We study the finite-Péclet number forced convective heat transfer from a uniform temperature sphere placed in otherwise uniform fluid stream within a porous medium. A numerical study is undertaken to determine how the lack of local thermal equilibrium between the phases affects temperature fields of the two phases and the respective rates of heat transfer from the sphere. On the upstream side of the sphere the temperature field extends further from the sphere in the solid phase than it does for the fluid phase, but the opposite is true on the downstream side.
Kwan, H. Y. H., Rees, D. A. S., & Pop, I. (2008). Finite Péclet number forced convection past a sphere in a porous medium using a thermal nonequilibrium model. Heat and Mass Transfer, 44(11), 1391-1399. https://doi.org/10.1007/s00231-008-0377-5