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http://dx.doi.org/10.3795/KSME-B.2010.34.2.099

Derivation of the First-Order Mass-Transfer Equation for a Diffusion-Dominated Zone of a 2-D Pore  

Kim, Young-Woo (Department of Automotive Engineering, Hoseo University)
Seo, Byong-Min (Department of Environmental Engineering, Hoseo University)
Hwang, Seung-Min (Graduate School of Venture, Department of Health Environment, Hoseo University)
Park, Cha-Sik (Department of Automotive Engineering, Hoseo University)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.34, no.2, 2010 , pp. 99-103 More about this Journal
Abstract
A new analytic solution was derived for the diffusion into or from an immobile zone of a rectangular 2-D pore. For a long time, the new solution converges to a traditional mobile-immobile zone (MIM) model, but only if the latter is used with an apparent initial concentration that is smaller by almost 20% than the true one. This is the tradeoff for using a simple MIM model instead of an exact model based on the diffusion equation. The mass-transfer coefficient was found to be constant for a sufficiently long time; it was proportional to the molecular diffusion and inversely proportional to the square of the pore depth. The mass-transfer coefficient was time-dependent for a sufficiently short time and may be significantly larger than its asymptotic value.
Keywords
Diffusion; Porous Media; Mass-Transfer;
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