Two Phase Stefan Problem with Boundary Temperature Conditions: an Analytical Approach

• Autores: Malik Mamode
• Localización: Siam journal on applied mathematics, ISSN 0036-1399, Vol. 73, Nº 1, 2013, págs. 460-474
• Idioma: inglés
• DOI: 10.1137/110852474
• Texto completo no disponible (Saber más ...)
• Resumen

  • A distributional formulation of a one-dimensional two phase Stefan problem in a finite domain, with arbitrary boundary temperature conditions, is proposed. It is shown that the solution is the sum of the temperature distribution in the absence of phase change and a temperature correction due to the phase change at the interface. Assuming that the speed of the moving boundary remains sufficiently small and slowly varying in time, an analytical approximate solution of the current Stefan problem may thus be constructed as a function of the boundary data