Topic
Stefan number
About: Stefan number is a research topic. Over the lifetime, 482 publications have been published within this topic receiving 32056 citations.
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TL;DR: In this paper, the authors considered the Dirichlet boundary conditions depending on a hysteresis functional where the free boundary is involved and proved the existence of a positive value T and a T-periodic solution of the Stefan problem, provided the Stefan number is sufficiently small.
Abstract: We consider the Stefan problem with Dirichlet boundary conditions depending on a hysteresis functional where the free boundary is involved. We show existence of a positive valueT and existence of aT-periodic solution of the problem, provided the Stefan number is sufficiently small and the hysteresis functional is described by the elementary rectangular hysteresis loop. If in addition the Preisach hysteresis operator is Lipschitz-continuous we prove that every periodic solution must be stationary.
19 citations
TL;DR: Two phase Stefan problem was solved using analytical method in cylindrical domain and eigen function expansion Method was compared with exact solution of Exponential Integral function method and results showed good agreement for Q = 1.
19 citations
TL;DR: In this article, a model considering solidification, multiphase convection, interfacial drag and sedimentation is used to simulate the flow field, temperature, species and solid fraction distribution.
19 citations
TL;DR: In this paper, the authors presented a Stefan problem including thermal conductivity and heat capacity as the functions of temperature at α = β, the exact solutions to the proposed problem are discussed for two different specific cases, i.e. m = n = 1 and m = N = 2, for the general case, estimation of the solution to the problem is deliberated with the help of shifted Chebyshev tau method.
19 citations
TL;DR: In this paper, the simulation results of a liquid drop solidifying on a cold plate in laminar forced convection by a front-tracking method that is combined with an interpolation technique to deal with the non-slip boundary condition at the solid surface were presented.
19 citations