Abstract
We show how bounds on the cumulative pore-size distribution and on the solute flux as a function of volume flow for non-sieving membranes can be obtained from measurements of the hydraulic conductivity, the diffusive permeability, and the solute flux at one or two non-zero volume flows, using moment theory. This method is new, and differs in principle from the usual method of studying the sieving behavior of a membrane with solutes of different sizes. It depends on the different relative contributions of diffusion and convection to solute flux for pores of different sizes. The bounds obtained on the solute flux curve are quite tight, and can be used as a consistency check for a series of flux measurements. The bounds do not depend on the assumption of detailed pore models, but apply to non-uniform, internally interconnected pores of any shape.
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