A transformative methodology is presented for predicting surface heat fluxes based on interior temperature measurements. A physics-based calibration method is mathematically developed presently in the context of the linear heat equation and experimentally verified (in a later paper), indicating the merit and accuracy of the approach. Sensor characterization, sensor positioning, and thermophysical properties are inherently contained without being explicitly expressed in the final mathematical expression, relating the surface heat flux to interior temperature measurements. A unified theoretical basis is presently under development that encompasses one-, two-, and three-dimensional multiregion geometries possessing orthotropic thermophysical properties. Additionally, the mathematical formalism will recover either the local surface heat flux or total surface heat transfer. This paper represents the first presentation of the concept, illustrates its genesis, and presents insight toward developing a comprehensive unified analytic treatment for inverse heat conduction by physics-based calibration. Physics-based calibration makes use of the functional operator associated with diffusion theory and does not rely on identification. The companion paper will present experimental verification of the resulting mathematical relationship using an electrical heating setup. Highly favorable results verifying the formulation are reported in the companion paper.
Surface Heat Flux Prediction Through Physics-Based Calibration, Part 1: Theory
Journal of Thermophysics and Heat Transfer ; 27 , 2 ; 189-205
2013-01-24
17 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Surface Heat Flux Prediction Through Physics-based Calibration: Part 1-Theory
British Library Conference Proceedings | 2012
|Surface Heat Flux Prediction Through Physics-Based Calibration: Part 2-Experimental Validation
British Library Conference Proceedings | 2012
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