TEMPERATURE RESPONSE OF AN INFINITE FLAT PLATE WITH UNSYMMETRICAL BOUNDARY CONDITIONS

Abstract

Exact solutions for the transient temperature distribution and the stored energy in an infinite plate of finite thickness are presented for the case of different convective environments at each face of the plate. The solution is general and contains numerous limiting cases, including that of steady state. Eigenvalues are given for many combinations of the system Biot numbers for the initial response period. An example is presented to illustrate the application of the solution to the practical problem of a rocket engine diffuser.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1967
Accession Number
AD0644624

Entities

People

  • F. H. Smith Jr.
  • L. J. Ybarrondo

Organizations

  • Arnold Engineering Development Complex

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Contracts
  • Differential Equations
  • Diffusers
  • Eigenvalues
  • Engineering
  • Environment
  • Equations
  • Heat Transfer
  • Heat Transfer Coefficients
  • Mathematical Models
  • Rocket Engines
  • Rockets
  • Steady State
  • Thermal Conductivity
  • Thermal Diffusivity
  • Thickness

Fields of Study

  • Mathematics

Readers

  • Combustion and Flow Dynamics.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering