This volume of papers has been produced in memory of Professor R.R. Gilpin, who was a pioneer in the field of freezing phenomena in ice-water systems. The subject has applications in ice formation in industrial plants, technologies for manufacturing crystals in space for semiconductors and computer chips and atmospheric physics and geophysics.

This volume provides a comprehensive overview on the vast amount of literature on solidification heat transfer. Chapter one develops important basic equations and discusses the validity of considering only conductive heat transfer, while ignoring convection, in the large class of materials which make up the porous media. Chapters 2 to 4 deal with problems that can be expressed in plane (Cartesian) coordinates. These problems are further divided into boundary conditions of temperature, prescribed heat flux, and surface convection. Chapter 5 examines some plane geometries involving three-dimensional freezing or thawing. Problems in the cylindrical and spherical coordinate systems are covered in chapters 6 and 7. Chapter 8 is an introduction to solidification in porous media.Many of the applications have been directed to water/ice soil-systems, but it should be clear that the basic techniques and solutions can be applied to such diverse areas as metallurgy, biological systems, latent heat storage, and the preservation of food.

This 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. It is aimed at graduate students, researchers, and practicing engineers in heat transfer, materials processing, multiphase systems, energy conservation, metallurgy, microelectronics, and cryosurgery.

Freezing of water or melting of ice are phenomena that underlie many important scientific and engineering studies of cold regions. Mathematical methods of treating these phase-change heat transfer problems are critical to understanding and dealing with the problems that freeze-thaw causes. While convection may be an important heat transfer mode, it can often be neglected without significant error. This report deals only with problems for which conduction is the basic heat transfer mode or for which the solutions can be obtained in terms of conduction-like problems. Where possible, exact solutions are presented, but since these are quite limited for phase-change problems, approximate solutions are examined in some detail. The approximate methods are 1) the perturbation method, which leads to quasi-stationary techniques, 2) the heat balance integral method, and 3) Biot's variational principle. THe theory associated with these methods is discussed in the appendixes. THe available exact solutions are derived and explained. Graphical solutions are used to generate design curves-such as those for phase-change depth, temperature, and heat flow vs time. The results are presented so as to be easily accessible to practicing engineers without recourse to elaborate calculations. This is especially true for application to soil systems. Keywords: Conduction, Freezing, Heat transfer, Melting, Phase change, Thawing. (mjm).

This beginning graduate text is the first comprehensive work on latent heat transfer. It covers all forms: evaporation, sublimation, melting, condensation, freezing, and deposition. Throughout the book there is emphasis on the fundamentals that apply to both industrial and environmental processes. Three introductory chapters on the history and significance of thermodynamics and fluid mechanics are followed by self-contained treatments of solidification, fluidification, condensation, evaporation and boiling. The final chapter includes worked examples. Overall, the book provides insight for graduate students in engineering.