CN116753761A - Horizontal phase change heat storage device with treelike bionic fins and design method - Google Patents

Horizontal phase change heat storage device with treelike bionic fins and design method Download PDF

Info

Publication number
CN116753761A
CN116753761A CN202311041101.9A CN202311041101A CN116753761A CN 116753761 A CN116753761 A CN 116753761A CN 202311041101 A CN202311041101 A CN 202311041101A CN 116753761 A CN116753761 A CN 116753761A
Authority
CN
China
Prior art keywords
branch
heat
phase change
tree
storage device
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN202311041101.9A
Other languages
Chinese (zh)
Other versions
CN116753761B (en
Inventor
杨来顺
王震
崔熠
常国璋
李�杰
王翠苹
崔伟伟
孙佩佩
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Shandong University of Science and Technology
Original Assignee
Shandong University of Science and Technology
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Shandong University of Science and Technology filed Critical Shandong University of Science and Technology
Priority to CN202311041101.9A priority Critical patent/CN116753761B/en
Publication of CN116753761A publication Critical patent/CN116753761A/en
Application granted granted Critical
Publication of CN116753761B publication Critical patent/CN116753761B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Classifications

    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F28—HEAT EXCHANGE IN GENERAL
    • F28D—HEAT-EXCHANGE APPARATUS, NOT PROVIDED FOR IN ANOTHER SUBCLASS, IN WHICH THE HEAT-EXCHANGE MEDIA DO NOT COME INTO DIRECT CONTACT
    • F28D20/00—Heat storage plants or apparatus in general; Regenerative heat-exchange apparatus not covered by groups F28D17/00 or F28D19/00
    • F28D20/02—Heat storage plants or apparatus in general; Regenerative heat-exchange apparatus not covered by groups F28D17/00 or F28D19/00 using latent heat
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/17—Mechanical parametric or variational design
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/28—Design optimisation, verification or simulation using fluid dynamics, e.g. using Navier-Stokes equations or computational fluid dynamics [CFD]
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F28—HEAT EXCHANGE IN GENERAL
    • F28F—DETAILS OF HEAT-EXCHANGE AND HEAT-TRANSFER APPARATUS, OF GENERAL APPLICATION
    • F28F2215/00—Fins
    • F28F2215/08—Fins with openings, e.g. louvers
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00—Details relating to CAD techniques
    • G06F2111/10—Numerical modelling
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00—Details relating to the application field
    • G06F2113/08—Fluids
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00—Details relating to the application field
    • G06F2113/14—Pipes
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/08—Thermal analysis or thermal optimisation
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00—Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
    • Y02E60/14—Thermal energy storage

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Computational Mathematics (AREA)
  • Mechanical Engineering (AREA)
  • Thermal Sciences (AREA)
  • Algebra (AREA)
  • Computing Systems (AREA)
  • Fluid Mechanics (AREA)
  • Mathematical Physics (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)

Abstract

The application belongs to the technical field of heat generation devices, and discloses a horizontal phase change heat storage device with an open-pore tree-shaped bionic fin and a design method thereof. The device comprises a hot water pipe, wherein a plurality of treelike bionic fins with holes for heat exchange of the phase-change material are uniformly arranged on the circumference of the hot water pipe. According to the application, numerical simulation is carried out on the melting process of the split Kong Shuxing bionic fins by using computational fluid dynamics software, the influence of openings with different diameters and the number of the openings on the phase change heat storage device replacement heat and consumable materials of the tree-shaped bionic fins is analyzed by a response surface method, the cooperative reinforcement effect of natural convection and heat conduction is achieved on the phase change heat accumulator by the openings, the overall heat storage capacity and applicability of the phase change heat accumulator are improved, and the application and development of the phase change heat accumulator are promoted.

