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Membrane Handbook

Abstract

Gas diffusion through nonporous membranes is a concentration gradient driven process, which is generally well described by Fick’s first law (Crank 1975)

$$J = - D\nabla c,$$
(3-1)

where D is the diffusion coefficient and c refers to the local gas or penetrant concentration. For unidirectional diffusion through a flat membrane, Eq. (3-1) can be written for species i as (Crank 1975)

$${J_i} = - {D_i}({c_1})\frac{{d{c_i}}}{{dx}},$$
(3-2)

where D i (c i ) indicates that the diffusion coefficient can be dependent on the local composition of penetrant i.

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    Raymond R. Zolandz & Gregory K. Fleming

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  1. Corporate Research, Exxon Research and Engineering Company, Route 22 East, Annandale, NJ, 08801, USA

    W. S. Winston Ho Ph.D. (Senior Engineering Associate) (Senior Engineering Associate)

  2. Center for Membranes and Separation Technologies, Department of Chemistry and Chemical Engineering, Stevens Institute of Technology, Hoboken, NJ, 07030, USA

    Kamalesh K. Sirkar Ph.D. (Professor) (Professor)

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Zolandz, R.R., Fleming, G.K. (1992). Theory. In: Ho, W.S.W., Sirkar, K.K. (eds) Membrane Handbook. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3548-5_3

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