Abstract
General expressions are presented for the three-dimensional and unsteady heating of a finite solid rectangular parallelepiped under the influence of an arbitrary volume heat source and an arbitrary initial temperature distribution when convective type of time-dependent boundary conditions are prescribed on the six plane surfaces. These expressions given in various forms and not available hitherto, contain the solution of numerous special problems of technological importance. Corresponding general expressions for the rectangle and for the slab are deduced as limiting cases. The particular problem treated recently by Cobble is shown to be a very special case of the results derived here for the parallelepiped.
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