Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1140.80389
Myers, T.G.; Mitchell, S.L.; Muchatibaya, G.; Myers, M.Y.
A cubic heat balance integral method for one-dimensional melting of a finite thickness layer. (English)
[J] Int. J. Heat Mass Transfer 50, No. 25-26, 5305-5317 (2007). ISSN 0017-9310

Summary: The work in this paper concerns the one-dimensional melting of a finite thickness layer. An asymptotic series solution describes the temperature in the melt regions. In the solid region the thermal boundary layers are approximated by a cubic polynomial. Results are compared with the exact solution for a semi-infinite block, and shown to agree to within less than 1{\%}. The method is then applied to a situation where no analytical solution is available. A finite thickness frozen solid is placed on a warm substrate in a warm environment: initially the base of the solid heats to the melting temperature when a single melted region develops and subsequently a second melting front appears on the top boundary. We also present an example relevant to heating an ice layer from below, which occurs with de-icing systems.

MSC 2000:: *80A22 Stefan problems, etc.
80M25 Other numerical methods

Keywords: heat balance integral method; phase change

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]