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.


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    Title :

    Surface Heat Flux Prediction Through Physics-Based Calibration, Part 1: Theory


    Contributors:

    Published in:

    Publication date :

    2013-04-01




    Type of media :

    Conference paper , Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Surface heat flux prediction through physics-based calibration: part 1- theory

    Frankel, Jay / Keyhani, Majid / Elkins, Bryan | AIAA | 2012


    Surface Heat Flux Prediction Through Physics-based Calibration: Part 1-Theory

    Frankel, J. / Keyhani, M. / Elkins, B. et al. | British Library Conference Proceedings | 2012


    Surface Heat Flux Prediction Through Physics-Based Calibration, Part 2: Experimental Validation

    Elkins, Bryan S. / Keyhani, Majid / Frankel, Jay I. | AIAA | 2013


    Surface Heat Flux Prediction Through Physics-Based Calibration: Part 2-Experimental Validation

    Elkins, B. / Keyhani, M. / Frankel, J. et al. | British Library Conference Proceedings | 2012