Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions

29Citations
Citations of this article
25Readers
Mendeley users who have this article in their library.

Abstract

In Voller, Swenson and Paola [V.R. Voller, J.B. Swenson, C. Paola, An analytical solution for a Stefan problem with variable latent heat, Int. J. Heat Mass Transfer 47 (2004) 5387-5390], and Lorenzo-Trueba and Voller [J. Lorenzo-Trueba, V.R. Voller, Analytical and numerical solution of a generalized Stefan problem exhibiting two moving boundaries with application to ocean delta formation, J. Math. Anal. Appl. 366 (2010) 538-549], a model associated with the formation of sedimentary ocean deltas is studied through a one-phase Stefan-like problem with variable latent heat. Motivated by these works, we consider a two-phase Stefan problem with variable latent of fusion and initial temperature, and constant heat flux boundary conditions. We obtain the sufficient condition on the data in order to have an explicit solution of a similarity type of the corresponding free boundary problem for a semi-infinite material. Moreover, the explicit solution given in the first quoted paper can be recovered for a particular case by taking a null heat flux condition at the infinity. © 2010 Elsevier Inc.

Cite

CITATION STYLE

APA

Salva, N. N., & Tarzia, D. A. (2011). Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions. Journal of Mathematical Analysis and Applications, 379(1), 240–244. https://doi.org/10.1016/j.jmaa.2010.12.039

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free