Abstract
The problem of planar, cylindrical, and spherical freezing with two coalescing fronts due to convective and radiative cooling on one side and pure convective cooling on the other is solved semi-analytically. A convenient unified transcendental equation for the two freeze front locations and all configurations is derived and solved using the Newton-Raphson method. The present semi-analytic results compare very well with published variational and perturbation expansion solutions on single-sided freezing of slabs, cylinders, and spheres subject to convective and radiative boundary conditions.
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