Description

Horizontal phase change heat storage device with treelike bionic fins and design method
Technical Field
The application belongs to the technical field of heat generation devices, and particularly relates to a horizontal phase change heat storage device with an open-pore tree-shaped bionic fin and a design method thereof.
Background
In order to effectively replace renewable fossil energy gradually, renewable energy sources such as wind energy, solar energy and the like are paid attention to gradually, the renewable energy sources have the advantages of low cost, no pollution, energy structure adjustment and the like, but the renewable energy sources have inherent defects such as territory, intermittence and the like, so that an energy storage technology becomes an important problem for solving the application and development of the renewable energy sources. The heat exchanger is not needed for reasonably utilizing non-renewable energy sources and scientifically developing renewable energy sources. The efficiency of the heat exchanger is an important ring in energy utilization, and how to improve the heat exchange efficiency of the heat exchanger is always a research hot problem of various nationists. The energy storage technology is widely applied mainly in the forms of sensible heat storage energy storage, latent heat storage energy storage and chemical energy storage. The energy storage technology through the phase change material is considered as an energy storage technology means with better performance. The phase-change heat storage energy storage technology has the advantages of high density, constant temperature, high availability and the like, but low heat conductivity coefficient is one of the barriers of wide application of phase-change materials.
The prior art divides the improved phase change heat exchanger structure into three types: active technology, passive technology, composite reinforcement technology. The passive technology has the advantages of low cost, simple structure, convenient maintenance and the like, and has wider application range in the reinforced phase change heat storage device. The fin and the open pore are added by a passive strengthening technology, the heat exchange area of the fin extended heat accumulator is increased, and the heat conduction is enhanced, so that the heat accumulation rate is accelerated; the heat exchange surface is processed into multiple holes by the open pores, so that the natural convection intensity of the phase change heat accumulator is enhanced, and the phase change rate is accelerated.
The prior art has studied novel tree-structured fins of aspect ratio. The result shows that when the aspect ratio of the tree-shaped bionic fin is 1.3 and the width index is 1, the heat storage performance of the horizontal shell-and-tube phase change heat storage device can be remarkably improved, the solidification rate is reduced by 66.2%, and the complete melting rate is improved by 4.4%. The prior art also explores tree structured fins with uniform gradients and compares with conventional fractal fins and uniform tree biomimetic fins. The result shows that the lower melting rate of the tree-shaped bionic fin is improved, and the synergistic effect of natural convection and heat conduction in the later period of melting is enhanced. The complete melting time is improved by 9 percent. The prior art also researches the multi-objective structural optimization design of the perforated helical blade by using a response surface method and a genetic algorithm. The result shows that the time of the optimization design iteration of the equipment structure can be shortened through a response surface method and a genetic algorithm, and the pareto optimal solution set is found through the fitted association, so that the maximum efficiency of the helical blade after the opening is optimized is improved by 6.46 percent.
In addition, the prior art proposes that the tree net structure theory is attributed to the body point theory, the tree-shaped bionic fins are beneficial to reducing thermal hysteresis, more beneficial to conveying heat to a certain point of the phase change heat accumulator, and capable of improving the overall uniformity of overall heat accumulation. At present, the enhancement of the tree-shaped bionic fins mainly changes the length-width ratio of the tree-shaped bionic fins and the angles of the tree-shaped bionic fins, so that the heat conduction capacity of the phase change process is improved, and the heat storage rate is accelerated.
Through the above analysis, the problems and defects existing in the prior art are as follows:
(1) The prior art does not combine tree-shaped bionic fins in a passive technology with an open pore technology, and the natural convection effect in the melting process of the phase change material is weaker, so that the overall heat storage rate is slower.
(2) The prior art lacks effective analysis on the influences of the holes with different diameters and the number of the holes on the heat accumulation capacity and the consumable material of the tree-shaped bionic fin phase-change heat storage device, so that the application of the phase-change heat storage device lacks theoretical basis, and the practicability is limited.
Disclosure of Invention
In order to overcome the problems in the related art, the disclosed embodiments of the application provide a horizontal phase change heat storage device with an open-pore tree-shaped bionic fin and a design method thereof.
The technical scheme is as follows: the horizontal phase change heat storage device with the treelike bionic fins comprises a hot water pipe, wherein the treelike bionic fins with a plurality of holes for heat dissipation are uniformly distributed on the circumference of the hot water pipe.
The tree-shaped bionic fin comprises a first branch, a second branch and a third branch which are connected in sequence; the first branch is connected with a hot water pipe;
the first branch, the second branch and the third branch are respectively provided with a first branch opening, a second branch opening and a third branch opening;
further, the second branch branches at least twice as many branches as the first branch.
Further, the third branch branches at least twice as many branches as the second branch.
Further, the first branch, the second branch and the third branch are distributed at a certain angle with each other.
Further, the widths of the first branch, the second branch and the third branch are arranged in a descending manner.
Further, the first branch open pore, the second branch open pore, the third branch open pore are a plurality of, and the hole interval of a plurality of first branch open pores, second branch open pores, third branch open pores is different.
Further, the diameters of the first branch opening, the second branch opening and the third branch opening are different.
The application further aims to provide a design method of the horizontal phase change heat storage device with the open-pore tree-shaped bionic fins, which comprises the following steps:
analyzing the influence of design variables on the single factor and the multi-factor of the replacement heat of the phase change heat storage device and the consumable material by using computational fluid dynamics software through a response surface method, establishing mathematical association, and obtaining a simulation model of the horizontal phase change heat storage device with the treelike bionic fins; the variables include the diameter of the holes, the diameter spacing and the number of the holes.
The calculation method using the computational fluid dynamics software includes:
enthalpy of solid phase region, pasty region and liquid phase region of PCM phase change material in open-pore tree fin heat exchangerDifferent from each other, the solid phase zone has only sensible heat, the liquid phase zone and the paste phase zone have enthalpy +>At the same time have sensible heat and latent heat->The enthalpy expressions of the solid phase region and the liquid phase region are respectively:
；
；
in the method, in the process of the application,enthalpy of solid phase region, ++>Enthalpy for liquid and paste zone, +.>For temperature, < >>For reference temperature->For constant pressure specific heat->Is a differential sign ++>Is the latent heat of phase change of the PCM;
