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On the modeling of slender heat sources
Author(s) -
Cibis Thomas Martin,
Marheineke Nicole,
Wegener Raimund
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210279
Subject(s) - context (archaeology) , heat flow , amplitude , flow (mathematics) , heat equation , mechanics , point (geometry) , quality (philosophy) , heat exchanger , physics , classical mechanics , statistical physics , mathematics , mathematical analysis , meteorology , geology , thermodynamics , geometry , thermal , paleontology , quantum mechanics
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)