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Osmosis for non-electrolyte solvents in permeable periodic porous media

Alexey Heintz (Institutionen för matematiska vetenskaper) ; A. Piatnitski
Networks and Heterogeneous Media (1556-1801). Vol. 11 (2016), 3, p. 471-499.
[Artikel, refereegranskad vetenskaplig]

The paper gives a rigorous description, based on mathematical homogenization theory, for flows of solvents with not charged solute particles under osmotic pressure for periodic porous media permeable for solute particles. The effective Darcy type equations for the flow under osmotic pressure distributed within the porous media are derived. The effective Darcy law contains an additional flux term representing the osmotic pressure. Coefficients in the effective homogenized equations are related to the values of the phenomenological coefficients in the Kedem-Katchalsky formulae (2).

Nyckelord: Porous media, osmosis, homogenization, Darcy law



Denna post skapades 2016-09-14. Senast ändrad 2016-09-16.
CPL Pubid: 241778

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)

Ämnesområden

Matematisk analys

Chalmers infrastruktur