From “Black Box” to a Real Description of Overall Mass Transport through Membrane and Boundary Layers
Chemical and Biochemical Processes Laboratory, Research Institute of Biomolecular and Chemical Engineering, University of Pannonia, Egyetem u. 10, H-8200 Veszprem, Hungary
Author to whom correspondence should be addressed.
Received: 31 December 2018 / Revised: 15 January 2019 / Accepted: 16 January 2019 / Published: 23 January 2019
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The “black box” model defines the enhancement,
the polarization modulus,
and the intrinsic enhancement,
without knowing the transport mechanism in the membrane. This study expresses the above-mentioned characteristic parameters, simultaneously taking into account the mass transport expressions developed for both the polarization and the membrane layers. Two membrane models are studied here, namely a solution-diffusion model characterizing solute transport through a dense membrane and a solution-diffusion plus convection model characterizing transport through a porous membrane due to transmembrane pressure difference. It is shown that the characteristic parameters of the “black box” model (E,
) can be expressed as a function of the transport parameters and independently from each other using two-layer models. Thus, membrane performance could be predicted by means of the transport parameters. Several figures show how enhancement and the polarization modulus varied as a function of the membrane Peclet number and the solubility coefficient. Enhancement strongly increased up to its maximum value when H
> 1, in the case of transport through a porous membrane, whereas its change remained before unity in the case of a dense membrane. When the value of H
< 1, the value of E
gradually decreased with increasing values of the membrane Peclet number.
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MDPI and ACS Style
Nagy, E.; Vitai, M. From “Black Box” to a Real Description of Overall Mass Transport through Membrane and Boundary Layers. Membranes 2019, 9, 18.
Nagy E, Vitai M. From “Black Box” to a Real Description of Overall Mass Transport through Membrane and Boundary Layers. Membranes. 2019; 9(2):18.
Nagy, Endre; Vitai, Márta. 2019. "From “Black Box” to a Real Description of Overall Mass Transport through Membrane and Boundary Layers." Membranes 9, no. 2: 18.
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