Distillation of Nonelectrolyte Solutions Using Reverse Osmosys Hydrophilic Membranes

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A mathematical model of membrane distillation of aqueous solutions of organic substances (alcohols) using hydrophilic membranes has been developed. The membrane is modeled as a capillary-porous body all the pores of which are rectilinear capillaries of the same length and radius. The study was carried out for moderately intense processes, when the radius of curvature of the meniscus of a cylindrical pore exceeds the radius of the capillary, that is, there is no deepening of the evaporation front. An analytical formula was obtained, its parametric study was carried out and the extreme behavior of the separation coefficient of the most membrane-trapped component of the mixture was revealed depending on the concentration of solvent vapor in the blowing gas stream, which qualitatively corresponds to the behavior of this coefficient during the pervaporation of aqueous ethanol solutions using crosslinked hydrophilic pullulane membranes and hydrophilic chitosan membranes, as well as chitosan membranes crosslinked with glutaraldehyde.

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Sobre autores

A. Filippov

Gubkin University

Autor responsável pela correspondência
Email: filippov.a@gubkin.ru
ORCID ID: 0000-0001-9903-2405
Código SPIN: 7388-6159
Scopus Author ID: 35613864900
Researcher ID: C-5326-2014

Higher Mathematics Department, “Physicochemical hydrodynamics of two-phase flows in porous media” Laboratory

Rússia, 65 Leninsky Prospect, building 1, Moscow, 119991

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2. Fig. 1. Scheme of the distillation process: 0 – region of intensive mixing of constant concentration of mixture components; 1 – region of concentration polarization; 2, 3 – RO membrane with pores of the same radius rc; 4 – diffusion layer in the permeate; 5 – region of vaporous products in the permeate (blow-off flow).

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3. Fig. 2. Schematic representation of the location of the root z* < z₀ = − ln α̅ of equation (7/): line 1 is the exponential y = exp(−z), line 2 is the straight line y = α̅ + β̅ z.

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4. Fig. 3. Schematic behavior of the concentration coefficient of impurity molecules in the permeate:

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5. Fig. 4. Dependences of the retention coefficient φs on the Peclet number Pe at f = 0.1 (1), 0.5 (2), 2 (3), 0.15 (4); C̅g0 = 0, γ̅   = 5, η = 10, ∆ = 1, λ = 0.2, s = 5.

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6. Fig. 5. Schematic behavior of the impurity retention coefficient φₛ from the dimensionless concentration of the solvent α̅ = C̅₀/C̅ₛ in the blow-off gas flow, φ* is the value of the retention coefficient in the absence of impurity and solvent vapors (α̅ = 0) in the blow-off gas flow.

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