Nonlinear Inverse Heat Transfer Calculations in Gun Barrels.

Abstract

We consider the problem of determining the temperature history inside a gun barrel from embedded thermocouple measurements at some distance away from the inside wall. This inverse problem leads to an improperly posed initial value problem for a nonlinear system of partial differential equations, whenever the thermal properties are temperature dependent. We discuss a step-by-step marching algorithm for the numerical computation of such problems. The scheme is stabilized by appropriately filtering in the frequency domain at each step. We illustrate this technique with a numerical experiment on a nonlinear problem whose exact solution is known. The basic ideas are applicable to other unstable evolution equations.

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Document Details

Document Type
Technical Report
Publication Date
Jul 15, 1983
Accession Number
ADA130809

Entities

People

  • Alfred S. Carasso

Organizations

  • National Institute of Standards and Technology

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Computational Science
  • Computations
  • Differential Equations
  • Equations
  • Fluid Mechanics
  • Frequency
  • Frequency Domain
  • Gun Barrels
  • Guns
  • Heat Transfer
  • Integral Equations
  • Inverse Problems
  • Mathematics
  • Partial Differential Equations
  • Temperature Gradients

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Control Systems Engineering.
  • Operations Research