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Abstrakty
In this paper, the flow of an incompressible viscous fluid past and within a porous approximate sphere directed along its axis of symmetry is considered. By assuming that Stokes equations for a creeping flow govern the flow outside the body and Darcy's law governs the tluid motion within the porous region of the body, an analytical soIution for the stream function is obtained. The drag experienced by the body is calculated and its variation with respect to the permeability parameter is studied numericaIly. Prom the present analysis, the flow past a porous sphere and spheroid are obtained as special cases.
Rocznik
Tom
Strony
689--697
Opis fizyczny
Bibliogr. 11 poz., wykr.
Twórcy
autor
- Department of Mathematics and Humanities, National Institute of Technology Warangal- 506 004, A.P., INDIA
autor
- Department of Mathematics, M.V.S.R. Engineering College Hyderabad - 501510, A.P. INDIA
autor
- Department of Mathematics and Humanities, National Institute of Technology Warangal- 506 004, A.P., INDIA
Bibliografia
- [1] Beavers G.S. and Joseph D.D. (1967): Boundary conditions at a naturally permeable wall. - J. Fluid Mech., vol.30, pp.197-207.
- [2] Brinkman H.C. (1957): A calculation of viscous force exerted by a flowing fluid on dense swarm of particles. - Appl. Sci. Res., vol.A1, pp.27-34.
- [3] Darcy H.P.G. (1856): Les Fontains publiques de la Ville de Dijon - Paris: Victor Dalmost.
- [4] Happel J. and Brenner H. (1983): Law Reynolds number Hydrodynamics - The Hague: Martinus Nijhoff Publishers.
- [5] Iyengar T.K.V. and Srinivasacharya D. (1995): Stokes flow of an incompressible micropolar fluid past an approximate sphere. - Int. J. Eng. Sci., vo1.31, No.I, pp.1l5-123.
- [6] Joseph D.D. and Tao L.N. (1964): The effect of permeability in the slow motion of sphere in a viscous liquid. - ZAMM, vo1.44, pp.361-364.
- [7] Neale G., Epstein N. and Nader W. (1973): Creeping flow relative to permeable spheres. - Chem. Eng. Sci., vol.28, pp.1865-1874.
- [8] Nir A. and Pismen L.M. (1977): Simulation of inter particle forced convection, diffusion, and reaction in porous catalyst. - Chem. Eng. Sci., vol.32, pp.35-41.
- [9] Padmavathi B.S., Amarnath T. and Palaniappan D. (1994): Stokes flow about a porous spherical particle. - Arch. Mech., vol.46, pp.191-199.
- [10] Pruppacher H.R. and Klett J. D. (1978): Microphysics of Clouds and Preeipitation. - Dordrecht: D. Reidel.
- [11] SutherIand D.N. and Tan C.T. (1970): Sedimentation of porous sphere. - Chem. Eng. Sci., vol.25, pp.1948-1950.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0015-0020