A Finite Element Approach for Multidimensional Inverse Heat Conduction

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 temperat...

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Main Authors: Coy, Edward, Bergkoetter, Matthew, Danczyk, Stephen, Felix, Edgar
Format: Report
Language:English
Subjects:
DETECTORS
DIGITAL SYSTEMS
EFFICIENCY
FINITE ELEMENT ANALYSIS
INVERSION
LIQUID PROPELLANT ROCKET ENGINES
Numerical Mathematics
REAL TIME
SIGNAL PROCESSING
THERMAL BOUNDARY LAYER
THERMAL CONDUCTIVITY
Thermodynamics
WUAFRL50260548
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creator Coy, Edward
Bergkoetter, Matthew
Danczyk, Stephen
Felix, Edgar
description 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 will be applied to a study of the injector-wall interactions in a laboratory scale liquid rocket engine. Presented at the AIAA Aerospace Sciences Meeting held in Nashville, TN on 4-9 January 2012.
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source DTIC Technical Reports
subjects DETECTORS
DIGITAL SYSTEMS
EFFICIENCY
FINITE ELEMENT ANALYSIS
INVERSION
LIQUID PROPELLANT ROCKET ENGINES
Numerical Mathematics
REAL TIME
SIGNAL PROCESSING
THERMAL BOUNDARY LAYER
THERMAL CONDUCTIVITY
Thermodynamics
WUAFRL50260548
title A Finite Element Approach for Multidimensional Inverse Heat Conduction
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