Retrieval of multidimensional heat transfer coefficient distributions using an inverse BEM-based regularized algorithm: numerical and experimental results

    Authors

    E. Divo; A. J. Kassab; J. S. Kapat;M. K. Chyu

    Comments

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    Abbreviated Journal Title

    Eng. Anal. Bound. Elem.

    Keywords

    boundary elements; inverse problems; heat transfer coefficient; BOUNDARY INTEGRAL-EQUATION; ELEMENT METHOD; CONDUCTION PROBLEMS; MEDIA; CYLINDER; CAVITIES; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

    Abstract

    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.

    Journal Title

    Engineering Analysis with Boundary Elements

    Volume

    29

    Issue/Number

    2

    Publication Date

    1-1-2005

    Document Type

    Article

    Language

    English

    First Page

    150

    Last Page

    160

    WOS Identifier

    WOS:000227780700005

    ISSN

    0955-7997

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