Transport of non-electrolyte solutions through membrane with concentration polarization.
Mathematical model of the volume fluxes through neutral membrane with concentration boundary layers on both sides of this membrane is presented. This model, based on the Kedem-Katchalsky equations, describes the volume flux generated by osmotic and hydrostatic forces for non-homogeneous and non-electrolyte solutions. Nonlinear equation for volume flux was used for numerical calculation in linear regime of hydrodynamic stability. In the steady state of non-homogeneous solutions the dependence of volume flux on pressure difference is shifted with regard to this dependence for homogeneous solution, while the volume flux as a function of osmotic pressure between chambers is characterized by different angle of inclination for homogeneous and non-homogeneous solutions.
Grzegorczyn
Sławomir
S
Department of Biophysics, Silesia Medical University, H. Jordan Str. 19, 41 808 Zabrze, Poland. grzegorczyn@sum.edu.pl
Jasik-Slezak
Jolanta
J
Michalska-Małecka
Katarzyna
K
Slezak
Andrzej
A
D001692:Biological Transport; D008566:Membranes; D008954:Models, Biological; D009997:Osmotic Pressure; D012996:Solutions
D012996:Solutions