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2014, Journal of Heat Transfer
The main motivation of conducting this work is to present a rigorous analysis and investigation of the potential effect of the heat pipe adiabatic region on the flow and heat transfer performance of a heat pipe under varying evaporator and condenser conditions. A two-dimensional steady-state model for a cylindrical heat pipe coupling, for both regions, is presented, where the flow of the fluid in the porous structure is described by Darcy–Brinkman–Forchheimer model which accounts for the boundary and inertial effects. The model is solved numerically by using the finite volumes method, and a fortran code was developed to solve the system of equations obtained. The results show that a phase change can occur in the adiabatic region due to temperature gradient created in the porous structure as the heat input increases and the heat pipe boundary conditions change. A recirculation zone may be created at the condenser end section. The effect of the heat transfer rate on the vapor radial v...
Heat Transfer Engineering, 2018
The aim of this paper is to point out possible solutions to the further development of heat pipes by numerical modelling of phase-change heat transfer. Numerical modelling has now become a standard method that helps to reduce the economic costs of research and development of new and innovative devices. The article describes the procedures for using numerical simulation in phase-change heat transfer that occurs due to evaporation and condensation of the working fluid. The suggested procedure enables modelling of gravitational heat pipe under different changes in its geometry or under changes in the working fluid. From the simulation results we can find out how the heat pipe behaves under different geometric changes and how much heat output it transfers. The paper presents results obtained from modelling of heat pipes, such as classical gravitational heat pipe, heat pipe with capillary geometry and closed loop pulsating heat pipe. The results gathered from numerical simulation of heat pipes were compared with measurement results.
International Journal of Heat and Mass Transfer, 1999
This paper presents a two-dimensional analytical model for low-temperature cylindrical heat pipes. A closed-form solution which incorporates liquid±vapor interfacial hydrodynamic coupling and non-Darcian transport through the porous wick for the ®rst time, is obtained for predicting the vapor and liquid velocity and pressure distributions. In addition, the steady-state vapor and wall temperatures for a given input heat load in the evaporator region and a convective boundary condition in the condenser region, are obtained. The eects of liquid±vapor interfacial hydrodynamic coupling and non-Darcian transport through the porous wick on the vapor and liquid velocity and pressure distributions as well as the heat pipe capillary limit are discussed and assessed. The analytical solutions of the axial vapor and wall temperature distributions, the vapor and liquid pressure distributions, and the centerline vapor velocities compare very well with both experimental and numerical results. This work constitutes for the ®rst time a comprehensive analytical solution which provides closed form solutions for the vapor and liquid¯ow as well as the operating temperature and the maximum heat removal capability of the heat pipe. #
The steady two-dimensional flow of a horizontal heat pipe in vapor region is investigated numerically. For study of heat transfer and fluid flow behaviors of the heat pipe, the governing equations in vapor region have been solved using a finite difference method. The numerical results of heat transfer and fluid flow are presented for Reynolds numbers ranging of (Re =4, 10), the Prandtl number taken is (Pr=0.00368), and the pipe dimension is taken to be (L/R =5). The results show that the stream function at the wall increases linearly in the evaporator, decreases linearly in the condenser and is steady in the adiabatic region because of uniform inflow and outflow boundary conditions. Also, it can be seen that as the Reynolds number increases, the pressure distributions shift up without considerable change in their shapes. The numerical analysis have shown that for the low and moderate Reynolds number, the shear stress becomes zero at a point very close to the end of the condenser. For verification of current model, the results of stream function for a heat pipe have been compared with the previous study at the same boundary conditions and a good agreement has been noticed.
International Journal of Heat and Mass Transfer, 2019
A heat transfer analysis of phase change processes, combining boiling and condensation has been applied to a closed heat pipe. Experimental tests and numerical modeling have been carried out on U-type horizontal smooth heat pipe using R134a as working fluid. The pipe consists of a 180 mm evaporator, 280 mm adiabatic section and 180 mm long condenser. The heat pipe is fabricated from aluminum alloy and has a cross section of 25.5 mm and an outer radius of 33.6 mm. Tests have been conducted using a filling ratio of 50% and exposing the evaporator to different power inputs, ranging from 24 to 80 W. A numerical model has been developed with OpenFOAM to assess heat transfer processes during boiling and condensation. One of the most important challenges tackled with the numerical model is to consider both the coupled effect of boiling and condensation in a closed system. The numerical work has been validated by experimental results. It can be concluded that the model adequately predicts the phase changes characteristics at various operating conditions. In addition, a parametric analysis performed with numerical model is used to investigate the effect of independent parameters like heat input, filling ratio, diameter of tube and type of refrigerant on the equivalent thermal resistance, which is identified as heat pipe performance.
Advances in Intelligent Systems and Computing
The thermophysical properties of wick microstructures and heat interactions across the wick play a central role in heat pipe performance. It is therefore essential to analyse the wick microstructures. The performance of a cylindrical heat pipe with a screen mesh wick structure is analysed numerically using twodimensional, axisymmetric, and transient model. A fully implicit, structured collocated finite-volume scheme is used in conjunction with the SIMPLE algorithm to solve Navier-Stokes equations for both, liquid and vapour phases. Present model assumes the wick to be saturated with the liquid and a porous medium formulation is employed for the wick. The evaporation and condensation rates at the diphasic interface are determined using kinetic theory. The model is tested for time step independency and a parametric study is performed by varying the permeability of wick and heat input. The results presented are in good agreement with the data from the previous literature.
International Journal of Heat and Mass Transfer, 1996
In this work a pseudo-three-dimensional analytical model is developed for the steady incompressible vapor and liquid flow in an asymmetrical disk-shaped heat pipe. The hydrodynamic coupling of the vapor and liquid flow, the gravitational effects and the effects of non-Darcian transport through the porous wick are incorporated in the model, and the variations in upper and lower liquid velocity and pressure distributions are accounted for. The asymmetrical vapor and upper and lower liquid velocity profiles, the vapor and upper and lower liquid pressure distributions and the interface temperature distribution accounting for the vapor liquid coupling and the non-Darcian effects are obtained. The effects of the vapor-liquid coupling, upper and lower liquid velocity and pressure fields and boundary and inertia in altering the limiting heat pipe heat transfer performance are discussed and assessed. Finally, the analytical results are compared with the available experimental data and are found to be in good agreement. Copyright
Heat Transfer Engineering, 2005
A detailed description of a concentric annular heat pipe (CAHP) operation is presented in low to moderate temperature ranges (50-200 • C). The steady-state response of a CAHP to various heat fluxes in the evaporator and condenser sections are discussed. Two-dimensional mathematical modeling of the fluid flow and heat transfer in the annular vapor space and the wicks are described. The fundamental aspects and limitations of the operation of a CAHP are also discussed. Previously used numerical and experimental approaches for the analysis of the CAHPs and some related concepts are reviewed. The Navier-Stokes and similar equations are recommended for the simulation of fluid flow and heat transfer in the annular vapor space and the wicks. A number of important concepts, such as two-phase flow, heat transfer in the heat pipe wicks, the vapor-liquid interface conditions, design considerations, testing, and manufacture of a CAHP, are also briefly discussed. The results of this research have shown that the available numerical and experimental data in the literature are sufficiently accurate in many applications. However, new mathematical models and experimental works are needed for the better design and manufacture of various types of CAHPs.
Heat and Mass Transfer, 2006
A three-dimensional finite-element numerical model is presented for simulation of the steadystate performance characteristics of heat pipes. The mass, momentum and energy conservation equations are solved for the liquid and vapor flow in the entire heat pipe domain. The calculated outer wall temperature profiles are in good agreement with the experimental data. The estimations of the liquid and vapor pressure distributions and velocity profiles are also presented and discussed. It is shown that the vapor flow field remains nearly symmetrical about the heat pipe centerline, even under a non-uniform heat load. The analytical method used to predict the heat pipe capillary limit is found to be conservative.
International Journal of Heat and Mass Transfer, 2018
Heat pipes are efficient in transferring heat and have been applied in various thermal systems. Previous models of heat pipes use the heat rate through the pipe as an input parameter, and therefore lack predictive capabilities. Here, we demonstrate, using a simple heat pipe, that if the evaporation and condensing kinetics are properly modeled, then the heat rate is predicted. We consider a cylindrical heat pipe with the inner wall lined with a circular-capillary wick. The capillaries are filled with a partially wetting liquid, and the center of the pipe is filled with its vapor. Initially, the heat pipe is at temperature T 0 and the system is under thermodynamic equilibrium. Then, one end of the pipe is heated to T 0 + DT, while the other end cooled to T 0 À DT, and the system reaches a steady state. The equilibrium vapor pressure at the hot end is higher than that at the cold end, and this pressure difference drives a vapor flow. As the vapor moves, the vapor pressure at the hot end drops below the equilibrium vapor pressure which induces continuous evaporation from circular pores on the wick surface. At the cold end, the vapor pressure exceeds the equilibrium vapor pressure so that the vapor condenses and releases the latent heat. The condensate moves back to the hot end through the capillaries in the wick to complete a cycle. We assume that the pore size is infinitesimal compared with the pipe dimensions. Thus, pore-level events can be treated separately from pipe-level events. The evaporation rate in each pore is solved in the limit the evaporation number E ! 1, and an analytic leading-order solution is obtained, assuming DT/T 0 (1. The evaporation rate is incorporated into vapor-flow and energy-balance equations along the pipe. Two dimensionless numbers emerge from these equations: the heat pipe number, H, which is the ratio of heat transfer by vapor flow to conductive heat transfer in the liquid and wall, and the evaporation exponent, S, which controls the evaporation gradient along the pipe. We find that vapor-flow heat transfer dominates in heat pipes and H) S) 1. Under these conditions, the non-dimensionalized heat rate through the insulated pipe is found to be simply S. Analytic solutions are also obtained for the pipe temperature and all the other variables. For maximum evaporative heat transfer, we find an optimal pipe length for fixed pipe cross-sectional dimensions, and an optimal wick thickness for a fixed pipe length. These optimal pipe length and wick thickness can help to improve the design of heat pipes and are found for the first time.
2014
The application of heat exchanger are found in automobiles, power plants, refrigerators and air conditioners etc. The main objective of the work is to have material of the Heat Exchanger (Al & Cu), so that the heat transfer rate should be more and also deals with the pressure variations, velocity contours and temperature distributions. Two phase circular cross section geometry was developed in Gambit and Computational Fluid Dynamics calculations using K-Epsilon model were employed in Fluent software. This simulation gives the values of pressure, temperature, heat transfer rate and velocity at various sections of the pipe in which water as a fluid and air as coolant flowing out side. A comparison was made with Copper and Aluminium as the material of the pipe. The numerical results were validated against experimental data from the literature and were found to be good.
International Journal of Heat and Mass Transfer, 2020
In this article, two-phase flow in a double-pipe porous heat exchanger and associated phase change processes has been numerically analysed to investigate the impacts of the relative permeabilities. The modified h -formulation along with the assumption of Local Thermal Equilibrium condition has been employed. Finite Volume Method (FVM) has been used to discretise the governing equations. The solutions of incomplete evaporation process have been validated with the experiments and they show an excellent agreement between them. The pertinent parameters have been systematically investigated to demonstrate the importance of the above mentioned influences on the complete evaporation process. It has been observed that the power index of the relative permeabilities for either liquid or vapour region has a significant effects on the beginning and ending of phase change operation, especially when the steam is formed inside the pipe. Comparison between results obtained with maximum and minimum values of the power index indicated that the latter value must be used while simulating the complete evaporation process, particularly for very low inlet Reynolds number and very high wall temperature. It is also evident that the operating conditions and geometric parameters of the heat exchanger have been substantially changed the location of the beginning and ending of the phase change process. On the other hand, the properties of porous media have only minor influence.
