A Finite Element Approach for Multidimensional Inverse Heat Conduction

Abstract

An efficient technique for mapping thermal boundary conditions is described and demonstrated. The technique is based on a piece-wise polynomial approximation where the Laplacian derivatives in space are constrained using the heat equation. Measured values for the Laplacian are obtained from temperature rate measurements from sensors embedded within a body. The technique has been implemented in a digital signal processor and is able to provide real-time data on thermal boundary conditions over a surface. The technique is adaptable to complex geometry. In this paper the technique is applied to a study of the injector-wall interactions in a laboratory scale liquid rocket engine.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2012
Accession Number
ADA572067

Entities

People

  • Edgar Felix
  • Edward B. Coy
  • Matthew Bergkoetter
  • Stephen A. Danczyk

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Sensors
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Boundaries
  • Combustion Chambers
  • Engines
  • Equations
  • Frequency
  • Geometry
  • Heat Transfer
  • Heat Transmission
  • Injectors
  • Measurement
  • Rocket Engines
  • Rockets
  • Surface Temperature
  • Test Facilities
  • Thermal Diffusivity
  • Turbines

Readers

  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.
  • Image Processing and Computer Vision.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster