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Moving Boundary Problems Governed by Parabolic Equations

In: Group Invariance in Engineering Boundary Value Problems

Author

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  • R. Seshadri

    (Syncrude Canada Limited)

  • T. Y. Na

    (University of Michigan—Dearborn, Department of Mechanical Engineering)

Abstract

In order to carry out similarity analysis of moving boundary problems governed by parabolic partial differential equations, it is necessary to ascertain whether the speed of propagation of the moving boundary is infinite or finite. This can usually be accomplished by carefully investigating the physical formulation of the boundary value problem. For the purpose of similarity analysis, such problems can be classified into (1) problems that involve a change of phase, and (2) problems without a change of phase. It will be seen that in boundary value problems with a change of phase, the moving boundary would advance with a finite speed of propagation. However, the moving boundary could propagate with either infinite or finite speed in problems where no phase change is involved.

Suggested Citation

  • R. Seshadri & T. Y. Na, 1985. "Moving Boundary Problems Governed by Parabolic Equations," Springer Books, in: Group Invariance in Engineering Boundary Value Problems, chapter 0, pages 125-136, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-5102-6_7
    DOI: 10.1007/978-1-4612-5102-6_7
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