A numerical analysis of solid–liquid phase change heat transfer around a horizontal cylinder

Abstract A numerical study is conducted to analyze the melting process around a horizontal circular cylinder in the presence of the natural convection in the melt phase. Two boundary conditions are investigated one of constant wall temperature over the surface of the cylinder and the other of constant heat flux. A numerical code is developed using an unstructured finite-volume method and an enthalpy porosity technique to solve for natural convection coupled to solid–liquid phase change. The validity of the numerical code used is ascertained by comparing our results with previously published results.

[1]  S. G. Rubin,et al.  A diagonally dominant second-order accurate implicit scheme , 1974 .

[2]  Marcel Lacroix,et al.  Numerical Simulation of Melting and Resolidification of a Phase Change Material Around Two Cylindrical Heat Exchangers , 1993 .

[3]  J. W. Ramsey,et al.  Melting about a Horizontal Row of Heating Cylinders , 1979 .

[4]  Kamal Abdel Radi Ismail,et al.  Melting of PCM around a horizontal cylinder with constant surface temperature , 2003 .

[5]  Numerical modeling of double-diffusive convection in ice slurry storage tank , 2010 .

[6]  F. Durst,et al.  A numerical method to compute solidification and melting processes , 2007 .

[7]  K. Sasaguchi,et al.  Phase Change Heat Transfer During Melting and Resolidification of Melt Around Cylindrical Heat Source(s)/Sink(s) , 1989 .

[8]  Christophe Geuzaine,et al.  Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities , 2009 .

[9]  V. Voller.  FAST IMPLICIT FINITE-DIFFERENCE METHOD FOR THE ANALYSIS OF PHASE CHANGE PROBLEMS , 1990 .

[10]  Chie Gau,et al.  Melting and Solidification of a Pure Metal on a Vertical Wall , 1986 .

[11]  Vaughan R Voller,et al.  ENTHALPY-POROSITY TECHNIQUE FOR MODELING CONVECTION-DIFFUSION PHASE CHANGE: APPLICATION TO THE MELTING OF A PURE METAL , 1988 .

[12]  H. G. Landau,et al.  Heat conduction in a melting solid , 1950 .

[13]  J. Prusa,et al.  Melting Around a Horizontal Heated Cylinder: Part I—Perturbation and Numerical Solutions for Constant Heat Flux Boundary Condition , 1984 .

[14]  D. Spalding,et al.  A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows , 1972 .

[15]  Hans Beer,et al.  Analysis of the heat transport mechanisms during melting around a horizontal circular cylinder , 1982 .

[16]  Michael F. Malone,et al.  Analysis of Two-Dimensional Diffusion-Controlled Moving Boundary Problems , 1975 .

[17]  Sarah L. Mitchell,et al.  Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems , 2009, Appl. Math. Comput..

[18]  R. Viskanta,et al.  Heat transfer at the solid-liquid interface during melting from a horizontal cylinder , 1980 .

[19]  Tarik Kousksou,et al.  Numerical Simulation of Ice Melting Near the Density Inversion Point under Periodic Thermal Boundary Conditions , 2012 .

[20]  Svetislav Savović,et al.  Numerical solution of Stefan problem with time-dependent boundary conditions by variable space grid method , 2009 .

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