When an accurate description of mass transport across membranes is required, e.g. in biology, chemical engineering, biotechnologies, biomedical apparatuses design, it often occurs that a diffusional barrier may not be considered as a single membrane. In effect also the ubiquitous unstirred layers behave formally as a membrane-like diffusional barrier. Series arrays of n membranes may be treated integrating local Kedem-Kacthalsky pratical equations across the thickness of the i-th membrane and subsequently, by means of recursive substitutions, correlating the volume and solute flows to their driving forces across the whole array. The equations obtained by this method contain, as a particular case, the ones already derived for a 2-membranes array and are a function both of the driving forces and of the solute concentration on one side of the array, C1. It is also deduced that: I. the filtration coefficient Lp for the array depends on the individual Lp’s of the n membranes and also on C1, II. also the osmotic flow coefficient Lpd is a function of C1, III. the – Lpd/Lp ratio appears to be the overall reflection coefficient of the array and does not depend on C1, IV. the linear Darcy law for volume flow appears to be a limiting law for pure solvent, V. an overall solute permeability, C1 independent, may be defined. A computer program for the mass transport simulation according to the above mentioned equations will be described.

Mass transport in multimembrane systems / F.C. Celentano, G. Monticelli. ((Intervento presentato al convegno Membranes and Membrane Processes, Europe-Japan tenutosi a Stresa nel 1984.

Mass transport in multimembrane systems

G. Monticelli
Ultimo
1984

Abstract

When an accurate description of mass transport across membranes is required, e.g. in biology, chemical engineering, biotechnologies, biomedical apparatuses design, it often occurs that a diffusional barrier may not be considered as a single membrane. In effect also the ubiquitous unstirred layers behave formally as a membrane-like diffusional barrier. Series arrays of n membranes may be treated integrating local Kedem-Kacthalsky pratical equations across the thickness of the i-th membrane and subsequently, by means of recursive substitutions, correlating the volume and solute flows to their driving forces across the whole array. The equations obtained by this method contain, as a particular case, the ones already derived for a 2-membranes array and are a function both of the driving forces and of the solute concentration on one side of the array, C1. It is also deduced that: I. the filtration coefficient Lp for the array depends on the individual Lp’s of the n membranes and also on C1, II. also the osmotic flow coefficient Lpd is a function of C1, III. the – Lpd/Lp ratio appears to be the overall reflection coefficient of the array and does not depend on C1, IV. the linear Darcy law for volume flow appears to be a limiting law for pure solvent, V. an overall solute permeability, C1 independent, may be defined. A computer program for the mass transport simulation according to the above mentioned equations will be described.
giu-1984
unstirred layer ; membrane series arrays ; driving force ; filtration coefficient ; osmotic flow coefficient ; reflection coefficient ; solute permeability
Settore BIO/09 - Fisiologia
European Society of Membrane Science and Technology
Membrane Society of Japan
Progetto Finalizzato Chimica Fine e Secondaria (Consiglio Nazionale delle Ricerche)
Mass transport in multimembrane systems / F.C. Celentano, G. Monticelli. ((Intervento presentato al convegno Membranes and Membrane Processes, Europe-Japan tenutosi a Stresa nel 1984.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/237987
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