Mathematical modelling of single-phase nonisothermal fluid flow through porous media

A series of mathematical models was developed to describe heat transfer in laboratory experiments using cylindrical cores in a Hassler-type coreholder. Analytical solutions were derived and the behavior of these solutions was studied to determine the interaction of the heat transfer mechanisms in laboratory cores. The mathematical models were evaluated by comparison of calculated results with published experimental data. Various conclusions resulting from the comparison are: (1) heat convection due to liquid flow, and heat losses from the core are important factors in the transport of energy for all times; (2) at early and intermediate times, the heat losses to the environment are transient in nature, while at long times they become steady (the transients were controlled by a film coefficient between the core and coreholder).