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Mathematical model describing thickness changes of concentration boundary layers controlled by polymeric membrane parameters and concentration Rayleigh number
Authors:Slezak Andrzej  Slezak Izabella  Bryll Arkadiusz  Jasik-Slezak Jolanta  Młynarski Jacek
Affiliation:Department of Biology and Biophysics, Czgstochowa University of Technology. ajslezak@zim.pcz.czest.pl
Abstract:In the paper, by applicating the classic definition of concentration Rayleigh number and the second Kedem-Katchalsky equation, there was deriven the equation of the fourth degree, which makes thicknesses (deltah and deltal) dependent on the concentration difference (Ch-Cl), concentration Rayleigh number (Rc), membrane permeability parameters (omega, xi s) and solutions (Dl, Dh), physico-chemical parameters of solutions (v(l), v(h), rho l, rho h, delta rho/deltaC), temperature (T) and gravitational acceleration (g). On the basis of the obtained formula for isothermal conditions (T = const) and constant gravitational field (g = const), there were calculated non-linear dependencies delta h = f(Ch-Cl)(Rc, zeta s), delta h = f (Rc)((Ch-Cl),zeta s) and delta h = f(delta s)((Ch-Cl),Rc).
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