Numerical study of melting in an enclosure with discrete protruding heat sources

Abstract In order to explore the capability of a solid–liquid phase change material (PCM) for cooling electronic or heat storage applications, melting of a PCM in a vertical rectangular enclosure was studied. Three protruding generating heat sources are attached on one of the vertical walls of the enclosure, and generating heat at a constant and uniform volumetric rate. The horizontal walls are adiabatic. The power generated in heat sources is dissipated in PCM (n-eicosane with the melting temperature, Tm = 36 °C) that filled the rectangular enclosure. The advantage of using PCM is that it is able to absorb high amount of heat generated by heat sources due to its relatively high energy density. To investigate the thermal behaviour and thermal performance of the proposed system, a mathematical model based on the mass, momentum and energy conservation equations was developed. The governing equations are next discretised using a control volume approach in a staggered mesh and a pressure correction equation method is employed for the pressure–velocity coupling. The PCM energy equation is solved using the enthalpy method. The solid regions (wall and heat sources) are treated as fluid regions with infinite viscosity and the thermal coupling between solid and fluid regions is taken into account using the harmonic mean of the thermal conductivity method. The dimensionless independent parameters that govern the thermal behaviour of the system were next identified. After validating the proposed mathematical model against experimental data, a numerical investigation was next conducted in order to examine the thermal behaviour of the system by analyzing the flow structure and the heat transfer during the melting process, for a given values of governing parameters.

[1]  Majid Keyhani,et al.  The Aspect Ratio Effect on Natural Convection in an Enclosure With Protruding Heat Sources , 1991 .

[2]  S. Krishnan,et al.  Analysis of a phase change energy storage system for pulsed power dissipation , 2004, IEEE Transactions on Components and Packaging Technologies.

[3]  Yuan Zhou,et al.  Experimental study of melting heat transfer in an enclosure with three discrete protruding heat sources , 1998 .

[4]  Marcel Lacroix,et al.  Melting from heat sources flush mounted on a conducting vertical wall , 2000 .

[5]  G. M. Rao,et al.  Laminar conjugate mixed convection in a vertical channel with heat generating components , 2007 .

[6]  Dengying Liu,et al.  Experimental study on melting in a rectangular enclosure heated below with discrete heat sources , 2001 .

[7]  T. E. Daubert,et al.  Physical and thermodynamic properties of pure chemicals : data compilation , 1989 .

[8]  Yogesh Jaluria,et al.  A COMPARISON OF DIFFERENT SOLUTION METHODOLOGIES FOR MELTING AND SOLIDIFICATION PROBLEMS IN ENCLOSURES , 1993 .

[9]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[10]  E. Dörre,et al.  Alumina: Processing, Properties, and Applications , 1984 .

[11]  Y. Ju,et al.  Numerical Simulation of Natural Convection in AN Enclosure with Discrete Protruding Heaters , 1996 .

[12]  Ephraim M Sparrow,et al.  Advances in Numerical Heat Transfer , 1996 .

[13]  Guy Lauriat,et al.  Natural convection air-cooling of a substrate-mounted protruding heat source in a stack of parallel boards , 2007 .

[14]  Frank P. Incropera,et al.  Liquid Cooling of Electronic Devices by Single-Phase Convection , 1999 .

[15]  Theodore J. Heindel,et al.  Laminar Natural Convection in a Discretely Heated Cavity: I—Assessment of Three-Dimensional Effects , 1995 .

[16]  Yuwen Zhang,et al.  Melting in an enclosure with discrete heating at a constant rate , 1993 .

[17]  Theodore J. Heindel,et al.  Conjugate natural convection from an array of discrete heat sources: Part 2 — A numerical parametric study , 1995 .

[18]  Yuwen Zhang,et al.  Analysis of melting in an enclosure with discrete heating at constant rate , 1994 .

[19]  R. D. Flack,et al.  The Experimental Measurement of Natural Convective Heat Transfer in Rectangular Enclosures with Concentrated Energy Sources , 1980 .

[20]  Chie Gau,et al.  Melting and solidification of a metal system in a rectangular cavity , 1984 .