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):

Report Date:

1964-05-01

Pagination or Media Count:

73.0

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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE