Basic equations for every membrane are provided to predict the mass transfer rate the concentration distribution the convective velocity the separation efficiency and the effect of chemical or biochemical reaction taking into account the heterogeneity of the membrane layer to help better understand the mechanisms of the separation processes. Basic equations of mass transport through a membrane layer is an ideal resource for engineers and technologists in the chemical biochemical and pharmaceutical industries as well as researchers professors and students in these areas at both an undergraduate and graduate level. Basic equations of mass transport through a membrane layer second edition has been fully updated to deliver the latest research in the field this volume covers the essentials of compound separation product removal concentration and production in the chemical biochemical pharmaceutical and food industries. The concentrations are in equilibrium at the interface and the sorption process is instantaneous most of the membrane modules used for separation are capillary membrane hollow fiber modules the conditions under which mass transport through a cylindrical membrane layer can be considered a plane layer are discussed. Mass transfer fem modeling concentration polarization abstract forward osmosis fo desalination was investigated via 2 d numerical model of the fully coupled hydrodynamics and mass transfer equations the model was formulated for a detailed composite channel structure feed and draw channels membrane skin layer and porous support being
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