for pasty zones, liquid fraction is introducedCharacterizing the volume fraction of the PCM liquid phase in the pasty region, wherein the liquid fraction +.>The definition is as follows:
；
in the method, in the process of the application,is PCM solid phase temperature, +.>For PCM liquidus temperature, +.>Is the temperature;
after the liquid phase ratio is introduced, the enthalpy value in the equation is written into a unified mathematical expression:
；
for the natural convection of the liquid phase-change material, when the thermal fluid behavior of the phase-change material in the heat exchanger is subjected to numerical simulation, the control equation used, namely the equation Cheng Ruxia of continuity, momentum and energy:
the continuity equation is:
；
the momentum equation is:
；
；
the energy equation is:
；
in the method, in the process of the application,for advection transport of latent heat, +.>For the velocity in the x-direction in three-dimensional coordinates, +.>For y-direction velocity in three-dimensional coordinates, +.>For density (I)>Is a thermal expansion coefficient>For dynamic viscosity>Is heat capacity, is->Is of heat conductivity>For pressure->Enthalpy of->For the total speed in the x direction of the three-dimensional coordinate, +.>The total speed in the y direction of the three-dimensional coordinate;
momentum sinkAnd->The expression is as follows:
；
；
in the method, in the process of the application,is pasty area constant, ++>Is a parameter for avoiding division by zero, < >>For developing enthalpy->Is latent heat;
taking into account the influence of natural convection, it is unavoidable, especially in the melting process, to use a Boussinesq approximation model; in this model, the fluid density is assumed to be constant, except for the momentum equation term, which is considered a function of temperature based on the following expression:
；
；
in the method, in the process of the application,is the density of the liquid phase change material->Is solid phase temperature line temperature, ">Is liquidus temperature line temperature.
The response surface method uses a fully rotatable Center Composite Design (CCD) comprising 4 factors, 5 levels, and finally 26 cases comprising 2 center points, 16 fractional factorial points and 8 star points; the response surface quadratic polynomial used is expressed as:
；
in the method, in the process of the application,is the variable number->Is a coefficient of->And->Response and factor, respectively;
obtaining mathematical relations among the heat exchange quantity S1, the consumable S2, the opening diameter A, B, C and the number D of the openings through fitting; the correlation formula fitted to the heat exchange amount and the consumable material respectively by using the response surface method is as follows:
the heat exchange formula is:
S1=0.795013-0.00386×A-0.000353×B-0.000731×C-0.00027×D+0.000112×A×B-0.000026×A×C+0.00005×A×D+0.000014×B×C+0.00005×B×D+0.000106×C×D+0.000039×A 2 -0.00000004075×B 2 +0.000067×C 2 -0.000000719437×D 2
the correlation coefficient of the formula is 0.9692;
the consumable formula is:
S2=1.03884+0.003729×A+0.003982×B+0.00568×C+0.002175×D-0.00069×A×B+0.000145×A×C-0.000476×A×D-0.000151×B×C-0.000315×B×D-0.000716×C×D-0.00031×A 2 -0.000283×B 2 -0.000538×C 2 +0.000042×D 2
the correlation coefficient of the above formula is 0.9896.
By combining all the technical schemes, the application has the advantages and positive effects that: in order to improve the thermal performance of the horizontal phase-change latent heat storage device, the horizontal phase-change heat storage device with the treelike bionic fins is provided, design variables (the diameter of the holes, the diameter interval of the holes and the number of the holes) are analyzed by a response surface method by means of computational fluid dynamics software, influences on heat storage capacity and consumable single factors and multiple factors of the phase-change heat storage device are achieved, and mathematical correlation is established. The result shows that the heat exchange performance of the phase change heat exchanger with three rows of holes is most obviously improved, and compared with the heat exchange quantity and the convection heat exchange coefficient without holes, the heat exchange quantity and the convection heat exchange coefficient are respectively improved by 21.92 percent and 24.39 percent. The perforated fins quicken the heat convection performance of the phase-change heat exchanger, save the consumption of the fin tube consumable, and provide guidance for the phase-change heat storage optimization design.
According to the application, the tree-shaped bionic fin and the pore opening technology in the passive technology are combined, and on the premise of ensuring the structural strength of the fin, the natural convection in the melting process of the phase-change material is improved, and the heat storage rate is enhanced through the natural convection of the phase-change material. And as the consumption and the volume of the fins are reduced by the openings of the fins, the integral heat storage capacity of the phase change heat accumulator is improved.
According to the application, numerical simulation is carried out on the melting process of the split Kong Shuxing bionic fins by using computational fluid dynamics software, the influence of openings with different diameters and the number of the openings on the phase change heat storage device replacement heat and consumable materials of the tree-shaped bionic fins is analyzed by a response surface method, the cooperative reinforcement effect of natural convection and heat conduction is achieved on the phase change heat accumulator by the openings, the overall heat storage capacity and applicability of the phase change heat accumulator are improved, and the application and development of the phase change heat accumulator are promoted.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments consistent with the disclosure and together with the description, serve to explain the principles of the disclosure;
FIG. 1 is a schematic diagram of a horizontal phase change heat storage device with an open-pore tree-shaped bionic fin provided by an embodiment of the application;
FIG. 2 is a specific dimension diagram of a horizontal phase change heat storage device with an open-pore tree-shaped bionic fin provided by an embodiment of the application;
FIG. 3 is a graph showing the variation of the number of consumable parts and heat exchange between the number of non-perforated holes and the number of perforated holes according to the embodiment of the application;
FIG. 4 is a graph showing the change in volume and heat convection coefficient between the number of rows of unapertured and increased open cells provided by an embodiment of the present application;
in the figure: 1. a hot water pipe; 2. a first branch; 3. a second branch; 4. a third branch; 5. a first branch opening; 6. a second branch opening; 7. and opening holes on the third branches.
Detailed Description
In order that the above objects, features and advantages of the application will be readily understood, a more particular description of the application will be rendered by reference to the appended drawings. In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present application. The application may be embodied in many other forms than described herein and similarly modified by those skilled in the art without departing from the spirit or scope of the application, which is therefore not limited to the specific embodiments disclosed below.
Embodiment 1, as shown in fig. 1, a horizontal phase change heat storage device with an open-pore tree-shaped bionic fin (a tree-shaped bionic fin physical module of a horizontal shell-and-tube phase change heat storage device) provided by an embodiment of the present application includes:
the heat-dissipating device comprises a hot water pipe 1, wherein a plurality of tree-shaped bionic fins with holes for heat dissipation are uniformly arranged on the circumference of the hot water pipe 1;
the tree-shaped bionic fin comprises a first branch 2, a second branch 3 and a third branch 4 which are connected in sequence;
