Combined surface and pore volume diffusion in porous media

Bhatia, S. K. (1988) Combined surface and pore volume diffusion in porous media AIChE Journal, 34 (7). pp. 1094-1105. ISSN 0001-1541

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The recent theory for pore volume diffusion in porous media (Bhatia, 1985, 1986) is further extended to include surface diffusion with adsorption-desorption phenomena proceeding at finite rates. The short-range memory effects, previously discussed in terms of a correlation between successive pores traversed, are included here and are found to be important for surface diffusion as well. A tortuosity for surface diffusion is defined and found to be larger than 3, in the range of 5 to 7, because of internal correlation effects in the random network structure examined. Under conditions of gradients in pore surface area it is shown that the surface transport equation is ∂(S0Cs0)/∂t = ∇x . S0DsezCs0+S0[kaC0(M − Cs0) − (kd + ks)Cs0] and the relation between the effective surface diffusivity Dse and the pore structure parameters is derived. The equation for pore volume diffusion requires further justification when adsorption-desorption occurs at finite rates, and is also derived here.

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