G. Fras et Jc. Benet, PHYSICAL APPROACH TO AVERAGING THEOREMS ON PHASE INTERFACES IN A DISPERSED MULTIPHASE MEDIUM, Transport in porous media, 15(3), 1994, pp. 209-227
Within the framework of a procedure for scare-changing by averaging a
representative elementary volume, theorems are developed to relate the
averages of derivatives to the derivatives of averages over a surface
, using elementary differential calculus. These theorems form the basi
s of a general macroscopic balance equation for a given quantity over
interfaces of a dispersed multiphase medium. The equations of phase in
terfaces complement equations related to bulk phases describing transp
ort in dispersed multiphase media.