The paper analytically studies the performance of the optimized tree-type cylindrical-shaped nanoporous filtering membranes with 9 or 10 branch pores in each pore tree. The optimum ratio of the radius… Click to show full abstract
The paper analytically studies the performance of the optimized tree-type cylindrical-shaped nanoporous filtering membranes with 9 or 10 branch pores in each pore tree. The optimum ratio of the radius of the trunk pore to the radius of its branch pore was found. The corresponding lowest flow resistances of the membranes were typically calculated respectively for weak, medium and strong liquid-pore wall interactions. For liquid-liquid separations, the optimum radii of the trunk pore in the membranes were calculated according to the weak liquid-pore wall interaction. The capability of the liquidliquid separation of the membranes was also studied. The obtained results are of significance to the design of these membranes.
               
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