Unsteady convective diffusion of a solute in a Hagen-Poiseuille flow through a tube with permeable wall |
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| Authors: | Alexandru Dumitrache Florin Frunzulica |
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| Institution: | Institute of Mathematical Statistics and Applied Mathematics, 050711 Calea 13 Septembrie 13, Bucharest, Romania |
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| Abstract: | Influence of Interphase Mass Transfer (IMT) on the unsteady convective diffusion in a fluid flow through a tube surrounded by a porous medium is examined against the background of no IMT. The three coefficients namely exchange coefficient, convection coefficient, and dispersion coefficient are evaluated asymptotically at large-time. The exchange coefficient exists due to IMT. All-time analysis is made analytically when there is no IMT. The mean concentration distribution is measured at a point inside and outside the slug. The peak of mean concentration is higher than that of pure convection and it is further enhanced with increase of porous parameter. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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