http://worldcat.org/entity/work/id/45395316

Use of a Transcendental Approximation in Transient Conduction Analysis

In this paper a particular example of a transient conduction problem with a non-linear boundary condition is considered, for which other solutions have been obtained. This example consists of unsteady one-dimensional conduction in a semi-infinite slab with the boundary condition that the heat flux at the surface is proportional to the n-th power of the surface temperature and with the initial condition that the slab temperature is uniform, forming the reference zero, i.e. the zero of an appropriate empirical temperature scale.

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