SOLUTION OF TRANSIENT HEAT TRANSFER PROBLEMS FOR FLAT PLATES, CYLINDERS, AND SPHERES BY FINITE-DIFFERENCE METHODS

Abstract

This report presents finite-difference (forward) heat transfer equations applicable to transient, radial heat flow in spheres and cylinders and applicable to transient, one-dimensional heat flow in flat plates. By minor manipulations, a single heat transfer procedure can be utilized easily to determine the transient heat flow in all three basic structure configurations. For each skin configuration the accuracy of the finite-difference procedure, compared with exact analytical methods, depends on optimum selection of the calculation time increment and the incremental distance between temperature nodes in relation to the material thermal properties and on the closeness of the approximate temperature gradients to the true gradients.

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Document Details

Document Type
Technical Report
Publication Date
Mar 15, 1965
Accession Number
AD0461662

Entities

People

  • R. Eppes Jr.
  • W. G. Burleson

Organizations

  • United States Army Aviation and Missile Command

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Aerodynamic Heating
  • Energy
  • Energy Transfer
  • Equations
  • Heat Balance
  • Heat Energy
  • Heat Transfer
  • Heat Transfer Coefficients
  • Heat Transmission
  • Isotherms
  • Materials
  • Reinforced Plastics
  • Solid Propellants
  • Temperature Gradients
  • Thermal Properties
  • Thermodynamics
  • Walls

Readers

  • Explosive Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)