An FE‐based sequential inverse algorithm for heat flux calculation during impingement water cooling

Abstract

Purpose

To develop an effective and reliable procedure for the calculation of heat fluxes from the measured temperatures in experimental tests of impingement water cooling.

Design/methodology/approach

An inverse heat transfer analysis procedure is developed and implemented into a 2D finite element program. In this method, the least‐squares technique, sequential function specification and regularization are used. Simplifications in the sensitivity matrix calculation and iterative procedures are introduced. The triangular and impulse‐like profiles of heat fluxes simulating practical conditions of impingement water cooling are used to investigate the accuracy and stability of the proposed inverse procedure. The developed program is then used to determine the heat flux during impingement water cooling.

Findings

A hybrid procedure is developed in which inverse calculations are conducted with a computation window. This procedure may be used as a whole time domain method or become a periodically sequential or real sequential method by adjusting the sequential steps.

Originality/value

Parametric study and application show that the developed method is effective and reliable and that inverse analysis may obtain the heat flux with an acceptable level of accuracy.

Citation

Gadala, M.S. and Xu, F. (2006), "An FE‐based sequential inverse algorithm for heat flux calculation during impingement water cooling", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 16 No. 3, pp. 356-385. https://doi.org/10.1108/09615530610649762