Abstract
The capillary hysteresis is an important behavior of liquid-unsaturated porous media. The hysteresis effects on the heat and mass transfer are evident in action in many important cases. The present paper introduces the minimum driving gradient concept into the analytical studies on the transport phenomena in unsaturated wet porous media. The individual phase equations and total saturation equation of mass transfer, and the energy equation for temperature profiles are derived. A hysteretic criterion is introduced with discussions. It is believed that the new efforts on the subject will promote the progress in all the relevant respects of theories and applications.
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