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The Quarterly Journal of Mechanics and Applied Mathematics 1957 10(4):482-493; doi:10.1093/qjmam/10.4.482
© 1957 by Oxford University Press
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SOME CONDUCTION PROBLEMS IN THE HEATING OF SMALL AREAS ON LARGE SOLIDS

P. H. THOMAS

( D.S.I.R. and Fire Offices Committee, Fire Research Station )

This paper discusses a number of problems the common feature of which is the hoating by a constant flux of small areas, generally circular, on the surface of a semiinfinite solid or on an infinite thin sheet. In addition to a number of analytic results, the variation with time of the surface temperature of the centre of the heated area on a semi-solid has been computed for various sizes of area and degrees of cooling.


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