the first branch 2 is connected with the hot water pipe 1;
the second branch 3 branches at least twice as far as the first branch 2; the third branch 4 branches at least twice as far as the second branch 3;
the first branch 2, the second branch 3 and the third branch 4 are distributed at a certain angle;
the widths of the first branch 2, the second branch 3 and the third branch 4 are arranged in a decreasing manner;
the first branch 2, the second branch 3 and the third branch 4 are respectively provided with a first branch opening 5, a second branch opening 6 and a third branch opening 7; the first branch opening 5, the second branch opening 6 and the third branch opening 7 are all multiple;
the diameters of the first branch opening 5, the second branch opening 6 and the third branch opening 7 are different.
The specific size of the horizontal phase change heat storage device with the open-pore tree-shaped bionic fins is shown in fig. 2; the horizontal phase change regenerator contains several dimensional parameters, wherein important structural parameters include: the length Ln and the width δn of each branch (the detailed structural parameters of each branch are shown in table 1), the radius of a hot water pipe r1=9 mm, the heat exchanger r2=15 mm, the length of a tree-shaped bionic fin r3=59 mm, and the branches are uniformly distributed.
For the temperature detection points, the circumference radius and the uniform distribution angle are intersected to obtain a temperature point distribution, wherein r4=20 mm, d1=15 mm, d2=10 mm and d3=5 mm. The values of the response surface design variables are detailed in the table.
Table 1 tree bionic fin each branch structure parameter:
；
table 2 pore size, number design variables and values:
。
embodiment 2 of the present application provides a design method of a horizontal phase change heat storage device with an open-pore tree-shaped bionic fin, including:
analyzing the influence of design variables on the single factor and the multi-factor of the replacement heat of the phase change heat storage device and the consumable material by using computational fluid dynamics software through a response surface method, establishing mathematical association, and obtaining a simulation model of the horizontal phase change heat storage device with the treelike bionic fins; the variables include the diameter of the holes, the diameter spacing and the number of the holes.
The application mainly analyzes the relation between the PCM melting heat transfer characteristic of the phase change heat exchanger and the parameters of different treelike rib structures. For the problem of the unsteady heat conduction phase change melting process of the open-pore tree-shaped fin heat exchanger, the most widely used enthalpy-porosity method is adopted at presentAnd->Total enthalpy of combination->As a primary dependent variable in the energy equation. The enthalpy method has the advantages that a phase interface does not need to be tracked, the enthalpy and the temperature are used as functions to be solved, an energy equation of the whole area is established, a discrete equation is established based on an enthalpy method model, and numerical solution is carried out on the discrete equation. The problem of heat conduction accompanied by a phase change process has a high degree of nonlinearity, complicating the problem. To simplify the model, the following assumptions are made:
PCM is a homogeneous and isotropic phase change material, with the liquid phase being considered an incompressible newtonian fluid.
The viscous dissipation and thermal contact resistance of PCM in laminar flow conditions are negligible.
The phase change process is controlled by thermal conduction and thermal convection and the density uses the Boussinesq assumption, i.e. the density change of the fluid is only taken into account when influenced by the buoyancy. The coefficient of thermal expansion is introduced to characterize density fluctuations, otherwise the density is constant during the phase change.
The heat exchange loss between the phase-change heat exchanger and the outside is negligible, the phase-change temperature is in a determined range, and the phase interface is indirectly determined by adopting an enthalpy method. The method uses enthalpy and temperature as variables to be solved simultaneously, a unified energy equation is established in a solid phase, a liquid phase and interfaces thereof, and the position of the phase interface is determined by solving enthalpy values. The energy equation is:
；
in the method, in the process of the application,enthalpy (enthalpy)>Is time, & lt>Is a heat conduction coefficient>Density (I)>Temperature, < >>And->Is the polar diameter and polar angle in the polar coordinate system.
For PCM phase change material in open-pore tree fin heat exchanger, enthalpy of solid phase region, pasty region, liquid phase region and liquid phase regionDifferent from each other. Sensible heat only in the solid phase region, enthalpy +.>At the same time have sensible heat and latent heat->. It is fixed toEnthalpy expressions of the phase region and the liquid phase region, and the paste region are respectively:
；
；
in the method, in the process of the application,enthalpy of solid phase region, ++>Enthalpy for liquid and paste zone, +.>For temperature, < >>For reference temperature->For constant pressure specific heat->Is a differential sign ++>Is the latent heat of phase change of the PCM;
for pasty zones, liquid fraction is introducedCharacterizing the volume fraction of the PCM liquid phase in the pasty region, wherein the liquid fraction +.>The definition is as follows:
；
in the method, in the process of the application,is PCM solid phase temperature, +.>For PCM liquidus temperature, +.>Is the temperature;
after the liquid phase ratio is introduced, the enthalpy value in the equation is written into a unified mathematical expression:
；
for the natural convection of the liquid phase-change material, when the thermal fluid behavior of the phase-change material in the heat exchanger is subjected to numerical simulation, the control equation used, namely the equation Cheng Ruxia of continuity, momentum and energy:
the continuity equation is:
；
the momentum equation is:
；
；
the energy equation is:
；
in the method, in the process of the application,for advection transport of latent heat, +.>For the velocity in the x-direction in three-dimensional coordinates, +.>For y-direction velocity in three-dimensional coordinates, +.>For density (I)>Is a thermal expansion coefficient>For dynamic viscosity>Is heat capacity, is->Is of heat conductivity>For pressure->Enthalpy of->For the total speed in the x direction of the three-dimensional coordinate, +.>The total speed in the y direction of the three-dimensional coordinate;
momentum sinkAnd->The expression is as follows:
；
；
in the method, in the process of the application,for the pasty region constant, preferably at 10 5 -10 6 Within the range of>Is a parameter for avoiding division by zero, < >>For developing enthalpy->Is latent heat;
taking into account the influence of natural convection, it is unavoidable, especially in the melting process, to use a Boussinesq approximation model; in this model, the fluid density is assumed to be constant, except for the momentum equation term, which is considered a function of temperature based on the following expression:
；
；
in the method, in the process of the application,is the density of the liquid phase change material->Is solid phase temperature line temperature, ">Is liquidus temperature line temperature;
a center composite design (Central Composite Design, CCD) design method using a response surface method (Response Surface Method), the definition of the center composite design is set to 5 levels for each numerical factor: positive and negative alpha (axial point), positive and negative 1 (factorial point) and a center point. If category factors are added, the center combination design will repeat in each combination at the category factor level. A four-factor five-level two-objective scheme is established,four factors are selected as multi-factor objects, which are phi 1, phi 2 and phi 3, respectively, the diameter of the open pore and the number of the open poresCorresponding to the diameters of the holes of the rows L1, L2 and L3 respectively). The diameter values of phi 1, phi 2 and phi 3 are 2-4 mm, and the number of the holes is 5-9. Mathematical relations between the filling quantity and the heat exchange quantity (two targets) and the diameters and the numbers of the holes (four factors) of the holes phi 1, phi 2 and phi 3 are obtained through fitting.
