Showing papers on "Stefan number published in 1993"
TL;DR: In this article, the melting of n- octadecane that is discretely heated at a constant rate from one side of an enclosure with inside dimensions of 100 mm × 60 mm × 50 mm was investigated experimentally.
70 citations
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
01 Jan 1993
TL;DR: In this paper, a generalized Lam� e-Clapeyron solution for a one-phase Stefan problem with a particular type of sources is presented, where necessary and sufficient conditions are given in order to characterize the source term which provides a unique solution.
Abstract: In this paper we obtain a generalized Lam� e-Clapeyron solution for a one-phase Stefan problem with a particular type of sources. Necessary and sufficient conditions are given in order to characterize the source term which provides a unique solution. Some estimates on the free boundary and the temperature are presented. In particular, asymptotic expansions are given for small Stefan number and source.
6 citations
TL;DR: The influence of the Stefan number on the one-dimensional fusion process caused by harmonic changes of the air temperature has been investigated in this paper, where analytical relations for zero and infinite Stefan number are compared with numerical results for an arbitrary Stefan number.