Scientia Iranica, 2017
This paper developed a new mathematical model to investigate the heat transfer as well as wick's thickness of a heat pipe. The model was established by conservative equations of continuity, momentum, and energy in the thermal boundary layer. Using a similarity variable, the governing equations were changed to a set of ordinary di erential equations and were solved numerically by the forth-order Runge-Kutta method. The ow variables, such as velocity components, wick's thickness, and Nusselt number, were obtained. The results show that the Nusselt number is proportional to the square root of the Darcy-modi ed Rayleigh number and to the distance from the edge of the condenser surface. Furthermore, the thickness of the wick material depends on the Jakob number and is proportional to the heat transfer between the wall and liquid lm.
Applied Thermal Engineering, 2005
Heat pipes are two-phase heat transfer devices with extremely high effective thermal conductivity. They can be cylindrical or planar in structure. Heat pipes can be embedded in a metal cooling plate, which is attached to the heat source, and can also be assembled with a fin stack for fluid heat transfer. Due to the high heat transport capacity, heat exchangers with heat pipes have become much smaller than traditional heat exchangers in handling high heat fluxes. With the working fluid in a heat pipe, heat can be absorbed on the evaporator region and transported to the condenser region where the vapour condenses releasing the heat to the cooling media. Heat pipe technology has found increasing applications in enhancing the thermal performance of heat exchangers in microelectronics, energy and other industrial sectors. Utilisation of a heat pipe fin stack in the drying cycle of domestic appliances for heat recovery may lead to a significant energy saving in the domestic sector. However, the design of the heat pipe heat exchanger will meet a number of challenges. This paper presents a design method by using CFD simulation of the dehumidification process with heat pipe heat exchangers. The strategies of simulating the process with heat pipes are presented. The calculated results show that the method can be further used to optimise the design of the heat pipe fin stack. The study suggests that CFD modelling is able to predict thermal performance of the dehumidification solution with heat pipe heat exchangers.
Energy Conversion and Management, 2008
A numerical study of flow and heat transfer characteristics is made in a double pipe heat exchanger with porous structures inserted in the annular gap in two configurations: on the inner cylinder (A) and on both the cylinders in a staggered fashion (B). The flow field in the porous regions is modelled by the Darcy-Brinkman-Forchheimer model and the finite volume method is used to solve the governing equations. The effects of several parameters such as Darcy number, porous structures thickness and spacing and thermal conductivity ratio are considered in order to look for the most appropriate properties of the porous structures that allow optimal heat transfer enhancement. It is found that the highest heat transfer rates are obtained when the porous structures are attached in configuration B especially at small spacing and high thicknesses.
Foundation of Computer Applications, 2019
Gas-solid flows in vertical pipes are found in many industries for heat transfer applications. Some of them are chemical industries, food and process industries, pharmaceutical industries, etc. In the present paper, the two-fluid model (the Eulerian-Eulerian approach) of ANSYS FLUENT 15.0 is used to model the heat transfer in gas-solid flows in an adiabatic, vertical pipe. The variable gas properties with respect to temperature are considered in the current study. The computational results are well validated with the benchmark experimental data. The effect of particle diameter on heat transfer and pressure drop is studied. It is noticed that the gas temperature increases and the solid temperature decreases with increasing the particle diameter. Again, increasing the particle diameter increases the logarithmic mean temperature difference and pressure drop; however, it decreases the average gas-solid Nusselt number.
Journal of Fluids Engineering, 2004
A numerical method based on the SIMPLE algorithm has been developed for the analysis of vapor flow in a concentric annular heat pipe. The steady-state response of a concentric annular heat pipe to various heat fluxes in the evaporator and condenser sections are studied. The fluid flow and heat transfer in the annular vapor space are simulated using Navier-Stokes equations. The governing equations are solved numerically, using finite volume approach. The vapor pressure and temperature distributions along a concentric annular heat pipe are predicted for a number of symmetric test cases. The vapor flow reversal and transition to turbulence phenomena are also predicted. The results are compared with the available numerical data and have shown good agreement in all cases. Therefore, the vapor flow model developed in this paper has shown good accuracy and convergence behavior in the range of low to moderate radial Reynolds numbers.