The Center Complex Design (CCD) was proposed by Box and Wilson in 1951 and is a RSM commonly used by experimenters. This most popular RSM design is a set of three design points including a factorial point, a star point, and a center.
；
In the method, in the process of the application,and->The number of factors and the number of repetitions of the center point are represented, respectively.
In the present application, the response surface method uses a fully rotatable CCD, which includes 4 factors, 5 levels, and finally 26 cases, which include 2 center points, 16 fractional factorial points, and 8 star points. RSM is a combination of mathematical and statistical methods for modeling and analysis of responses of interest that are affected by multiple factors. In RSM, the route simulates a real limit state surface through a series of deterministic experiments, without requiring traditional empirical correlation. In the absence of more accurate empirical formulas, RSM is an effective method of optimizing complex design work. The response surface quadratic polynomial used in this study was expressed as:
；
in the method, in the process of the application,is the variable number->Is a coefficient of->And->Response and factor, respectively;
mathematical relations among the heat exchange amount S1, the consumable S2 (two targets), the phi 1, phi 2, phi 3 opening diameters A, B, C and the opening number D (four factors) are obtained through fitting. The correlation formula fitted to the heat exchange amount and the consumable material respectively by using the response surface method is as follows:
the heat exchange formula is:
S1=0.795013-0.00386×A-0.000353×B-0.000731×C-0.00027×D+0.000112×A×B-0.000026×A×C+0.00005×A×D+0.000014×B×C+0.00005×B×D+0.000106×C×D+0.000039×A 2 -0.00000004075×B 2 +0.000067×C 2 -0.000000719437×D 2
the correlation coefficient of the above formula is 0.9692, which is close to 1, so the above formula is accurate.
The consumable formula is:
S2=1.03884+0.003729×A+0.003982×B+0.00568×C+0.002175×D-0.00069×A×B+0.000145×A×C-0.000476×A×D-0.000151×B×C-0.000315×B×D-0.000716×C×D-0.00031×A 2 -0.000283×B 2 -0.000538×C 2 +0.000042×D 2
the correlation coefficient of the above formula is 0.9896, which is close to 1, so the above formula is accurate.
According to the embodiment, the phase change heat storage can be used in the fields of solar heat storage, industrial equipment waste heat utilization and the like. The perforated tree-shaped bionic fin can improve the heat exchange quantity of the heat accumulator on the basis of reducing consumable materials, reduces material consumption, and can maximally reduce 2.41% of consumable materials compared with the non-perforated tree-shaped bionic fin. Because the heat exchange of the tree-shaped bionic fins is enhanced after the holes are formed, compared with the heat exchange quantity which can be maximally improved by 96.69% without the holes, the heat accumulation overall performance of the heat accumulator is improved while the manufacturing cost is reduced, and the advantages can be improved in market products so as to promote the income.
The phase-change energy storage technology has the advantages of high energy density, small occupied space and the like, but has the problem of small heat conductivity coefficient. The prior researches mostly aim at strengthening the heat conduction performance, the patent innovatively utilizes the opening of the fins to strengthen the natural convection effect, improves the tree-shaped bionic fin heat accumulator mainly based on heat conduction, improves the whole heat accumulation capacity of the heat accumulator, promotes the convection effect of the phase change material, and improves the heat accumulation mode mainly based on heat conduction.
The phase-change heat storage has the advantages of constant temperature, high energy storage density, strong reusability and the like, but the low heat conduction property of the phase-change material prevents the practical application development. The application improves the low heat conductivity coefficient of the phase change material by enhancing the convection heat exchange of the treelike bionic fin openings and enhances the heat exchange of the heat accumulator.
In the foregoing embodiments, the descriptions of the embodiments are emphasized, and in part, not described or illustrated in any particular embodiment, reference is made to the related descriptions of other embodiments.
Application example 1, water is heated by heat radiation in a solar heat storage system, hot water is used as a heat exchange medium, heat is transferred into a phase change material through first, second and third branch fins of the treelike bionic structure, and the heat is absorbed and stored by the phase change material. The stored heat can be used for hot water shower, more heat can be stored for shower than hot water due to the high energy storage density of the phase-change material, the stored heat can also be used for winter heating, the winter heating temperature can be kept constant due to the constant temperature of the phase-change material, and the heat sustainable heating can be kept due to the strong recycling property.
Application example 2, because of the rapid rise of new energy automobiles, the problem of difficult starting of new energy automobiles can be caused due to low temperature in northern winter. Through increasing phase change heat accumulation system at new energy automobile, store the heat that new energy automobile produced daytime, because phase change material temperature is invariable and energy storage density is big, can keep the temperature invariable for new energy automobile sustainability, prevent that engine temperature from being too low for new energy automobile can still start even in cold winter.
Application example 3, the existing industrial system is perfect and the types are diversified. The waste heat generated by large and medium-sized energy chemical industry, power generation and the like is more, and more waste is generated in a cooling tower mode. The phase change heat storage system is additionally arranged around the large and medium-sized parts, heat is transferred into the phase change material through the tree-shaped bionic fins, waste heat generated by the heat is recovered, and the recovered heat can be used for various cascade low-temperature utilization. The method comprises the following steps: the heat storage is used for heating a civil hot water pipe, heating in winter, drying in a food processing factory and the like, so that waste heat can be better utilized in a cascade manner, and the waste of resources is reduced.
The content of the information interaction and the execution process between the devices/units and the like is based on the same conception as the method embodiment of the present application, and specific functions and technical effects brought by the content can be referred to in the method embodiment section, and will not be described herein.
It will be apparent to those skilled in the art that, for convenience and brevity of description, only the above-described division of the functional units and modules is illustrated, and in practical application, the above-described functional distribution may be performed by different functional units and modules according to needs, i.e. the internal structure of the apparatus is divided into different functional units or modules to perform all or part of the above-described functions. The functional units and modules in the embodiment may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit, where the integrated units may be implemented in a form of hardware or a form of a software functional unit. In addition, the specific names of the functional units and modules are only for distinguishing from each other, and are not used for limiting the protection scope of the present application. For specific working processes of the units and modules in the system, reference may be made to corresponding processes in the foregoing method embodiments.
