Analytical Solution of Coupled Diffusion Equations in Semi-Infinite Media

Abstract

Some analytical solutions of the one dimensional transient coupled heat and mass transfer linear equations in a semi-infinite medium are proposed, based on an extension of the thermal quadrupole formalism, in both axial and radial coordinate systems. A direct relationship is proposed between the local temperature and moisture content, both at wall and inner locations. For a previous characterized medium, these relationships seem to be relevant in order to deduce the moisture content from temperature measurements. Another application would be the transport parameters estimation.