Transient Surface Heating of Large Solids Subject to Surface Heat Loss,

Abstract

Attention is focused on two classes of problems for the heating of semi-infinite solids subject to surface heat loss governed by Newton's Law of Cooling. A solution in the form of a definite integral is obtained for time independent sources having circular symmetry and for sources having symmetry about a line on the surface. These transient solutions generalize and extend a number of special case results previously described in the literature. For a uniform strip source, a steady state solution in the form of tabulated functions is obtained which is valid for all values of the space coordinates. Extensive graphs are included depicting the behavior of the dimensionless temperature as a function of the various dimensionless parameters for several of the most commonly used source functions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1970
Accession Number
AD0715954

Entities

People

  • Harold J. Breaux

Organizations

  • Ballistic Research Laboratory

Tags

DTIC Thesaurus Topics

  • Cooling
  • Heat Loss
  • Integrals
  • Losses
  • Steady State
  • Symmetry

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Fluid Mechanics and Fluid Dynamics.
  • Theoretical Analysis.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster