Melting of an Infinite Solid with a Spherical Cavity.

Abstract

The embedding technique is employed to obtain the short time exact analytical solution for the melting or solidification of an infinite body with a spherical hole or a concentric hollow shere, with melting or solidification starting from the interior cavity. General cases of zero and infinite rates of ablation are considered, with particular emphasis on the Neumann problem and the case corresponding to a sudden rise of temperature. Numerical results are presented, and the validity and accuracy of the solutions are briefly discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1971
Accession Number
AD0730511

Entities

People

  • Yuen Fung Lee

Organizations

  • Cornell University

Tags

DTIC Thesaurus Topics

  • Ablation
  • Accuracy
  • Critical Temperature
  • Embedding
  • Glass Transition Temperature
  • Isothermal Processes
  • Solidification
  • Transition Temperature

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Powder metallurgy of Titanium alloys.