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Technical Briefs

A Simple Model for Transient Heat Conduction in an Infinite Cylinder With Convective Boundary Conditions

[+] Author and Article Information
Messaoud Guellal

Laboratoire de Génie des Procédés Chimiques, Université of Sétif, Route Maâbouda, Sétif 19000, Algéria

Hamou Sadat

Laboratoire d’Etudes Thermiques, Université of Poitiers, 40 Avenue du Recteur Pineau, 86022 Poitiers, France

Christian Prax

Laboratoire d’Etudes Aérodynamiques, Université of Poitiers, 40 Avenue du Recteur Pineau, 86022 Poitiers, France

J. Heat Transfer 131(5), 054501 (Mar 17, 2009) (4 pages) doi:10.1115/1.3082428 History: Received December 03, 2007; Revised October 24, 2008; Published March 17, 2009

A perturbation method is used to solve an unsteady one-dimensional heat conduction problem in a cylinder. A simple second order explicit solution is obtained. It is shown that this solution is accurate even for high values of the Biot number in a region surrounding the center of the cylinder.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Function f(x) for Bi=10, Bi=100, and Bi=∞

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Figure 2

Second pole for Bi=10 and Bi=∞

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Figure 3

First pole for Bi=10 and Bi=∞

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Figure 4

Step response at x=0 for Bi=0.1

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Figure 5

Step response at x=0.3 for Bi=0.1

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Figure 6

Step response at x=0 for Bi=10

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Figure 7

Step response at x=0.3 for Bi=∞

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Figure 8

Relative error of the low order models

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