Evaluation of S-Entropy Production in a Single-Membrane System in Concentration Polarization Conditions

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• 作者：Andrzej Ślęzak ; Izabella Ślęzak-Prochazka…
• 关键词：Transport membrane ; S ; entropy source ; Kedem–Katchalsky equations
• 刊名：Transport in Porous Media
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：116
• 期：2
• 页码：941-957
• 全文大小：
• 刊物类别：Earth and Environmental Science
• 刊物主题：Geotechnical Engineering & Applied Earth Sciences; Industrial Chemistry/Chemical Engineering; Hydrology/Water Resources; Civil Engineering; Hydrogeology; Classical and Continuum Physics;
• 出版者：Springer Netherlands
• ISSN：1573-1634
• 卷排序：116

文摘

S-entropy source of membrane system was described based on linear non-equilibrium thermodynamics. The volume and diffusive fluxes of non-electrolyte solutions and osmotic and hydrostatic forces in this system were considered. Formulas describing the intensity of S-entropy production were derived for concentration polarization conditions and for homogeneous solutions. To show the influence of concentration polarization on the value of the S-entropy source, the expressions for the quotient and difference of S-entropy source were used in conditions of concentration polarization and homogeneous solutions. On the bases of elaborated formulas, the S-entropy sources as functions of osmotic and hydrostatic forces for homogeneous solutions and for solutions with concentration polarization of the membrane were calculated. Two-dimensional surfaces presented in this paper characterize second-order form of entropy source as a function of forces on the membrane.