Inverse heat conduction problem: Sensitivity coefficient insights, filter coefficients, and intrinsic verification

作者: James V. Beck , Keith A. Woodbury

DOI: 10.1016/J.IJHEATMASSTRANSFER.2016.02.034

关键词:

摘要: Abstract The inverse heat conduction problem is the estimation of time and/or space dependence surface flux or temperature utilizing interior measurements at discrete times locations. This ill-posed since it very sensitive to omnipresent measurement errors. Many solution methods have been proposed including exact-matching, function specification, Tikhonov regularization, iterative conjugate gradient, steepest descent and singular value decomposition. In this paper, tools provided by scaled sensitivity coefficients, digital filter intrinsic verification are used investigate compare several these methods. utility filters designed for on-line instrumentation “continuous” in manufacturing settings also demonstrated.

参考文章(20)
J. V. Beck, Charles R. St. Clair, Ben Blackwell, Inverse Heat Conduction: Ill-Posed Problems ,(1985)
Helcio RB Orlande, Inverse heat transfer problems ,(1994)
O. M. Alifanov, S. V. Rumyantsev, One method of solving incorrectly stated problems Journal of Engineering Physics. ,vol. 34, pp. 223- 226 ,(1978) , 10.1007/BF00861246
Hamidreza Najafi, Keith A. Woodbury, James V. Beck, Ned R. Keltner, Real-time heat flux measurement using directional flame thermometer Applied Thermal Engineering. ,vol. 86, pp. 229- 237 ,(2015) , 10.1016/J.APPLTHERMALENG.2015.04.053
Keith A. Woodbury, James V. Beck, Heat conduction in a planar slab with power-law and polynomial heat flux input International Journal of Thermal Sciences. ,vol. 71, pp. 237- 248 ,(2013) , 10.1016/J.IJTHERMALSCI.2013.04.009
Y. Jarny, M.N. Ozisik, J.P. Bardon, A General Optimization Method using Adjoint Equation for Solving Multidimensional Inverse Heat Conduction International Journal of Heat and Mass Transfer. ,vol. 34, pp. 2911- 2919 ,(1991) , 10.1016/0017-9310(91)90251-9
O. M. Alifanov, S. V. Rumyantsev, Application of iterative regularization for the solution of incorrect inverse problems Journal of Engineering Physics. ,vol. 53, pp. 1335- 1342 ,(1987) , 10.1007/BF00871098
James V. Beck, Surface heat flux determination using an integral method Nuclear Engineering and Design. ,vol. 7, pp. 170- 178 ,(1968) , 10.1016/0029-5493(68)90058-7
Keith A. Woodbury, James V. Beck, Estimation metrics and optimal regularization in a Tikhonov digital filter for the inverse heat conduction problem International Journal of Heat and Mass Transfer. ,vol. 62, pp. 31- 39 ,(2013) , 10.1016/J.IJHEATMASSTRANSFER.2013.02.052
José María Gutiérrez Cabeza, Juan Andrés Martín García, Alfonso Corz Rodríguez, A sequential algorithm of inverse heat conduction problems using singular value decomposition International Journal of Thermal Sciences. ,vol. 44, pp. 235- 244 ,(2005) , 10.1016/J.IJTHERMALSCI.2004.06.009