Osmosis for non-electrolyte solvents in permeable periodic porous media
Alexei Heintz, Andrey Lvovich Piatnitski · Networks and Heterogeneous Media · 2016
The paper gives a rigorous description, based on mathematical homogenizationtheory, for flows of solvents with not charged solute particles underosmotic pressure for periodic porous media permeable for solute particles.The effective Darcy type equations for the flow under osmotic pressuredistributed within the porous media are derived. The effective Darcy law containsan additional flux term representing the osmotic pressure. Coefficients in the effective homogenized equationsare related to the values of the phenomenological coefficients in theKedem-Katchalsky formulae (2).