The size of electronic devices are decreasing day by day and throwing challenges on thermal engineers to find and invent better means to challenge heat dissipation rates. This led to give rise to my idea of getting this work on Heat pipe. Heat pipes are promising means to drive the heat from the electronic devise to the environment without using mechanical devices to operate the flow in it. The factors effects the performance of Heat pipe are geometry design, number of evaporators and condensers, working fluid selection, by coating different coatings to increase adhesive nature between inner wall of pipe and working fluid etc.,In this thesis, Heat Pipe System with multiple evaporators will be designed and modelled in 3D modelling software Pro/Engineer. Heat transfer characteristics will be determined by CFD and transient thermal analysis. CFD analysis will be done to determine the heat transfer rate, pressure drop, mass flow rate, heat transfer coefficient with R134 and R410 as the working fluid. Transient thermal analysis will be done to determine heat transfer rate and temperature distribution
Applied Thermal Engineering, 2016
Heat and mass transfer with phase change in an evaporator unit cell is analysed using a mixed pore network model. Two different kind of wick are investigated: a monoporous capillary structure characterised by a monomodal pore size distribution and a bidispersed capillary structure characterised by a bimodal pore size distribution. The evaporator thermal performance, i.e. the conductance, and the overheating of the casing are compared at different heat loads with experimental results and show a good agreement. For a large range of flux, the bidispersed wick has higher thermal performance than the monoporous wick. A bidispersed wick prevents the overheating of the casing which is the most encountered limit in LHP application. The liquid-vapour phase distribution, as well as the vapour saturation and the vapour mass flow rate are investigated to explain these behaviours.
2014
Interest in the use of heat pipe technology for heat recovery and energy saving in a vast range of engineering applications has been on the rise in recent years. Heat pipes are playing a more important role in many industrial applications, particularly in improving the thermal performance of heat exchangers and increasing energy savings in applications with commercial use. In this paper, a comprehensive CFD modelling was built to simulate the details of the two-phase flow and heat transfer phenomena during the operation of a wickless heat pipe or thermosyphon, that otherwise could not be visualised by empirical or experimental work. Water was used as the working fluid. The volume of the fluid (VOF) model in ANSYS FLUENT was used for the simulation. The evaporation, condensation and phase change processes in a thermosyphon were dealt with by adding a user-defined function (UDF) to the FLUENT code. The simulation results were compared with experimental measurements at the same condition. The simulation was successful in reproducing the heat and mass transfer processes in a thermosyphon. Good agreement was observed between CFD predicted temperature profiles and experimental temperature data.
2007 Proceedings of the ASME InterPack Conference, IPACK 2007, 2007
A mathematical model predicting the oscillating motion in an oscillating heat pipe is developed. The model considers the vapor bubble as the gas spring for the oscillating motions including effects of operating temperature, non-linear vapor bulk modulus, and temperature difference between the evaporator and the condenser. Combining the oscillating motion predicted by the model, a mathematical model predicting the temperature drop between the evaporator and the condenser is developed including the effects of the forced convection heat transfer due to the oscillating motion, the confined evaporating heat transfer in the evaporating section, and the thin film condensation in the condensing section. In order to verify the mathematical model, an experimental investigation was conducted. Experimental results indicate that there exists an onset power input for the excitation of oscillating motions in an oscillating heat pipe, i.e., when the input power or the temperature difference from the evaporating section to the condensing section was higher than this onset value the oscillating motion started, resulting in an enhancement of the heat transfer in the pulsating heat pipe. Results of the investigation will assist in optimizing the heat transfer performance and provide a better understanding of heat transfer mechanisms occurring in the oscillating heat pipe.
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