@ARTICLE{LPT-2009-24,
AUTHOR = {Herbert Egger and Y. Heng and W. Marquardt and A. Mhamdi},
TITLE = {{Efficient solution of a three-dimensional inverse heat conduction problem in pool boiling}},
JOURNAL = {Inverse Problems},
YEAR = {2009},
volume = {25},
number = {},
pages = {095006 (19pp)},
month = {},
note = {},
abstract = {In this paper, we consider a three-dimensional transient inverse heat conduction problem arising in pool boiling experiments. The surface heat flux is estimated from pointwise temperature observations inside a heater. Regularized solutions for this ill-posed problem are obtained by Tikhonov regularization and conjugate gradient methods together with a discrepancy stopping rule. The nonuniqueness of solutions resulting from the limited number of observations is addressed by regularizing the problem in an appropriate norm. For a numerical solution of the governing partial differential equation, a space-time finite element method is used, and several aspects of an efficient implementation, including a multilevel optimization strategy, are discussed. The overall procedure is finally applied to the reconstruction of local boiling heat fluxes from experimental data.},
keywords = {inverse heat conduction, local heat flux estimation, pool boiling, iterative regularization, space-time finite element, multilevel optimization},
}

Efficient solution of a three-dimensional inverse heat conduction problem in pool boiling

Abstract:
In this paper, we consider a three-dimensional transient inverse heat conduction problem arising in pool boiling experiments. The surface heat flux is estimated from pointwise temperature observations inside a heater. Regularized solutions for this ill-posed problem are obtained by Tikhonov regularization and conjugate gradient methods together with a discrepancy stopping rule. The nonuniqueness of solutions resulting from the limited number of observations is addressed by regularizing the problem in an appropriate norm. For a numerical solution of the governing partial differential equation, a space-time finite element method is used, and several aspects of an efficient implementation, including a multilevel optimization strategy, are discussed. The overall procedure is finally applied to the reconstruction of local boiling heat fluxes from experimental data.

Keywords:
inverse heat conduction, local heat flux estimation, pool boiling, iterative regularization, space-time finite element, multilevel optimization

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