volume 243, issue 1234, P359-374 1958
DOI: 10.1098/rspa.1958.0005
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Abstract: It is shown that simple approximate solutions of the partial differential equation for diffusion (or heat conduction) in finite solids of various shapes and under various conditions can be derived from the simple solutions which are rigorously applicable to linear diffusion in a semi-infinite slab. The case in which the initial volume concentration is constant and the surface concentration is zero is considered in detail. For linear diffusion in a finite slab, the solutions show that each end of the slab can b…

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