Title: An inverse analysis for the estimation of boundary heat flux in a circular pipe employing the proper orthogonal decomposition

Authors: Peng Ding, Wen-Quan Tao

Addresses: State Key Laboratory of Multiphase Flow and Heat Transfer, School of Energy and Power Engineering, Xi'an Jiaotong University, 28 Xian Ning Road, Xi'an Shaanxi, 710049, PR China. ' State Key Laboratory of Multiphase Flow and Heat Transfer, School of Energy and Power Engineering, Xi'an Jiaotong University, 28 Xian Ning Road, Xi'an Shaanxi, 710049, PR China

Abstract: An inverse algorithm based on the proper orthogonal decomposition technique is developed in this paper. The performance of the present inverse algorithm is examined by an inverse forced convection problem of identifying the unknown space-dependent heat flux at the outer boundary of a circular pipe. The inverse problem is resolved in a functional optimisation way by the Fletcher-Reeves conjugate gradient method. The effects of the convection, the location of the thermocouples and the measurement error on the performance of the inverse algorithm are studied thoroughly. It was shown that the present POD-based inverse algorithm is very accurate as well as efficient. A large time saving is also found by using the present inverse algorithm.

Keywords: proper orthogonal decomposition; reduced order models; inverse forced convection; functional optimisation; boundary heat flux; circular pipes; thermocouples.

DOI: 10.1504/PCFD.2009.024824

Progress in Computational Fluid Dynamics, An International Journal, 2009 Vol.9 No.3/4/5, pp.231 - 246

Published online: 01 May 2009 *

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