Mathematical model describing thickness changes of concentration boundary layers controlled by polymeric membrane parameters and concentration Rayleigh number.
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).
Slezak
Andrzej
A
Department of Biology and Biophysics, Czgstochowa University of Technology. ajslezak@zim.pcz.czest.pl
Slezak
Izabella
I
Bryll
Arkadiusz
A
Jasik-Slezak
Jolanta
J
Młynarski
Jacek
J
D004058:Diffusion; D000431:Ethanol; D006112:Gravitation; D008567:Membranes, Artificial; D008956:Models, Chemical; D009997:Osmotic Pressure; D010539:Permeability; D011108:Polymers; D012996:Solutions / Q000737:chemistry*; D014783:Viscosity
D008567:Membranes, Artificial; D011108:Polymers; D012996:Solutions; D000431:Ethanol