Abstract: The study of conductive heat transfer with phase change — often called the Stefan problem — includes some of the most intractable mathematical areas of heat transfer. Exact solutions are ...

Abstract: The heat transfer problem for cylinders embedded in a medium with variable thermal properties cannot be solved exactly if phase change occurs. Approximate solutions have been found using the ...

Abstract: Exact solutions to problems of conductive heat transfer with solidification are rare due to the nonlinearity of the equations. The heat balance integral technique is used to obtain an approximate ...

Abstract: An approximate solution to the Neumann problem has been obtained by using the heat balance integral method. The accuracy of the solution is shown to be very good for all practical soil system ...

Abstract: Heat transfer with change of phase (freezing or melting) is important in numerous scientific and engineering applications. Since the pioneering works of Neumann and Stefan, a number of analytical ...