NDLI: Integral Method of Boundary Characteristics in Solving the Stefan Problem: Dirichlet Condition

Content Provider	Springer Nature Link
Author	Kot, V. A.
Copyright Year	2016
Abstract	The integral method of boundary characteristics is considered as applied to the solution of the Stefan problem with a Dirichlet condition. On the basis of the multiple integration of the heat-conduction equation, a sequence of identical equalities with boundary characteristics in the form of n-fold integrals of the surface temperature has been obtained. It is shown that, in the case where the temperature profile is defined by an exponential polynomial and the Stefan condition is not fulfilled at a moving interphase boundary, the accuracy of solving the Stefan problem with a Dirichlet condition by the integral method of boundary characteristics is higher by several orders of magnitude than the accuracy of solving this problem by other known approximate methods and that the solutions of the indicated problem with the use of the fourth–sixth degree polynomials on the basis of the integral method of boundary characteristics are exact in essence. This method surpasses the known numerical methods by many orders of magnitude in the accuracy of calculating the position of the interphase boundary and is approximately equal to them in the accuracy of calculating the temperature profile.
Starting Page	1289
Ending Page	1314
Page Count	26
File Format	PDF
ISSN	10620125
Journal	Journal of Engineering Physics and Thermophysics
Volume Number	89
Issue Number	5
e-ISSN	1573871X
Language	English
Publisher	Springer US
Publisher Date	2016-10-22
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	heat-conduction equation Stefan problem Dirichlet condition moving interphase boundary approximation identical equality Engineering Thermodynamics, Heat and Mass Transfer Thermodynamics Industrial Chemistry/Chemical Engineering Complex Systems Classical Mechanics
Content Type	Text
Resource Type	Article
Subject	Engineering Condensed Matter Physics

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