Transient Three-Dimensional Heat Conduction Computations Using Brian's Technique

Abstract

A transient three dimensional heat conduction code was developed using finite differences. A stability restriction on the time step was avoided using a technique proposed by Brain. Computations from the code were validated using both the explicit technique and an available closed from solution for small times. The maximum error was found to be within 0.019 percent for an 11 x 11 x 11 grid and time step of 17.117 seconds. The total CPU time to carry out the computations up to 3,600 seconds using brian's techniques was six times that required for the explicit technique with the same time step of 17.117 seconds. However, as the time step was increased without altering the heometry, the CPU time using Brian's technique decreased and was less than that used in the explicit technique for time steps larger than 110 seconds. The validated code was also used in the analysis of the transient thermal response of a component on an orbiting spacecraft. Keywords: Transient heat conduction; Stability solutions; Finite differences; Theses.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1988
Accession Number
ADA201918

Entities

People

  • John A. Watson

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Circular Orbits
  • Computer Programs
  • Energy
  • Energy Production
  • Energy Transfer
  • Engineering
  • Heat Flux
  • Heat Transfer
  • Heat Transfer Coefficients
  • Materials
  • Simultaneous Equations
  • Spacecraft
  • Spacecraft Components
  • Thermal Conductivity
  • Three Dimensional
  • Two Dimensional

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Computational Modeling and Simulation
  • Fluid Dynamics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster