Volume 12, Issue 1 pp. 581-582
Section 14
Free Access

On the modeling of slender heat sources

Thomas Martin Cibis

Corresponding Author

Thomas Martin Cibis

FAU Erlangen-Nürnberg, Lehrstuhl für Angewandte Mathematik I, Cauerstr. 11, 91058 Erlangen, Germany

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Nicole Marheineke

Nicole Marheineke

FAU Erlangen-Nürnberg, Lehrstuhl für Angewandte Mathematik I, Cauerstr. 11, 91058 Erlangen, Germany

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Raimund Wegener

Raimund Wegener

Fraunhofer-Institut für Techno- und Wirtschaftsmathematik, Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany

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First published: 03 December 2012

Abstract

Studying the heat exchange of small, slender objects in a surrounding flow, we approximate the impact of extended heat sources by Dirac-distributions (point sources) with appropriate amplitudes in the context of slender-body theory. The proposed model for the source strength functions is deduced from analytical considerations (Green's functions) of the stationary two-dimensional heat equation. Numerical simulations show the L2-approximation quality of the strategy. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

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