## Mathematical Modeling Of Melting And Freezing ProcessesThis reference book presents mathematical models of melting and solidification processes that are the key to the effective performance of latent heat thermal energy storage systems (LHTES), utilized in a wide range of heat transfer and industrial applications. This topic has spurred a growth in research into LHTES applications in energy conservation and utilization, space station power systems, and thermal protection of electronic equipment in hostile environments. Further, interest in mathematical modeling has increased with the speread of high powered computers used in most industrial and academic settings. In two sections, the book first describes modeling of phase change processes and then describes applications for LHTES. |

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alloy assume assumptions boundary conditions classical solution conservation law Consider constant control volume convection convergence curve cylinder denotes dimensionless discrete effect enthalpy enthalpy scheme error EXAMPLE explicit solutions face Figure formulation freezing function heat balance heat conduction heat equation heat storage heat transfer coefficient Hence implicit scheme imposed flux imposed temperature initially solid input insulated interface conditions interface location iteration latent heat material MATHEMATICAL PROBLEM melt front melt temperature Tm melt-time mesh method mushy Neumann solution Newton nodes obtain one-phase parameters phase change phase change material phase-change processes physical PROBLEM 14 quasistationary approximation quasistationary solution region resulting semi-infinite sensible heat similarity solution simulation solidification solidus specific heat Stefan Condition Stefan number Stefan Problem temperature profile time-step tion TL(t transfer fluid Trombe wall values variables void weak derivative weak formulation weak solution

### Popular passages

Page 311 - Analysis of two dimensional melting in rectangular enclosures in presence of convection' - A.Gadgil and D.Gcbin, J.Heat Transfer, ASME, Vol.106, pp. 20-26, 1984. tt. 'Photographic observaticn of the solid-liquid interface motion during melting of a solid heated from an isothermal vertical wall', NWHale and R.Viskanta.

Page 318 - A Heat Transfer Analysis of the Solidification of a Binary Eutectic System", J.

Page 317 - Some aspects of the computer simulation of conduction heat transfer and phase change processes, pp.

Page 317 - The Quasi-Stationary Approximation for the Stefan Problem with a Convective Boundary Condition, Int.

Page 318 - The Classical Field Theories" in Encyclopedia of Physics, ed. S. Flugge, 3/1, pp. 226-790, Springer- Verlag, New York (1960). TURLAND, BD AND RS PECKOVER, "The stability of planar melting fronts in 2-phase thermal Stefan problems,

Page 316 - Melt Time and Heat Flux for a Simple PCM Body," Solar Energy, Vol. 22, pp. 251-257. Solomon, AD, 1980, "On the Melting Time of a Simple Body with a Convection Boundary Condition," Letters in Heat and Mass Transfer, Vol.

Page 317 - APPROXIMATE ANALYSIS OF THE FORMATION OF A BUOYANT SOLID SPHERE IN A SUPERCOOLED MELT AD Solomon, DG Wilson, and V.

Page 319 - A Shortcoming of the Explicit Solution for the Binary Alloy Solidification Problem," Letters in Heat and Mass Transfer, Vol.