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Journal ArticleDOI

Approximations for conduction with freezing or melting

Stuart W. Churchill, +1 more
- 01 Nov 1977 - 
- Vol. 20, Iss: 11, pp 1251-1253
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This article is published in International Journal of Heat and Mass Transfer.The article was published on 1977-11-01. It has received 22 citations till now.

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Citations
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Journal ArticleDOI

Finite difference solution of one-dimensional Stefan problem with periodic boundary conditions

Svetislav Savović, +1 more
- 01 Jul 2003 - 
TL;DR: In this paper, a finite difference method is used to solve the one-dimensional Stefan problem with periodic Dirichlet boundary condition, and the temperature distribution, position of the moving boundary and its velocity are evaluated.
Journal ArticleDOI

Spherical solidification by the enthalpy method and the heat balance integral method

James Caldwell, +1 more
- 01 Jan 2000 - 
TL;DR: In this paper, a numerical scheme based on the enthalpy method is applied to spherical solidification, which provides a means to track the position of the phase front with very little extra effort.
Journal ArticleDOI

Solidification of a liquid about a cylindrical pipe

Graham E. Beli
- 01 Dec 1979 - 
TL;DR: In this article, the temperature distribution and the rate of removal of heat by a coolant are predicted for the process of solidification of a liquid about a cold, isothermal pipe.
Journal ArticleDOI

Numerical solutions of the stefan problem by the enthalpy method and the heat balance integral method

James Caldwell, +1 more
- 01 Jan 1998 - 
TL;DR: A novel enthalpy formulation is applied to the Stefan problem in various types of domains, including cylindrical and spherical geometries, annuli, and two-dimensional square domains as mentioned in this paper.
Journal ArticleDOI

Heat transfer—A review of 1977 literature

E. R. G. Eckert, +6 more
- 01 Oct 1978 - 
References
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Book

Conduction of Heat in Solids

H. S. Carslaw, +1 more
TL;DR: In this paper, a classic account describes the known exact solutions of problems of heat flow, with detailed discussion of all the most important boundary value problems, including boundary value maximization.
Journal ArticleDOI

Ueber die Theorie der Eisbildung, insbesondere über die Eisbildung im Polarmeere

J. Stefan
- 01 Jan 1891 - 
Journal ArticleDOI

A numerical solution of the multidimensional solidification (or melting) problem

Anastas Lazaridis
- 01 Sep 1970 - 
TL;DR: In this article, the authors developed a simple numerical technique with which to treat heat transfer problems involving a change of phase, which is nonlinear due to the conditions at the moving interface boundary surface.
Journal ArticleDOI

Heat Conduction With Melting or Freezing in a Corner

Kenneth A. Rathjen, +1 more
- 01 Feb 1971 - 
Book ChapterDOI

Heat Conduction or Diffusion With Change of Phase

S.G. Bankoff
- 01 Jan 1964 - 
TL;DR: In this paper, the authors studied the diffusion equation subject to a phase change at one boundary, provided simple boundary conditions of the first, second, or third kind are specified, and provided exact solutions regarding relative motion between the phases, ablating slabs, and growth of a vapor film.
Related Papers (5)

On the application of integral-methods to the solution of problems involving the solidification of liquids initially at fusion temperature

G. Poots
- 01 Jun 1962 - 

Coupled integral equation approach for solving melting or solidification

J. Mennig, +1 more
- 01 Aug 1985 - 

A refinement of the heat balance integral method applied to a melting problem

Graham E. Bell
- 01 Nov 1978 - 

Free and moving boundary problems

John Crank

Spherical solidification by the enthalpy method and the heat balance integral method

James Caldwell, +1 more
- 01 Jan 2000 -