UPPER AND LOWER BOUNDS FOR THE SOLUTION OF A MELTING PROBLEM

Abstract

A slab, melting under an arbitrary heat input on one face and insulated on the other is studied. Variable material properties are taken into account. After preliminary general considerations, it is shown that the solution to the stated problem is unique. It is then proved that higher rates of melting and higher temperatures will result from higher heating rates; from this intuitively plausible results upper and lower bounds for the solution are easily constructed. An example is worked out in detail. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1962
Accession Number
AD0276024

Entities

People

  • Bruno A. Boley

Organizations

  • Columbia University

Tags

Fields of Study

  • Mathematics

Readers

  • Operations Research
  • Thermal Physics or Thermal Science.

Technology Areas

  • Microelectronics