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Research Papers: Conduction

Boubaker Polynomials Weak Solutions to a Robin Boundary Conditioned Dynamic-State Heat Transfer Problem

[+] Author and Article Information
K. ben Mahmoud Boubaker

ESSTT/Laboratoire de Physique de la Matière Condensée, UPDS, Faculté des Sciences de Tunis, 2092 Tunis, Tunisia

J. Heat Transfer 131(11), 111305 (Aug 25, 2009) (4 pages) doi:10.1115/1.3154623 History: Received July 10, 2008; Revised May 06, 2009; Published August 25, 2009

In this paper we are concerned with the solution of a Robin boundary conditioned problem associated with the local heat transfer equation. The results are obtained using both symmetrical system features and expansions of a Boubaker polynomial subsequence. The yielded profile is compared with some recently proposed models.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

Geometrical features. The simplified main system of the heat equation under Robin boundary conditions.

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Figure 2

Evolution of temperature profile versus time (N=2)

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Figure 3

Evolution of temperature profile versus time (N=3)

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Figure 4

Evolution of temperature profile versus time (N=4)

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Figure 5

Time-space temperature evolution (case of the initial vector [ζ]2)

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