The relation, V
w, o=V
w, l (1+bΔP), was proposed to obtain a modified solution -diffusion model equation which can be studied the transport phenomena of the water permeation in a swollen PVA membrane on the effects of heat treatment. The PVA membrane was heat treated at 180°C by a different time respectively, and then, the experiments were carried out in the range of 20°to 50°C and the pressure region of 10 to 80 atm, to obtain the water diffusion apparent activation energy, diffusion coefficient, and compressive coefficient, the relationship between flux for water permeation and applied pressure or temperature, the modified solution diffusion equation and Arrhenius equation have been used.
The diffusion apparent activation energy was obtained in the range of 4.60 to 6.70 kcal/mole, and depended on the heat treatment time of PVA membrane. On the other hand, it was found that relationship between flux of water and (V
w, o-Vw, l) exists to be a straight line and also an approximately linear relationship exists between the reciprocal of water flux and the reciprocal of applied pressure. The compressive coefficient, b value, decreased with increasing the heating time of PVA membrane.
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