The Application of Brian's Method to the Solution of Transient Heat Conduction Problems in Cylindrical Geometries

Abstract

A FORTRAN 77 computer code employing an adaptation of the finite differencing algorithm proposed by Brian was developed for the solution of transient heat conduction problems in cylindrical geometries. Validation of code was accomplished by comparison with an analytic solution derived for a model with symmetric, linear boundary conditions. Accuracy of results for asymmetric and non-linear boundary conditions was determined by comparison with a similarly validated code employing the explicit method. Code effectiveness was then demonstrated by conducting a transient temperature analysis for a simulated earth-orbiting satellite. Brian's method demonstrated unconditional stability with associated significant reductions in execution time compared to the explicit method. The effects of discretization error on the accuracy of results require further investigation. Brian's method, Finite difference analysis, Transient heat conduction, Cylinder, Cylindrical geometry, Theses.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1988
Accession Number
ADA205071

Entities

People

  • Karl R. Heinz

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • C Programming Language
  • Computer Programming
  • Computers
  • Energy
  • Energy Transfer
  • Equations
  • Geometry
  • Heat Balance
  • Heat Energy
  • Heat Transfer
  • Heat Transfer Coefficients
  • Mainframe Computers
  • Thermal Conductivity
  • Thermal Diffusivity
  • Thermodynamics
  • Three Dimensional

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Science.
  • Thermal Physics or Thermal Science.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster