Nonlinear, Rescaling-Based Inverse Heat Conduction Calibration Method and Optimal Regularization Parameter Strategy

作者: Y. Y. Chen , J. I. Frankel , M. Keyhani

DOI: 10.2514/1.T4572

关键词:

摘要: A novel surface heat flux calibration method applicable to nonlinear inverse conduction problems and a new strategy for obtaining an optimal regularization parameter independent of the technique are presented herein. For proposed integral equation, quasi-linearization equation is achieved through both time domain magnitude rescaling based on local temperature measurement. The problem then resolved in terms rescaled variables framework. has form Volterra first kind that relates net unknown their corresponding in-depth measurements during reconstruction tests. Because functional ill-posed, three different methods considered a...

参考文章(19)
J. Taler, A new space marching method for solving inverse heat conduction problems Forschung Im Ingenieurwesen-engineering Research. ,vol. 64, pp. 296- 306 ,(1999) , 10.1007/PL00010844
J.V. Beck, C.R. St. Clair, B. Blackwell, Inverse heat conduction John Wiley and Sons Inc.,New York, NY. ,(1985)
Helcio RB Orlande, Inverse heat transfer problems ,(1994)
Bryan S. Elkins, Majid Keyhani, Jay I. Frankel, Surface Heat Flux Prediction Through Physics-Based Calibration, Part 2: Experimental Validation Journal of Thermophysics and Heat Transfer. ,vol. 27, pp. 206- 216 ,(2013) , 10.2514/1.T3918
Jake Plewa, Bryan Elkins, M. Keyhani, Jay Frankel, Heat Transfer Analysis via Rate Based Sensors 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. ,(2012) , 10.2514/6.2012-810
O. R. Burggraf, An Exact Solution of the Inverse Problem in Heat Conduction Theory and Applications Journal of Heat Transfer. ,vol. 86, pp. 373- 380 ,(1964) , 10.1115/1.3688700
J.V. Beck, B. Blackwell, A. Haji-Sheikh, Comparison of some inverse heat conduction methods using experimental data International Journal of Heat and Mass Transfer. ,vol. 39, pp. 3649- 3657 ,(1996) , 10.1016/0017-9310(96)00034-8
Jean-Laurent Gardarein, Jean-Luc Battaglia, Stefan Löhle, Heat flux sensor calibration using noninteger system identification: Theory, experiment, and error analysis. Review of Scientific Instruments. ,vol. 80, pp. 025103- 025103 ,(2009) , 10.1063/1.3079328
J. I. Frankel, M. Keyhani, B. E. Elkins, Surface Heat Flux Prediction Through Physics-Based Calibration, Part 1: Theory Journal of Thermophysics and Heat Transfer. ,vol. 27, pp. 189- 205 ,(2013) , 10.2514/1.T3917