Salt Concentration at the Surface of Tubular Reverse Osmosis Membranes |
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11 Radial Positions analysis B₂ build-up of salt cellulose acetate channel entrance region channel length cm/sec commercial desalination equipment concentration field constant product water constant withdrawal velocity curve D₂ developed diffusion coefficient dimensionless eigenvalues Equation 34 Equation 41 Fj Bn flat membrane channels flat plate membrane flow in round Fraction of Water g moles/cm³ higher salt concentrations infinite series kinematic viscosity laminar flow mass transfer membrane surface multiple pass system parallel flat membrane parallel flat plate Percent Water Removal product water flux product water phase R(VC radial eigen radial eigenfunction Right Hand Side round tube round tubular membrane saline solution saline water phase salt build-up salt transported Schmidt Number series constants series of Equation shown in Figure Side of Equation tube diameter tube radius tubular membrane channels two-fold build-up values velocity field versus wall Yuan and Finkelstein ди