Retrieval of multidimensional heat transfer coefficient distributions using an inverse BEM-based regularized algorithm: numerical and experimental results
Abbreviated Journal Title
Eng. Anal. Bound. Elem.
boundary elements; inverse problems; heat transfer coefficient; BOUNDARY INTEGRAL-EQUATION; ELEMENT METHOD; CONDUCTION PROBLEMS; MEDIA; CYLINDER; CAVITIES; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications
The surface distribution of heat transfer coefficients (h) is often determined point by point using surface temperature measurements of the tested object, initially at a uniform temperature and impulsively imposed with a convective boundary condition, and the solution to the transient heat conduction equation for a semi-infinite medium. There are many practical cases where this approach fails to adequately model the temperature field and, consequently, leads to erroneous h values. In this paper, we present an inverse BEM-based approach for the retrieval of spatially varying It distributions from surface temperature measurements. In this method, a convolution BEM marching scheme is used to solve the conduction problem. At each time level, a regularized functional is minimized to estimate the current heat flux and simultaneously smooth out uncertainties in calculated h values due to experimental uncertainties in measured temperatures. Newton's cooling law is then invoked to compute h. Results are presented from a numerical simulation and from an experiment. It is also shown that the method can be readily applied to steady-state. (c) 2004 Published by Elsevier Ltd.
Engineering Analysis with Boundary Elements
"Retrieval of multidimensional heat transfer coefficient distributions using an inverse BEM-based regularized algorithm: numerical and experimental results" (2005). Faculty Bibliography 2000s. 5135.