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The Quarterly Journal of Mechanics and Applied Mathematics 1991 44(2):285-301; doi:10.1093/qjmam/44.2.285
© 1991 by Oxford University Press
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THE COOLING OF A SLAB UNDER CONTINUOUSLY VARYING BOUNDARY CONDITIONS

GEORGE M. KAPOULITSAS{dagger}

( School of Mathematics, University of Bristol, University Walk Bristol BS8 1TW )

{dagger} Permanent address: Basilikou 7, 40 Ekklisies, Thessaloniki 54 636, Greece.

An analytical model is developed for the effect of cooling a slab under continuously varying boundary conditions of exponential character. An exact and explicit solution is derived for the temperature distribution over the entire slab. The solution is obtained by solving an appropriate functional equation in the complex plane. This equation has the form of a difference equation.


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