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Calculation of the Liquid and Gas Permeability of Hydrophobic Low-Porosity Membranes of an Arbitrary Thickness

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Abstract

A method for calculating the liquid and gas permeability of hydrophobic low-porosity membranes of an arbitrary thickness is described. The calculation is based on the solution of a problem on percolation—the procedure of finding the distribution of liquid and gas over the membrane thickness. The dependence of the permeability for liquid on the share of pores that are potentially accessible to being filled with liquid is obtained for both thin and thick membranes. This dependence is of a universal nature and can easily be recalculated into a dependence of permeability on the pressure drop for membranes with any distribution of pores by size. Numerical estimates of principal characteristics for a membrane that possesses pores of three types are performed. The characteristics in question include permeabilities for liquid and gas; fluxes of the liquid; critical pressures, at which the permeability for liquid turns other than zero; and the working range of pressures, in which the membrane is capable of working normally. All these data permit the optimization of the operation of similar membranes, in particular, gas-delivering membranes that are used in hydrogen–oxygen fuel cells with a solid polymer electrolyte.

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Authors and Affiliations

  1. Frumkin Institute of Electrochemistry, Russian Academy of Sciences, Leninskii pr. 31, Moscow, 119071, Russia

    Yu. G. Chirkov

  2. Moscow Institute of Engineering Physics, Kashirskoe sh. 31, Moscow, 117409, Russia

    V. I. Rostokin

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  1. Yu. G. Chirkov
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  2. V. I. Rostokin
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Chirkov, Y.G., Rostokin, V.I. Calculation of the Liquid and Gas Permeability of Hydrophobic Low-Porosity Membranes of an Arbitrary Thickness. Russian Journal of Electrochemistry 40, 158–169 (2004). https://doi.org/10.1023/B:RUEL.0000016329.16898.bd

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