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Exact solution of a Stefan problem in a nonhomogeneous cylinder

โœ Scribed by H.P.W. Gottlieb

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
496 KB
Volume
15
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

The exact solution is found for the Stefan problem of inwards freezing of a nonhomo geneous cylinder whose specific heat and latent heat depend upon the inverse square of the radial distance. The freezing time for the corresponding annular cylinder is found exactly. The validity of the pseudosteady-state approximation for the solvable cylinder problem is verified explicitly. It is argued that the exact solution for the solvable cylinder problem may be used as a small-time start-up solution for numerical procedures for general axi-symmetric cylinder problems and for general Stefan numbers.

๐Ÿ“œ SIMILAR VOLUMES

An exact solution of a limit case Stefan
An exact solution of a limit case Stefan problem governed by a fractional diffusion equation
โœ V.R. Voller ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 204 KB

An anomalous diffusion version of a limit Stefan melting problem is posed. In this problem, the governing equation includes a fractional time derivative of order 0 < b 6 1 and a fractional space derivative for the flux of order 0 < a 6 1. Solution of this fractional Stefan problem predicts that the