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Upper and Lower Bounds for the Solution of a Melting Problem

Bruno A. Boley

出版	Defense Technical Information Center, 1962
URL	http://books.google.com.hk/books?id=nr7D70TO8t0C&hl=&source=gbs_api

註釋

This paper presents several theorems concerning the problem of heat conduction in melting (or solidifying) slabs. The principal results are the establishment of a uniqueness theorem, and the development of a simple method for the construction of upper and lower bounds for the rate of melting and for the temperature. The problem considered is that of a slab, heated in an arbitrarily prescribed manner on one (moving) face and insulated on the other; the thermal properties are allowed to be temperature dependent. This problem may be taken to represent the case of a melting slab, with melted portion instantaneously removed.