Publication Date:
2019
Description:
In this paper, the Kedem–Katchalsky equations in matrix form for nonhomogeneous ternary nonelectrolyte solutions were applied for interpretation of transport through the membrane mounted in horizontal plane. Coefficients ,, and (for nonhomogeneous solutions), Hij and (for homogeneous solutions) (i, j ∈ {1, 2, 3}, r = A, B), , and were calculated on the basis of experimentally determined coefficients (Lp, σ1, σ2ω11, ω22, ω21, ω12, , and ) for glucose in aqueous ethanol solutions and two configurations of the membrane system. From the calculations, it results that the values of coefficients ,,,,,, and depend nonlinearly on solution concentration as well as on a configuration of membrane system. Besides, the values of coefficients ,,,,, and depend linearly on solution concentration. The value of coefficients H13, H23, and H33 do not depend on solution concentration. The coefficients ψ12, ψ13, ψ22 = ψ23, ψ32 = ψ33, and ψdet depend nonlinearly on solution concentration and for ≈ 9.24 mol m−3 are equal to zero. For 9.23 mol m−3, positive. In contrast, the values of coefficients ψ22 = ψ23, ψ32 = ψ33, and ψdet for 9.24 mol m−3, negative. For = 0, we can observe nonconvective state, in which concentration Rayleigh number reaches the critical value RC = 1691.09, for is convective state with convection directed straight down and for is convective state with convection directed straight up.
Print ISSN:
1687-806X
Electronic ISSN:
1687-8078
Topics:
Chemistry and Pharmacology
,
Process Engineering, Biotechnology, Nutrition Technology
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