Based on the technical solutions described in the embodiments of the present application, the following application examples may be further proposed.
According to an embodiment of the present application, there is also provided a computer apparatus including: at least one processor, a memory, and a computer program stored in the memory and executable on the at least one processor, which when executed by the processor performs the steps of any of the various method embodiments described above.
Embodiments of the present application also provide a computer readable storage medium storing a computer program which, when executed by a processor, performs the steps of the respective method embodiments described above.
The embodiment of the application also provides an information data processing terminal, which is used for providing a user input interface to implement the steps in the method embodiments when being implemented on an electronic device, and the information data processing terminal is not limited to a mobile phone, a computer and a switch.
The embodiment of the application also provides a server, which is used for realizing the steps in the method embodiments when being executed on the electronic device and providing a user input interface.
Embodiments of the present application also provide a computer program product which, when run on an electronic device, causes the electronic device to perform the steps of the method embodiments described above.
The integrated units, if implemented in the form of software functional units and sold or used as stand-alone products, may be stored in a computer readable storage medium. Based on such understanding, the present application may implement all or part of the flow of the method of the above embodiments, and may be implemented by a computer program to instruct related hardware, where the computer program may be stored in a computer readable storage medium, and when the computer program is executed by a processor, the computer program may implement the steps of each of the method embodiments described above. Wherein the computer program comprises computer program code which may be in source code form, object code form, executable file or some intermediate form etc. The computer readable medium may include at least: any entity or device capable of carrying computer program code to a photographing device/terminal apparatus, recording medium, computer Memory, read-Only Memory (ROM), random access Memory (Random Access Memory, RAM), electrical carrier signals, telecommunications signals, and software distribution media. Such as a U-disk, removable hard disk, magnetic or optical disk, etc.
To further demonstrate the positive effects of the above embodiments, the present application was based on the above technical solutions to perform the following experiments.
Analysis of the number of rows of openings: the prior improvement of the thermal hysteresis of the tree-shaped bionic fin phase-change heat exchanger mainly aims at changing the structural shape of the tree-shaped bionic fin and improving the melting rate of the phase-change heat exchanger in a mode of enhancing heat conduction. The application is different from the former method for changing the shape and structure of the tree-shaped bionic fin phase-change heat exchanger, combines the pore-forming technology with the phase-change heat exchanger, and applies the excellent enhanced convection heat exchange performance of the pore-forming technology to the phase-change heat exchanger. The tree-shaped bionic fins of the phase-change heat exchanger are provided with holes, so that natural convection of a buoyancy effect is generated due to different densities in the melting process of the phase-change materials, the heated and melted phase-change materials with high temperature and low density are mixed with the initially heated and unheated phase-change materials with low temperature and high density, the synergistic strengthening effect of heat conduction and natural convection of the tree-shaped bionic fins is enhanced, the heat exchange process between the tree-shaped bionic fins and the phase-change materials is quickened, and the heat charging time of the phase-change material heat exchanger is shortened.
The consumable calculation of the horizontal phase-change heat storage device is derived from three-dimensional modeling software, and the heat exchange quantity and the convective heat exchange coefficient are derived from the solving result of the computational fluid dynamics software on the horizontal phase-change heat storage device model according to a continuity equation, a momentum equation and an energy equation. According to the calculation results, the consumable materials, the heat exchange amount and the convection heat exchange coefficient of the horizontal phase change heat storage devices with different open pore structures are respectively compared, and the comparison results are shown in tables 3, 4 and 5, and fig. 3 and 4. The method comprises the following steps:
FIG. 3 shows the variation of consumable and heat exchange amount without opening and with increasing number of openings. As can be seen from fig. 3, the number of the consumables of the tree-shaped bionic fins without holes is greater than that of the tree-shaped bionic fins with holes, and the consumables are continuously reduced along with the increase of the number of the rows of the holes, as shown in table 3. The heat exchange amount is obviously improved after the number of the open pore rows is increased, wherein the heat exchange amount of the tree-shaped bionic fins with three open pores is highest, and the heat exchange amount is improved by 21.92% compared with that of the tree-shaped bionic fins without open pores, as shown in table 4. With the increase of the number of the open pores, the heat exchange quantity of the tree-shaped bionic fin shows a rising trend, which shows that the blending effect of natural convection on the phase change material is increased after the open pores, so that the melted phase change material and the unmelted phase change material flow mutually, and the phase change heat exchange is improved.
Table 3 effect of openings on consumables:
。
table 4 effect of openings on heat exchange:
。
further, FIG. 4 shows the change in volume and heat convection coefficient for the number of rows of non-openings and increased openings. From fig. 4, it can be seen that the volume of the tree-shaped bionic fins after the holes are opened is obviously reduced and the convective heat transfer coefficient is greatly improved compared with that of the tree-shaped bionic fins without the holes, and the convective heat transfer coefficient of the tree-shaped bionic fins at the three rows of holes is most obviously improved, and the convective heat transfer coefficient of the three rows of holes is improved by 24.39% compared with that of the tree-shaped bionic fins without the holes, as shown in table 5. The method has the advantages that natural convection and heat conduction synergism can be enhanced in the tree-shaped bionic fin openings, so that the convection heat exchange of the phase-change heat exchanger is improved, and the thermal hysteresis of the heat exchange of the phase-change heat exchanger and the phase-change material is reduced. Compared with the tree-shaped bionic fin without holes, the tree-shaped bionic fin with holes has the obvious advantages of reducing consumable materials, reducing the cost of the phase-change heat exchanger and improving heat storage capacity, so that the influence of thermal hysteresis on the phase-change heat exchanger is reduced, the overall heat exchange performance of the phase-change heat exchanger is improved better, and the application range is wider.
Table 5 effect of open cell convective heat transfer coefficient:
。
while the application has been described with respect to what is presently considered to be the most practical and preferred embodiments, it is to be understood that the application is not limited to the disclosed embodiments, but on the contrary, is intended to cover various modifications, equivalents, and alternatives falling within the spirit and scope of the application.

