SOME ASPECTS OF SURFACE TEMPERATURES OF SOLIDS WITH ROUGH SURFACES IN SLIDING CONTACT.

Abstract

Steady-state solution of the heat equation is obtained for a truncated right circular cone with rotationally symmetrical heat input over the truncated surface and the remaining surfaces insulated. Average surface temperatures are computed for truncated cones of various opening angles. Assuming, in the first approximation, that truncated cones simulate surface asperities, then the solution may be used to give a measure of the correction factor for temperatures calculated using smooth surfaces, to give temperatures for rough surfaces. Also transient solutions of the heat equation are presented for stationary and moving bodies, respectively, with heat input considered as a simple discrete stochastic process in time and space. Numerical results show the maximum surface temperature flashes may be higher than the average surface temperature by a factor of 6. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1964
Accession Number
AD0613167

Entities

People

  • F. F. Ling
  • S. L. Pu

Organizations

  • Rensselaer Polytechnic Institute

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mathematics
  • Partial Differential Equations
  • Sliding
  • Sliding Contacts
  • Stationary
  • Steady State
  • Stochastic Processes
  • Surface Temperature

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Fluid Dynamics.
  • Thermal Physics or Thermal Science.

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