Publicación: A FINITE ELEMENT MODEL FOR CONCENTRATION POLARIZATION AND OSMOTIC EFFECTS IN A MEMBRANE CHANNEL
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Fecha
2024
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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Resumen
IN THIS ARTICLE, WE STUDY A MATHEMATICAL MODEL THAT REPRESENTS THE CONCENTRATION POLARIZATION AND OSMOSIS EFFECTS IN A REVERSE OSMOSIS CROSS-FLOW CHANNEL WITH DENSE MEMBRANES AT SOME OF ITS BOUNDARIES. THE FLUID IS MODELED USING THE NAVIER-STOKES EQUATIONS AND THE SOLUTION-DIFFUSION IS USED TO IMPOSE THE MOMENTUM BALANCE ON THE MEMBRANE. THE SCHEME CONSIST OF A CONFORMING FINITE ELEMENT METHOD WITH THE VELOCITY-PRESSURE FORMULATION FOR THE NAVIER-STOKES EQUATIONS, TOGETHER WITH A PRIMAL SCHEME FOR THE CONVECTION-DIFFUSION EQUATIONS. THE NITSCHE
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Reverse osmosis, Nitsches method, Navier-Stokes equations, Finite elements
