-out spiral tube bundle to obtain a fluid domain geometric model of the liquid lead bismuth swept-out spiral tube bundle, selecting a representative calculation unit in consideration of model symmetry, and simplifying the calculation domain of the liquid lead bismuth swept-out spiral tube bundle into a circumferential 1/12 cylindrical sleeve of the liquid lead bismuth swept-out spiral tube bundle;
step 2: performing mesh division on the liquid lead bismuth swept-out spiral tube beam body area on the basis of the liquid lead bismuth swept-out spiral tube bundle fluid area geometric model obtained in the step 1 by using mesh division software ANSYS-ICEM to obtain a liquid lead bismuth swept-out spiral tube beam body area mesh model, wherein the liquid lead bismuth swept-out spiral tube beam body area mesh model comprises boundary layer area meshes and integral meshes;
and step 3: performing numerical simulation calculation on the flowing heat exchange process of the liquid lead bismuth in the liquid lead bismuth sweepforward spiral tube beam body area grid model obtained in the step 2, and specifically comprising the following steps:
step 3-1: setting the boundary of the upper surface of the beam body area grid model of the sweepforward spiral tube of the liquid lead bismuth as an inlet boundary of the liquid lead bismuth, and setting the speed, the temperature and the pressure of the liquid lead bismuth at the inlet position according to actual conditions;
step 3-2: setting the boundary of the lower surface of the beam body area grid model of the sweepforward spiral tube of the liquid lead bismuth as the outlet boundary of the liquid lead bismuth, and setting the pressure of the liquid lead bismuth at the outlet position according to actual conditions;
step 3-3: setting the boundary of the outer surface of the tube bundle of the liquid lead bismuth sweepback spiral tube beam body area grid model as a constant wall temperature boundary, simulating the process of cooling the liquid lead bismuth by the tube bundle, setting the wall surfaces of the inner sleeve and the outer sleeve as heat insulation boundaries, and not exchanging heat between the wall surfaces of the inner sleeve and the outer sleeve and the liquid lead bismuth;
step 3-4: the physical parameters of the liquid lead bismuth obtained by calculation comprise the density of the liquid lead bismuth, the dynamic viscosity of the liquid lead bismuth alloy, the specific heat capacity of the liquid lead bismuth alloy and the dynamic thermal conductivity of the liquid lead bismuth alloy, and the density of the liquid lead bismuth is calculated as follows:
ρLBE=11096-1.3236T (1)
t-temperature of liquid lead bismuth, K
The calculation formula of the specific heat capacity of the liquid lead-bismuth alloy is as follows:
cp,LBE=159-2.72×10-2T+7.12×10-6T2 (2)
the dynamic viscosity of the liquid lead-bismuth alloy is calculated as follows:
Figure BDA0003158110890000031
the calculation formula of the dynamic thermal conductivity of the liquid lead-bismuth alloy is as follows:
λLBE=3.61+1.517×10-2T-1.741×10-6T2 (4)
step 3-5: selecting a turbulent flow Plantt digital model suitable for liquid lead bismuth flow heat exchange simulation, loading the turbulent flow Plantt digital model into computational fluid dynamics software, and correcting the turbulent flow Plantt digital model in the computational fluid dynamics software FLUENT, wherein the selected model is as follows:
Figure BDA0003158110890000041
Prt=4.12Pe≤1000 (6)
Figure BDA0003158110890000042
pe-liquid lead bismuth flow peclet number;
Prt-turbulent prandtl number;
step 3-6: solving the mass, momentum, energy and component transport equation of the liquid lead bismuth to obtain a liquid lead bismuth sweepforward spiral tube bundle calculation domain velocity field and a liquid lead bismuth temperature field;
and 4, step 4: establishing a cross section superposed with the spiral tube bundle by utilizing post-processing software TECPLOT from the calculation result of the speed field and the temperature field of the liquid lead bismuth swept-out spiral tube bundle calculation domain obtained in the step 3, extracting the fluid cross section speed and the temperature field distribution information of the liquid lead bismuth swept-out spiral tube bundle, calculating the fluid cross section speed and the temperature gradient distribution condition of the liquid lead bismuth swept-out spiral tube bundle, and solving the equation of the speed gradient and the temperature gradient;
Figure BDA0003158110890000043
Figure BDA0003158110890000044
u, V, W-x, y, z direction component velocity, m/s;
t-liquid lead bismuth temperature, K;
a-velocity gradient, s-1
b-temperature gradient, K/m;
