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Mass diffusion in a binary mixture of viscous fluids confined between a rotating disk and a porous medium of finite thickness

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Języki publikacji
EN
Abstrakty
EN
The diffusion effect in a binary mixture of incompressible viscous fluids confined between a rotating disk and a porous medium of finite thickness has been discussed. It is assumed that the lighter component is present in a small quantity. It is found that the pressure gradient created by the rotation of the disk in the free flow region separates the two components in the binary mixture in such a way that the concentration ratio of the lighter component decreases in both the regions. The concentration ratio of the lighter component in the porous medium is the maximum at the interface and then decreases sharply to zero indicating the boundary layer formation at the interface. This separative effect increases with the increase of the Darcy number, i.e., with the decrease of the permeability of the porous medium. These results are applicable for dispersion of fertilizers or other chemicals in an agricultural field.
Rocznik
Strony
1045--1057
Opis fizyczny
Bibliogr. 11 poz., wykr.
Twórcy
Bibliografia
  • Bear J. (1988): Dynamics of Fluids in Porous Media. - New York: Dover Publication. INC, 579-587.
  • Jones I.P. (1973): Low Reynolds number flow past a porous spherical shell. - Proc. Camb. Phil. Soc, vol.73, pp.231-238.
  • Joseph D.D. and Tao J.L. (1965): Ground flow induced by a moving cylinder. - Physics of Fluids, vol.8, pp.1438-1449.
  • Landau L.D. and Lifshitz E.M. (1987): Fluid Mechanics. - 2nd Edition Pergamon Press, pp.230-234.
  • Ochao-Tapia J.A. and Whitaker S. (1995): Momentum transfer at the boundary between a porous medium and a homogeneous fluid. - Int. J. Heat and Mass Transfer, vol.38, pp.2635-2646.
  • Srivastava A.C. (1999): Flow in a porous medium induced by torsional oscillation of a disk near its surface. - ZAMP, vol.50, pp.529-545.
  • Srivastava A.C. and Agarwal M. (2003): Flow and heat transfer in a porous medium due to an oscillating plate with oscillating temperature in a viscous fluid near its surface. - Mathematical Forum, vol.16, pp.11-24.
  • Srivastava A.C. and Barman B. (1997): The flow of a non-newtonian fluid confined between an impervious rotating disk and porous medium. - Proc. Nat. Acad. Sci., India, vol.67(A), No.2, pp.165-174.
  • Srivastava A.C. and Sharma B.R. (1992): The flow and heat transfer of a viscous fluid confined between a rotating disk and a porous medium of finite thickness. - J. Math. Phy. Sci., vol.26, pp.539-547.
  • Taber J.J. (1969): Dynamic and static forces required to removwe a discontinous oil phase from porous media containing both oil and water. - Soc. Pet. Eng. J., vol.1, pp.3-13.
  • Tang H.T. and Fung Y.C. (1975): Fluid movement in a channel with permeable walls covered by porous medium. - ASME J. Appl. Mech. Series E, vol.197, pp.45-56.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0040-0012
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