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Title of Journal: Heat Mass Transfer

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Abbravation: Heat and Mass Transfer

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Springer-Verlag

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DOI

10.1007/s00134-006-0124-7

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1432-1181

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Transient heat conduction in a solid slab using mu

Authors: O Bautista F Méndez I Campos
Publish Date: 2005/11/16
Volume: 42, Issue: 2, Pages: 150-157
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Abstract

In this paper we study the unsteady heat conduction due to a sudden temperature step in the external surfaces of a solid slab In order to estimate the temperature profile in the solid we applied the multiplescale perturbation technique by identifying the “early” and “late” transient regimes for small values of the Biot number Bi In this sense we have revisited the classical lumped method incorporating this particular case as an asymptotic limit which is fully described by the “late” regime for small values of Bi Once the temperature distribution is analytically predicted this solution is compared against the exact solution and with other analytical results obtained by using regular perturbation techniques for different values of the Biot number Bi Observing a good agreement between the corresponding comparisons we obtain a very simple and useful formula to predict the nondimensional temperature of the solid slab

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