title: [Theoretical analysis of the membrane transport non-homogeneous non-electrolyte solutions: influence of thermodynamic forces on thickness of concentration boundary layers for binary solutions].
abstract: The nonlinear mathematical model equations for membrane transport of binary non-electrolyte solutions was presented. This model, the influence of the volume flows caused by simultaneous action of osmotic and hydraulic forces in concentration boundary layers creation, controlled by concentration Rayleigh number is taken into account. In a basis of obtained fourth order equations, the numerical calculations of concentration boundary layers thicknesses (delta(l) and delta(h)) for five variables: concentration (C(h)), hydrostatic pressure difference (deltaP), hydraulic permeability (L(p)), reflection (sigma), solute permeability (omega) coefficients and concentration Rayleigh number (R(c)) were performed. Characteristics obtained in the study show that external forces cause nonlinear increase or decrease of the concentration boundary layers thicknesses.
authors.affiliation: Zakład Biologii i Biofizyki, Politechnika Czestochowska, Czestochowa Katedra Biofizyki, Slaska Akademia Medyczna, Zabrze. ajslezak@zim.pcz.czest.pl
authors.forename: Andrzej
authors.initials: A
authors.lastname: Slezak
authors.forename: Sławomir
authors.initials: S
authors.lastname: Grzegorczyn
mesh_terms: D001692:Biological Transport; D004058:Diffusion; D006874:Hydrostatic Pressure; D007700:Kinetics; D008567:Membranes, Artificial; D008954:Models, Biological; D008956:Models, Chemical; D017711:Nonlinear Dynamics; D009995:Osmosis; D009997:Osmotic Pressure; D010539:Permeability; D012212:Rheology / Q000379:methods; D012996:Solutions / Q000737:chemistry* / Q000493:pharmacokinetics; D013816:Thermodynamics
chemical_list: D008567:Membranes, Artificial; D012996:Solutions