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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Bibliographic Details
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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Summary: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.