and 5: calculating the distribution information of the domain speed field according to the liquid lead bismuth sweepback spiral tube bundle obtained in the step 3, calculating the gradient distribution condition of the domain speed according to the liquid lead bismuth sweepback spiral tube bundle, determining the position of a speed boundary layer, and extracting the thickness of the speed boundary layer, wherein the specific steps are as follows:
step 5-1: calculating the distribution information of the domain velocity field according to the liquid lead bismuth sweepback spiral tube bundle obtained in the step 3, determining a velocity boundary layer region, extracting the position information of the velocity boundary layer, and determining the region as the velocity boundary layer region when the local flow velocity of the liquid lead bismuth is less than 99% of the main flow velocity according to the judgment basis:
U=0.99U (10)
U-the main flow velocity of liquid lead bismuth, m/s;
step 5-2: according to the velocity gradient distribution condition of the fluid section of the liquid lead bismuth sweepback spiral tube bundle obtained in the step 4, when the velocity gradient of the liquid lead bismuth is sharply reduced, determining the region as a velocity boundary layer region, comparing the velocity boundary layer region with the velocity boundary layer region determined in the step 5-1, and supplementing the region which is not covered in the step 5-1:
step 5-3: extracting the coordinates of the velocity boundary layer area determined in the step 5-2, and calculating to obtain the thickness of the velocity boundary layer, wherein the calculation formula is as follows:
Figure BDA0003158110890000051
δv-velocity boundary layer thickness, m;
x, y, z-velocity boundary layer boundary coordinates;
step 6: according to the distribution information of the temperature field of the liquid lead bismuth sweepback spiral tube bundle calculation domain obtained in the step 3, the temperature gradient distribution condition of the liquid lead bismuth sweepback spiral tube bundle calculation domain is determined, the position of a temperature boundary layer is determined, and the thickness of the temperature boundary layer is extracted, and the specific steps are as follows:
step 6-1: calculating the distribution information of the domain temperature field according to the liquid lead bismuth sweepforward spiral tube bundle obtained in the step 3, determining the temperature boundary layer area, extracting the position information of the temperature boundary layer, and judging that the fluid is positioned in the temperature boundary layer when the temperature difference between the liquid lead bismuth temperature and the wall surface temperature reaches below 99 percent of the temperature difference between the main flow temperature and the wall surface temperature:
T-Tw=0.99(T-Tw) (12)
T-liquid lead bismuth main stream temperature, K;
Tw-cooling the wall temperature, K;
step 6-2: according to the temperature gradient distribution condition of the fluid section of the liquid lead bismuth sweepback spiral tube bundle obtained in the step 4, when the temperature gradient of the liquid lead bismuth is sharply reduced, determining that the area is a temperature boundary layer area, comparing the temperature boundary layer area with the temperature boundary layer area determined in the step 6-1, and supplementing the area which is not covered in the step 6-1:
step 6-3: extracting the coordinates of the temperature boundary layer area determined in the step 6-2, and calculating to obtain the thickness of the temperature boundary layer, wherein the calculation formula is as follows:
Figure BDA0003158110890000061
δt-temperature boundary layer thickness, m;
x, y, z-velocity boundary layer boundary coordinates;
the invention has the following advantages and beneficial effects:
1. the method provides a liquid metal sweepforward spiral tube bundle speed temperature boundary layer calculation method, the model is independent, the method has strong universality, and the method is suitable for most of the existing fluid dynamics calculation programs;
2. the method can carry out numerical simulation calculation aiming at the liquid metal flow heat transfer boundary layer under the complex structure, and provides method reference for selection of the main flow position in the related experiment.
3. The method is described in detail aiming at liquid lead and bismuth, and can be applied to the exploration of speed and temperature boundary layers of other kinds of liquid metals.
Drawings
FIG. 1 is a flow chart of the method of the present invention.
FIG. 2 is a schematic drawing of a selected cross-section of a boundary layer study.
FIG. 3 is a simplified mesh model of a pressure shell region.
FIG. 4 is a schematic drawing of a selected cross-section of a boundary layer study.
Detailed Description
The invention is described in further detail below with reference to the following figures and detailed description:
the invention provides a method for calculating a speed and temperature boundary layer of a liquid lead bismuth swept-out spiral tube bundle as shown in figure 1, which comprises the following specific steps:
step 1: establishing a simplified model of a liquid lead bismuth swept-out spiral tube bundle calculation domain by using a geometric model establishing software SOLIDWORKS, obtaining a fluid domain geometric model of the liquid lead bismuth swept-out spiral tube bundle, simplifying the calculation region by considering model symmetry and calculation cost, selecting a representative calculation unit, and simplifying the liquid lead bismuth swept-out spiral tube bundle calculation domain into a circumferential 1/12 liquid lead bismuth swept-out spiral tube bundle cylindrical sleeve as shown in FIG. 2;
step 2: applying mesh division software ANSYS-ICEM, on the basis of the liquid lead bismuth sweepout spiral tube bundle fluid domain geometric model obtained in the step 1, carrying out mesh division on the liquid lead bismuth sweepout spiral tube bundle fluid domain to obtain a liquid lead bismuth sweepout spiral tube bundle fluid domain mesh model, wherein the liquid lead bismuth sweepout spiral tube bundle fluid domain mesh model comprises boundary layer area meshes and integral meshes, and the boundary layer meshes are added on the outer side of the spiral tube bundle and the inner wall surface and the outer wall surface of the cylindrical sleeve, as shown in fig. 3;
and step 3: and (3) introducing the liquid lead bismuth sweepout spiral tube beam body area grid model obtained in the step (2) into computational fluid dynamics software ANSYS-FLUENT to perform numerical simulation calculation in the process of liquid lead bismuth flowing heat exchange, and specifically comprising the following steps:
step 3-1: introducing the liquid lead bismuth sweepback spiral tube beam flow body area grid model into computational fluid mechanics software ANSYS-FLUENT, setting the surface boundary of the upper part of the model as the inlet boundary of the liquid lead bismuth, and setting the speed, the temperature and the pressure of the liquid lead bismuth at the inlet position according to actual conditions;
step 3-2: leading the liquid lead bismuth sweepback spiral tube beam flow body area grid model into computational fluid mechanics software ANSYS-FLUENT, setting the lower surface boundary as a liquid lead bismuth outlet boundary, and setting the liquid lead bismuth pressure at the outlet position according to actual conditions;
step 3-3: setting the boundary of the outer surface of the liquid lead bismuth sweepout spiral tube beam flow body area grid model tube bundle as a constant wall temperature boundary in computational fluid dynamics software ANSYS-FLUENT, simulating the process of cooling the liquid lead bismuth by the tube bundle, setting the wall surfaces of the inner sleeve and the outer sleeve as heat insulation boundaries, and not exchanging heat between the wall surface of the inner sleeve and the wall surface of the outer sleeve;
step 3-4: the physical parameters of the liquid lead bismuth obtained by calculation comprise the density of the liquid lead bismuth, the dynamic viscosity of the liquid lead bismuth alloy, the specific heat capacity of the liquid lead bismuth alloy and the dynamic thermal conductivity of the liquid lead bismuth alloy, and the density of the liquid lead bismuth is calculated as follows:
ρLBE=11096-1.3236T (1)
t-temperature of liquid lead bismuth, K
The calculation formula of the specific heat capacity of the liquid lead-bismuth alloy is as follows:
cp,LBE=159-2.72×10-2T+7.12×10-6T2 (2)
the dynamic viscosity of the liquid lead-bismuth alloy is calculated as follows:
Figure BDA0003158110890000091
the calculation formula of the dynamic thermal conductivity of the liquid lead-bismuth alloy is as follows:
λLBE=3.61+1.517×10-2T-1.741×10-6T2 (4)
step 3-5: selecting a turbulent flow Plantt digital model suitable for liquid lead bismuth flow heat exchange simulation, loading the turbulent flow Plantt digital model into computational fluid dynamics software, and correcting the turbulent flow Plantt digital model in the computational fluid dynamics software FLUENT, wherein the selected model is as follows:
Figure BDA0003158110890000092
Prt=4.12Pe≤1000 (6)
Figure BDA0003158110890000093
pe-liquid lead bismuth flow peclet number;
Prt-turbulent prandtl number;
step 3-6: solving the mass, momentum, energy and component transport equation of the liquid lead bismuth to obtain a liquid lead bismuth sweepforward spiral tube bundle calculation domain velocity field and a liquid lead bismuth temperature field;
pe-liquid lead bismuth flow peclet number;
and 4, step 4: establishing a cross section superposed with the spiral tube bundle by utilizing post-processing software TECPLOT from the calculation result of the speed field and the temperature field of the liquid lead bismuth swept-out spiral tube bundle calculation domain obtained in the step 3, as shown in FIG. 4, extracting the information of the fluid cross section speed and the temperature field distribution of the liquid lead bismuth swept-out spiral tube bundle, further calculating the temperature field speed field distribution to obtain the fluid cross section speed and the temperature gradient distribution condition of the liquid lead bismuth swept-out spiral tube bundle, and solving the equation of the speed gradient and the temperature gradient into the equation;
Figure BDA0003158110890000101
Figure BDA0003158110890000102
u, V, W-x, y, z direction component velocity, m/s;
t-liquid lead bismuth temperature, K;
a-velocity gradient, s-1
b-temperature gradient, K/m;
and 5: calculating domain speed field distribution information according to the liquid lead bismuth swept-out spiral tube bundle obtained in the step 3, calculating domain speed gradient distribution conditions according to the liquid lead bismuth swept-out spiral tube bundle, determining the position of a speed boundary layer, acquiring boundary coordinates by using TECPLOT software, and calculating to obtain the thickness of the speed boundary layer, wherein the specific steps are as follows:
step 5-1: calculating the distribution information of the domain velocity field according to the liquid lead bismuth sweepback spiral tube bundle obtained in the step 3, determining a velocity boundary layer region, extracting the position information of the velocity boundary layer, and determining the region as the velocity boundary layer region when the local flow velocity of the liquid lead bismuth is less than 99% of the main flow velocity according to the judgment basis:
U=0.99U (10)
U-the main flow velocity of liquid lead bismuth, m/s;
step 5-2: according to the velocity gradient distribution condition of the fluid section of the liquid lead bismuth sweepback spiral tube bundle obtained in the step 4, when the velocity gradient of the liquid lead bismuth is sharply reduced, determining the region as a velocity boundary layer region, comparing the velocity boundary layer region with the velocity boundary layer region determined in the step 5-1, and supplementing the region which is not covered in the step 5-1:
step 5-3: acquiring the coordinate of the speed boundary layer region determined in the step 5-2 by using TECPLOT software, and calculating to obtain the thickness of the speed boundary layer, wherein the calculation formula is as follows:
Figure BDA0003158110890000111
δv-velocity boundary layer thickness, m;
x, y, z-velocity boundary layer boundary coordinates;
step 6: calculating domain temperature field distribution information according to the liquid lead bismuth outside-swept spiral tube bundle obtained in the step 3, calculating domain temperature gradient distribution conditions according to the liquid lead bismuth outside-swept spiral tube bundle, determining the position of a temperature boundary layer, acquiring boundary coordinates by using TECPLOT software, and extracting the thickness of the temperature boundary layer, wherein the method specifically comprises the following steps:
step 6-1: calculating the distribution information of the domain temperature field according to the liquid lead bismuth sweepforward spiral tube bundle obtained in the step 3, determining the temperature boundary layer area, extracting the position information of the temperature boundary layer, and judging that the fluid is positioned in the temperature boundary layer when the temperature difference between the liquid lead bismuth temperature and the wall surface temperature reaches below 99 percent of the temperature difference between the main flow temperature and the wall surface temperature:
T-Tw=0.99(T-Tw) (12)
T-liquid lead bismuth main stream temperature, K;
Tw-cooling the wall temperature, K;
step 6-2: according to the temperature gradient distribution condition of the fluid section of the liquid lead bismuth sweepback spiral tube bundle obtained in the step 4, when the temperature gradient of the liquid lead bismuth is sharply reduced, determining that the area is a temperature boundary layer area, comparing the temperature boundary layer area with the temperature boundary layer area determined in the step 6-1, and supplementing the area which is not covered in the step 6-1:
step 6-3: acquiring the coordinates of the temperature boundary layer determined in the step 6-2 by using TECPLOT software, and calculating to obtain the thickness of the temperature boundary layer, wherein the calculation formula is as follows:
Figure BDA0003158110890000121
δt-temperature boundary layer thickness, m;
x, y, z-velocity boundary layer boundary coordinates.

Claims (1)

1. A method for calculating the speed and temperature boundary layer of a sweepforward spiral tube bundle of liquid lead and bismuth is characterized by comprising the following steps of: aiming at the flow of the liquid lead bismuth sweepforward spiral tube bundle, the calculation of a speed temperature boundary layer is realized by a fluid dynamics calculation program;
the method comprises the following steps:
step 1: establishing a simplified model of the calculation domain of the liquid lead bismuth swept-out spiral tube bundle by using a geometric model establishing software SOLIDWORKS to obtain a fluid domain geometric model of the liquid lead bismuth swept-out spiral tube bundle, selecting a representative calculation unit in consideration of the model symmetry, and simplifying the calculation domain of the liquid lead bismuth swept-out spiral tube bundle into a circumferential 1/12 cylindrical sleeve of the liquid lead bismuth swept-out spiral tube bundle;
step 2: performing mesh division on the fluid domain of the liquid lead bismuth swept-out spiral tube bundle by using mesh division software ANSYS-ICEM on the basis of the geometric model of the fluid domain of the liquid lead bismuth swept-out spiral tube bundle obtained in the step 1 to obtain a beam fluid body domain mesh model of the liquid lead bismuth swept-out spiral tube bundle, wherein the beam fluid body domain mesh model of the liquid lead bismuth swept-out spiral tube bundle comprises boundary layer area meshes and integral meshes;
and step 3: performing numerical simulation calculation on the flowing heat exchange process of the liquid lead bismuth in the liquid lead bismuth sweepforward spiral tube beam body area grid model obtained in the step 2, and specifically comprising the following steps:
step 3-1: setting the boundary of the upper surface of the beam body area grid model of the sweepforward spiral tube of the liquid lead bismuth as the inlet boundary of the liquid lead bismuth, and setting the speed, the temperature and the pressure of the liquid lead bismuth at the inlet position according to actual conditions;
step 3-2: setting the boundary of the lower surface of the beam body area grid model of the sweepforward spiral tube of the liquid lead bismuth as the outlet boundary of the liquid lead bismuth, and setting the pressure of the liquid lead bismuth at the outlet position according to actual conditions;
step 3-3: setting the boundary of the outer surface of the tube bundle of the liquid lead bismuth sweepback spiral tube beam body area grid model as a constant wall temperature boundary, simulating the process of cooling the liquid lead bismuth by the tube bundle, setting the wall surfaces of the inner sleeve and the outer sleeve as heat insulation boundaries, and not exchanging heat between the wall surfaces of the inner sleeve and the outer sleeve and the liquid lead bismuth;
step 3-4: the physical parameters of the liquid lead bismuth obtained by calculation comprise the density of the liquid lead bismuth, the dynamic viscosity of the liquid lead bismuth alloy, the specific heat capacity of the liquid lead bismuth alloy and the dynamic thermal conductivity of the liquid lead bismuth alloy, and the density of the liquid lead bismuth is calculated as follows:
ρLBE=11096-1.3236T (1)
t-temperature of liquid lead bismuth, K
The calculation formula of the specific heat capacity of the liquid lead-bismuth alloy is as follows:
cp,LBE=159-2.72×10-2T+7.12×10-6T2 (2)
the dynamic viscosity of the liquid lead-bismuth alloy is calculated as follows:
Figure FDA0003158110880000021
the calculation formula of the dynamic thermal conductivity of the liquid lead-bismuth alloy is as follows:
λLBE=3.61+1.517×10-2T-1.741×10-6T2 (4)
step 3-5: selecting a turbulent flow Plantt digital model suitable for liquid lead bismuth flow heat exchange simulation, loading the turbulent flow Plantt digital model into computational fluid dynamics software, and correcting the turbulent flow Plantt digital model in the computational fluid dynamics software FLUENT, wherein the selected model is as follows:
Figure FDA0003158110880000022
Prt=4.12 Pe≤1000 (6)
Figure FDA0003158110880000031
pe-liquid lead bismuth flow peclet number;
Prt-turbulent prandtl number;
step 3-6: solving the mass, momentum, energy and component transport equation of the liquid lead bismuth to obtain a liquid lead bismuth sweepforward spiral tube bundle calculation domain velocity field and a liquid lead bismuth temperature field;
and 4, step 4: establishing a cross section superposed with the spiral tube bundle by utilizing post-processing software TECPLOT from the calculation result of the speed field and the temperature field of the liquid lead bismuth swept-out spiral tube bundle calculation domain obtained in the step 3, extracting the fluid cross section speed and the temperature field distribution information of the liquid lead bismuth swept-out spiral tube bundle, calculating the fluid cross section speed and the temperature gradient distribution condition of the liquid lead bismuth swept-out spiral tube bundle, and solving the equation of the speed gradient and the temperature gradient;
Figure FDA0003158110880000032
Figure FDA0003158110880000033
u, V, W-x, y, z direction component velocity, m/s;
t-liquid lead bismuth temperature, K;
a-velocity gradient, s-1
b-temperature gradient, K/m;
and 5: calculating the domain velocity field distribution information according to the liquid lead bismuth sweepback spiral tube bundle obtained in the step 3, calculating the domain velocity gradient distribution condition according to the liquid lead bismuth sweepback spiral tube bundle, determining the position of a velocity boundary layer, and extracting the thickness of the velocity boundary layer, wherein the specific steps are as follows:
step 5-1: calculating the distribution information of the domain velocity field according to the liquid lead bismuth sweepback spiral tube bundle obtained in the step 3, determining a velocity boundary layer area, extracting the position information of the velocity boundary layer, and determining the area as the velocity boundary layer area when the local flow velocity of the liquid lead bismuth is less than 99% of the main flow velocity according to the judgment basis:
U=0.99U (10)
U-the main flow velocity of liquid lead bismuth, m/s;
step 5-2: according to the velocity gradient distribution condition of the fluid section of the liquid lead bismuth sweepback spiral tube bundle obtained in the step 4, when the velocity gradient of the liquid lead bismuth is sharply reduced, determining the region as a velocity boundary layer region, comparing the velocity boundary layer region with the velocity boundary layer region determined in the step 5-1, and supplementing the region which is not covered in the step 5-1:
step 5-3: extracting the coordinates of the speed boundary layer area determined in the step 5-2, and calculating to obtain the thickness of the speed boundary layer, wherein the calculation formula is as follows:
Figure FDA0003158110880000041
δv-velocity boundary layer thickness, m;
x, y, z-velocity boundary layer boundary coordinates;
step 6: according to the temperature field distribution information of the calculation domain of the liquid lead bismuth swept-out spiral tube bundle obtained in the step 3, the temperature gradient distribution condition of the calculation domain of the liquid lead bismuth swept-out spiral tube bundle is determined, the position of a temperature boundary layer is determined, and the thickness of the temperature boundary layer is extracted, and the method specifically comprises the following steps:
step 6-1: calculating the distribution information of the domain temperature field according to the liquid lead bismuth sweepforward spiral tube bundle obtained in the step 3, determining the temperature boundary layer area, extracting the position information of the temperature boundary layer, and judging that the fluid is positioned in the temperature boundary layer when the temperature difference between the liquid lead bismuth temperature and the wall surface temperature reaches below 99 percent of the temperature difference between the main flow temperature and the wall surface temperature:
T-Tw=0.99(T-Tw) (12)
T-liquid lead bismuth main stream temperature, K;
Tw-cooling the wall temperature, K;
step 6-2: according to the temperature gradient distribution condition of the fluid section of the liquid lead bismuth sweepback spiral tube bundle obtained in the step 4, when the temperature gradient of the liquid lead bismuth is sharply reduced, determining the area as a temperature boundary layer area, comparing the temperature boundary layer area with the temperature boundary layer area determined in the step 6-1, and supplementing the area which is not covered in the step 6-1:
step 6-3: extracting the coordinates of the temperature boundary layer area determined in the step 6-2, and calculating to obtain the thickness of the temperature boundary layer, wherein the calculation formula is as follows:
Figure FDA0003158110880000051
δt-temperature boundary layer thickness, m;
x, y, z-velocity boundary layer boundary coordinates.
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