Accession Number : AD0617330

Title :   THE SOLUTION OF A CLASS OF TWO-DIMENSIONAL MELTING AND SOLIDIFICATION PROBLEMS.

Descriptive Note : Technical rept.,

Corporate Author : COLUMBIA UNIV NEW YORK INST OF FLIGHT STRUCTURES

Personal Author(s) : Sikarskie,David L. ; Boley,Bruno A.

Report Date : MAY 1964

Pagination or Media Count : 73

Abstract : Two-dimensional melting and solidification problems are divided into three convenient classes and a general method of solution for one of these is presented. The concept is used of a fictitious body of constant geometry, in which is embedded the real body (whose dimensions are changing due to the change in phase); the fictitious body is acted upon by a fictitious heat flux or (in some problems) a fictitious initial temperature distribution. A set of integro-differential equations is presented to be solved simultaneously, numerically or in series form. The melting of a finite, insulated slab with the melt immediately removed is formulated and an example for a semi-infinite, insulated strip is given. The solidification of a finite insulated slab with zero superheat is formulated and an example for a specific cooling history is given. Two-dimensional effects are introduced by spatial variations of heating or cooling conditions, and short-time series solutions are developed. (Author)

Descriptors :   (*MELTING, ABLATION), (*CRYSTALLIZATION, COOLING), PHASE STUDIES, HEAT TRANSFER, THERMAL CONDUCTIVITY, DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE