An exact analytical solution for two-dimensional , unsteady , multilayer heat conduction in spherical coordinates

@inproceedings{Jain2010AnEA,
title={An exact analytical solution for two-dimensional , unsteady , multilayer heat conduction in spherical coordinates},
author={Prashant K. Jain and S Somrendra Singh},
year={2010}
}

Analytical series solution is proposed for the transient boundary-value problem of multilayer heat conduction in r–h spherical coordinates. Spatially non-uniform, but time-independent, volumetric heat sources may exist in the concentric layers. Proposed solution is valid for any combination of homogenous boundary conditions of the first or second kind in the h -direction. However, inhomogeneous boundary conditions of the first, second or third kind may be applied at the inner and outer radial… CONTINUE READING