Claims (10)

1. The horizontal phase change heat storage device with the treelike bionic fins is characterized by comprising a hot water pipe (1), wherein a plurality of treelike bionic fins for radiating heat are uniformly arranged on the circumference of the hot water pipe (1);
the tree-shaped bionic fin comprises a first branch (2), a second branch (3) and a third branch (4) which are connected in sequence; the first branch (2) is connected with the hot water pipe (1);
the first branch (2), the second branch (3) and the third branch (4) are respectively provided with a first branch opening (5), a second branch opening (6) and a third branch opening (7).
2. The horizontal phase change thermal storage device with open-pore tree-shaped bionic fins according to claim 1, characterized in that the second branches (3) are arranged at least twice as branch branches compared to the first branches (2).
3. The horizontal phase change thermal storage device with open-pore tree-shaped bionic fins according to claim 1, characterized in that the third limb (4) is arranged at least twice as branch branches compared to the second limb (3).
4. The horizontal phase change heat storage device with the open-pore tree-shaped bionic fins according to claim 1, wherein the first branch (2), the second branch (3) and the third branch (4) are mutually provided with set angles.
5. The horizontal phase change thermal storage device with the open-pore tree-shaped bionic fins according to claim 1, wherein the widths of the first branch (2), the second branch (3) and the third branch (4) are arranged in a decreasing manner.
6. The horizontal phase change heat storage device with the perforated tree-shaped bionic fin according to claim 1, wherein the first branch openings (5), the second branch openings (6) and the third branch openings (7) are all multiple, and the hole pitches of the first branch openings (5), the second branch openings (6) and the third branch openings (7) are different.
7. The horizontal phase change thermal storage device with the open-pore tree-shaped bionic fin according to claim 1, wherein the diameters of the first branch open pore (5), the second branch open pore (6) and the third branch open pore (7) are different.
8. A design method of a horizontal phase change heat storage device with an open-pore tree-shaped bionic fin, which is characterized by being applied to the horizontal phase change heat storage device with the open-pore tree-shaped bionic fin according to any one of claims 1 to 7, and comprising the following steps:
analyzing the influence of design variables on the single factor and the multi-factor of the replacement heat of the phase change heat storage device and the consumable material by using computational fluid dynamics software through a response surface method, establishing mathematical association, and obtaining a simulation model of the horizontal phase change heat storage device with the treelike bionic fins; the variables include the diameter of the holes, the diameter spacing and the number of the holes.
9. The method for designing a horizontal phase change thermal storage device with an open-pore tree-shaped bionic fin according to claim 8, wherein the calculation method using computational fluid dynamics software comprises:
PCM phase change for open-pore tree fin heat exchangersEnthalpy of material, solid phase zone, paste zone, liquid phase zoneDifferent from each other, the solid phase zone has only sensible heat, the liquid phase zone and the paste phase zone have enthalpy +>At the same time have sensible heat and latent heat->The enthalpy expressions of the solid phase region, the liquid phase region and the pasty region are respectively as follows:
；
；
in the method, in the process of the application,enthalpy of solid phase region, ++>Enthalpy for liquid and paste zone, +.>For temperature, < >>For reference temperature->For constant pressure specific heat->Is a differential sign ++>Is the latent heat of phase change of the PCM;
for pasty zones, liquid fraction is introducedCharacterizing the volume fraction of the PCM liquid phase in the pasty region, wherein the liquid fraction +.>The definition is as follows:
；
in the method, in the process of the application,is PCM solid phase temperature, +.>For PCM liquidus temperature, +.>Is the temperature;
after the liquid phase ratio is introduced, the enthalpy value in the equation is written into a unified mathematical expression:
；
for the natural convection of the liquid phase-change material, when the thermal fluid behavior of the phase-change material in the heat exchanger is subjected to numerical simulation, the control equation used, namely the equation Cheng Ruxia of continuity, momentum and energy:
the continuity equation is:
；
the momentum equation is:
；
；
the energy equation is:
；
in the method, in the process of the application,for advection transport of latent heat, +.>For the velocity in the x-direction in three-dimensional coordinates, +.>For y-direction velocity in three-dimensional coordinates, +.>For density (I)>Is a thermal expansion coefficient>For dynamic viscosity>Is heat capacity, is->Is of heat conductivity>For pressure->For enthalpy of，/>For the total speed in the x direction of the three-dimensional coordinate, +.>The total speed in the y direction of the three-dimensional coordinate;
momentum sinkAnd->The expression is as follows:
；
；
in the method, in the process of the application,is pasty area constant, ++>Is a parameter for avoiding division by zero, < >>For developing enthalpy->Is latent heat;
taking into account the influence of natural convection, it is unavoidable, especially in the melting process, to use a Boussinesq approximation model; in this model, the fluid density is assumed to be constant, except for the momentum equation term, which is considered a function of temperature based on the following expression:
；
；
in the method, in the process of the application,is the density of the liquid phase change material->Is solid phase temperature line temperature, ">Is liquidus temperature line temperature.
10. The method for designing a horizontal phase change thermal storage device with an open-pore tree-shaped bionic fin according to claim 8, wherein the response surface method uses a completely rotatable center synthesis design CCD, which comprises 4 factors, 5 levels, and finally 26 cases, which comprise 2 center points, 16 fractional factorial points and 8 star points; the response surface quadratic polynomial used is expressed as:
；
in the method, in the process of the application,is the variable number->Is a coefficient of->And->Respectively isResponses and factors;
obtaining mathematical relations among the heat exchange quantity S1, the consumable S2, the opening diameter A, B, C and the number D of the openings through fitting; the correlation formula fitted to the heat exchange amount and the consumable material respectively by using the response surface method is as follows:
the heat exchange formula is:
S1=0.795013-0.00386×A-0.000353×B-0.000731×C-0.00027×D+0.000112×A×B-0.000026×A×C+0.00005×A×D+0.000014×B×C+0.00005×B×D+0.000106×C×D+0.000039×A 2 -0.00000004075×B 2 +0.000067×C 2 -0.000000719437×D 2
the correlation coefficient of the formula is 0.9692;
the consumable formula is:
S2=1.03884+0.003729×A+0.003982×B+0.00568×C+0.002175×D-0.00069×A×B+0.000145×A×C-0.000476×A×D-0.000151×B×C-0.000315×B×D-0.000716×C×D-0.00031×A 2 -0.000283×B 2 -0.000538×C 2 +0.000042×D 2
the correlation coefficient of the above formula is 0.9896.
CN202311041101.9A 2023-08-18 2023-08-18 Horizontal phase change heat storage device with treelike bionic fins and design method Active CN116753761B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202311041101.9A CN116753761B (en) 2023-08-18 2023-08-18 Horizontal phase change heat storage device with treelike bionic fins and design method

