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Heat Flow Through Extended Surface Heat Exchangers pp 169–227Cite as

The Analysis of Fin Radiation

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Part of the book series: Lecture Notes in Engineering ((LNENG,volume 5))

Abstract

This paper presents the boundary integral equation (BIE) formulation and numerical solution procedure for two-dimensional problems governed by Laplace’s equation and subject to non-linear boundary conditions. The introduction of non-linear terms constitutes a fundamental extension of the BIE method, as previous applications have been restricted entirely to linear problems. Furthermore, non-linearities necessitate the use of iterative solution techniques which present the conceptual disadvantage that a solution is not guaranteed. However, no difficulties were encountered with the Newton-Raphson iterative method employed in this study. The various features of the non-linear BIE formulation are illustrated by the application to a physical problem of relevance in heat exchanger design.

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Authors and Affiliations

  1. Dept. of Mathematical Sciences, University of Durham, Durham, DH1 3LE, England

    Madassar Manzoor

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  1. Madassar Manzoor
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© 1984 Springer-Verlag Berlin Heidelberg

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Manzoor, M. (1984). The Analysis of Fin Radiation. In: Heat Flow Through Extended Surface Heat Exchangers. Lecture Notes in Engineering, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82191-2_4

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  • DOI: https://doi.org/10.1007/978-3-642-82191-2_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13047-5

  • Online ISBN: 978-3-642-82191-2

  • eBook Packages: Springer Book Archive

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