THERMAL TRANSIENTS RESULTING FROM INSTANTANEOUS HEAT SOURCES IN A SOLID WITH THEMPERATURE DEPENDENT THERMAL PROPERTIES,

Abstract

The non-linear differential equation for heat conduction in a medium having temperature dependent thermal conductivity and heat capacity is solved numerically for an experimentally important case. This case is the liberation of heat by an instantaneous plane source in an infinite, linear solid whose thermal parameters are assumed to have the temperature dependence of real alloys at cryostatic temperatures. It is found that the temperature transients for this case do not differ substantially from those of a solid having temperature independence thermal parameters, if the heat source does not exceed a certain strength whose value is derived. This result provides the basis for easier quantitative calorimetry of instantaneous heat sources activated by disconinuous plastic flow in alloy/ at helium temperatures. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1963
Accession Number
AD0426235

Entities

People

  • James A. Jahoda
  • Joachim C. Erdmann

Organizations

  • Boeing

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Calorimetry
  • Conductivity
  • Differential Equations
  • Equations
  • Flow
  • Heat Capacity
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Physical Properties
  • Plastic Flow
  • Thermal Conductivity
  • Thermal Properties

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.
  • Powder metallurgy of Titanium alloys.