Numerical Solution of an Ill-Posed Problem Arising in Wind Tunnel Heat Transfer Data Reduction,

Abstract

This report documents a computer program which solves an improperly posed heat conduction problem arising in the measurement of heat transfer data in wind tunnel experiments. The mathematical model which is treated is one dimensional and assumes constant material properties. The computational approach is based on an adaptation of a method used by Alifanov to treat a similar problem. The Green's function for a well posed heat conduction problem is used to reduce the problem to a Volterra integral equation of the first kind. Tikhonov regularization techniques are then applied to compute stable approximate solutions. Numerical results for several cases typical of a class of wind tunnel experiments are presented.

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Document Details

Document Type
Technical Report
Publication Date
Dec 04, 1981
Accession Number
ADA117572

Entities

People

  • Andrew B. Wardlaw Jr.
  • John B. Bell

Organizations

  • Naval Ordnance Laboratory

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programs
  • Computers
  • Data Reduction
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Heat Flux
  • Heat Transfer
  • Integral Equations
  • Mathematical Models
  • Measurement
  • Physics Laboratories
  • Wind Tunnels

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Neural Network Machine Learning.