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202311041101.9A CN116753761B (en) 2023-08-18 2023-08-18 Horizontal phase change heat storage device with treelike bionic fins and design method

Publications (2)

Publication Number Publication Date
CN116753761A true CN116753761A (en) 2023-09-15
CN116753761B CN116753761B (en) 2023-11-14

Family

ID=87957609

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202311041101.9A Active CN116753761B (en) 2023-08-18 2023-08-18 Horizontal phase change heat storage device with treelike bionic fins and design method

Country Status (1)

Country Link
CN (1) CN116753761B (en)

Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE839507C (en) * 1942-12-29 1952-05-19 Brown Finned tube heat exchanger
CN104154788A (en) * 2014-08-14 2014-11-19 东南大学 Heat pipe type solid-liquid phase transition heat accumulator
CN106484968A (en) * 2016-09-23 2017-03-08 西安交通大学 A kind of method for quick predicting of the heat exchange Correlations based on response surface
CN109737784A (en) * 2018-12-18 2019-05-10 东南大学 A kind of tree rib-pore network phase-change energy storage device
CN211012621U (en) * 2019-08-21 2020-07-14 扬州金圆化工设备有限公司 Fin structure for heat exchange equipment
CN113154922A (en) * 2021-04-27 2021-07-23 西安交通大学 Bionic phase-change energy-storage steam cavity module
CN216592932U (en) * 2022-01-24 2022-05-24 内蒙古工业大学 Branch type fin type phase change heat exchanger for heat exchange enhancement
CN115289889A (en) * 2022-06-24 2022-11-04 江苏科技大学 Irregular snowflake type fin phase change heat storage device

Patent Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE839507C (en) * 1942-12-29 1952-05-19 Brown Finned tube heat exchanger
CN104154788A (en) * 2014-08-14 2014-11-19 东南大学 Heat pipe type solid-liquid phase transition heat accumulator
CN106484968A (en) * 2016-09-23 2017-03-08 西安交通大学 A kind of method for quick predicting of the heat exchange Correlations based on response surface
CN109737784A (en) * 2018-12-18 2019-05-10 东南大学 A kind of tree rib-pore network phase-change energy storage device
CN211012621U (en) * 2019-08-21 2020-07-14 扬州金圆化工设备有限公司 Fin structure for heat exchange equipment
CN113154922A (en) * 2021-04-27 2021-07-23 西安交通大学 Bionic phase-change energy-storage steam cavity module
CN216592932U (en) * 2022-01-24 2022-05-24 内蒙古工业大学 Branch type fin type phase change heat exchanger for heat exchange enhancement
CN115289889A (en) * 2022-06-24 2022-11-04 江苏科技大学 Irregular snowflake type fin phase change heat storage device

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
宋新南;柯彬彬;耿亚峰;朱秋烨;: "翅片管外相变材料熔化过程的数值模拟", 江苏大学学报(自然科学版), no. 01, pages 37 - 41 *

Also Published As

Publication number Publication date
CN116753761B (en) 2023-11-14

Similar Documents

Publication Publication Date Title
Yu et al. Charging performance optimization of a latent heat storage unit with fractal tree-like fins
Zhao et al. Topology optimization of fins for energy storage tank with phase change material
Huang et al. Performance investigation of a biomimetic latent heat thermal energy storage device for waste heat recovery in data centers
Liu et al. Optimizing heat-absorption efficiency of phase change materials by mimicking leaf vein morphology
Huang et al. Depth optimization of solidification properties of a latent heat energy storage unit under constant rotation mechanism
Zhu et al. Heat transfer enhancement technology for fins in phase change energy storage
Das et al. Role of distributed/discrete solar heaters during natural convection in the square and triangular cavities: CFD and heatline simulations
Abidi et al. Improving the thermal-hydraulic performance of parabolic solar collectors using absorber tubes equipped with perforated twisted tape containing nanofluid
Lan et al. Shape design for heat conduction problems using curvilinear grid generation, conjugate gradient, and redistribution methods
Lian et al. Numerical investigation on the performance of microencapsulated phase change material suspension applied to liquid cold plates
Hu et al. A comparison study on melting inside the rectangular and curved unit with a vertical heating wall
Koulali et al. CFD analysis of natural convection between two superposed fluids: Role of corrugated bottoms
Bo et al. Twisted-fin parametric study to enhance the solidification performance of phase-change material in a shell-and-tube latent heat thermal energy storage system
Abhinand et al. Performance analysis of PCM melting in a fin-assisted thermal energy storage system–a numerical study
CN116753761B (en) Horizontal phase change heat storage device with treelike bionic fins and design method
Khedher et al. Comprehensive analysis of melting enhancement by circular Y-shaped fins in a vertical shell-and-tube heat storage system
Fathi et al. Numerical study for the tube rotation effect on melting process in shell and tube latent heat energy storage lhes system
Ghasemi et al. A novel numerical study on the melting process of phase change materials in a heat exchanger for energy storage
Arıcı et al. Implications of boundary conditions on natural convective heat transfer of molten phase change material inside enclosures
Bejan et al. Preliminary numerical studies conducted for the numerical model of a real transpired solar collector with integrated phase changing materials
CN110360865B (en) Fin type combined phase-change material heat storage ball
Chochowski et al. The use of thermal-electric analogy in solar collector thermal state analysis
Zağlanmış et al. Thermal analysis of phase changing material in heat exchanger
Ramiar et al. Thermal performance optimization of a sinusoidal wavy channel with different phase shifts using artificial bee colony algorithm
CN114580222B (en) High-speed transient thermal simulation method and system for electronic device

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant