Ja. Ochoatapia et S. Whitaker, HEAT-TRANSFER AT THE BOUNDARY BETWEEN A POROUS-MEDIUM AND A HOMOGENEOUS FLUID, International journal of heat and mass transfer, 40(11), 1997, pp. 2691-2707
The heat transfer conditions that apply at the boundary between a poro
us medium and a homogeneous fluid are developed as flux jump condition
s based on the non-local form of the volume averaged thermal energy eq
uations for both the fluid and the solid. These jump conditions take t
he form of surface transport equations that contain excess surface acc
umulation, convection, and conduction, in addition to a term represent
ing the excess surface heat exchange. It would appear that this latter
term controls the manner in which the flux from the porous medium to
the homogeneous fluid is distributed between the solid and fluid phase
s that make up the porous medium. (C) 1997 Elsevier Science Ltd.