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On the application of perturbation to free-boundary problems in radial systems

✍ Scribed by L.M. Jiji

Publisher: Elsevier Science
Year: 1970
Tongue: English
Weight: 575 KB
Volume: 289
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(70)90271-1

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✦ Synopsis

A first-order perturbatiOn solution is obtain.ed to a circular free-boundary problem a88OCtited with phase transformation. The 801?ution describe8 the growth and decay of a solid layer during thermal interaction with a non-melting cylinder at sub-freezing temperature. The cy&inder, which. is initially at T,, is suddenly immer8ed in an infinite bath of liquid at tewqerature Ti with a freezing temperature T,. The perturbation solutiolk is compared with experim.ental da&z.

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## Abstract The existence of a weak solution of a two‐dimensional non‐stationary free‐boundary problem related to flame propagation is established. The main feature of the problem is that the nonlinear coupling of the two parabolic equations occur on the free boundary and has exponential growth.