Effect of non-well-mixed compartment and bulk flow on diffusion through a pore.
The assumptions of well-mixed and zero bulk flow in compartmental analysis are reexamined. Using Poiseuille flow inside and radial flow outside a pore, the mass-transfer equations are solved by perturbations on simple diffusion. Formulas are obtained for solute distribution, total mass transfer, and apparent permeability. The effects of non-well mixing and bulk flow are discussed.
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D001692:Biological Transport; D004058:Diffusion; D008433:Mathematics; D008566:Membranes / Q000378:metabolism*; D008954:Models, Biological; D010539:Permeability