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Unsteady mass transfer and magnetohydrodynamic flow of visco-elastic fluid over a stretching sheet saturated in a porous medium with suction/blowing

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Języki publikacji
EN
Abstrakty
EN
An unsteady two-dimensional and mass transfer flow of a visco-elastic, incompressible and electrically conducting fluid saturated in a porous medium with suction or blowing is studied. The permeability of the porous medium fluctuates with time about a constant mean. The surface absorbs the fluid with constant velocity and the velocity oscillates depending on the stretching rate (b). Analytical solutions for the velocity, skin friction and concentration are obtained. The influence of various parameters entering into the problem are discussed. The velocity of the visco-elastic fluid is found to decrease in the presence of the magnetic field and porous media as compared to the study of viscous fluid. It is also found that the effect of unsteadiness in the wall velocity and skin friction are found to be appreciable.
Rocznik
Strony
263--282
Opis fizyczny
Bibliogr. 27 poz., wykr.
Twórcy
autor
autor
Bibliografia
  • Abel S. and Veena P.H. (1998): Visco-elastic fluid flow and heat transfer in a porous medium over a stretching sheet. - Int. J. Non-Linear Mech., vol.33, pp.531-540.
  • Abel S., Rajagopal K., Veena P.H. and Pravin V.K. (2003): International Journal of Non-Linear Mechanics. NLM 1014; pp.1-12: Article in press - 2003.
  • Abel S., Rajagopal K., Veena P.H. and Pravin V.K. (2006): Heat transfer in a visco-elastic fluid past a stretching sheet with viscous dissipation and internal heat generation. - ZAMP: vol.57, pp.447-463.
  • Crane L.J. (1970): Flow past a stretching sheet. - ZAMP, vol.,21, pp.645-647.
  • Dunn J.E. and Rajagopal K.R. (1995): Fluids of differential type. Critical reviews and thermodynamic analysis. - Int. J. of Eng. Sci., vol.33, pp.689-729.
  • Erdogan M.E. (2003): On unsteady motions of a second order fluid over a plane wall. - Int. J. Non-linear Mech., vol.38, pp.1045-1053.
  • Gupta P.S. and Gupta A.S. (1977): Heat and mass transfer of a stretching sheet with suction or blowing. - Can. J. Chem. Eng., vol.55, pp.744-747.
  • Hassanian I.A. and Allah M.H.O. (2002): Oscillatory hydromagnetic flow through a porous medium with variable permeability in the presence of free convection and mass transfer flow. - Int. Comm. Heat Mass Transfer, vol.29, No.4, pp.567-575.
  • Jones D.M. and Walters' K. (1989): The behaviour of polymer solutions in extension dominated flows with applications to enhanced oil recovery. - Rheol. Acta., vol.28, pp.482-498.
  • Lighthill M.J. (1954): The response of laminar skin friction and heat transfer to fluctuations in the stream velocity. - Proc. Roy. Soc. Lond., vol.224, pp.1-23.
  • Magyari E., Ali M.E. and Keller B. (2001): Heat and mass transfer characteristics of the self similar boundary layer flows induced continuous surfaces stretching with rapidly decreasing velocities. - J. Heat and Mass Transfer, vol.38, pp.65-74.
  • Pascal H. and Pascal F. (1989): On visco-elastic effects in non-Newtonian steady flows through porous media. - Trans. Porous Media, vol.11, pp.17-33.
  • Pilitisis S. and Beirs A. (1989): Calculations of steady state visco-elastic flow in an undulating tube. - J. of Non-Newtonian Fluid Mech., vol.31, pp.281-287.
  • Rajagopal K.R. (1982): A note on unsteady unidirectional flows of a non-Newtonian fluid. - Int. J. Non-linear Mech., vol.17, pp.169-173.
  • Rajagopal K.R., Na T.Y. and Gupta A.S. (1984): Flow of a visco-elastic fluid past a stretching sheet. - Rheol. Acta., vol.23, pp.213-215 .
  • Rajagopal K., Veena P.H. and Pravin V.K. (2005): Heat transfer in a fluid over a linearly stretching sheet with variable thermal conductivity and internal heat generation. - Journal of Energy, Heat and Mass Transfer, vol.27, pp.65-81.
  • Rudraiah N. and Kaloni P.N. (1989): Oscillatory convection in a visco-elastic fluid through a porous paper heated from below. - Rheol. Acta., vol.28, pp.48-53.
  • Sakiadis B.C. (1961): Boundary layer behaviour on continuous solid surfaces. - Am. Inst. Chem. Eng. J., vol.7, pp.26-28.
  • Sam-Lawrence and B.Nageshwar Rao (1995): The non-uniqueness of MHD flow of a visco-elastic fluid past a stretching sheet. - Acta. Mech., vol.112, pp.223.
  • Sarpakaya T. (1961): Flow of non-Newtonian fluids in a magnetic field. - A.I. Ch. E J., vol.7, pp.324-328.
  • Siddappa B. and Abel S. (1985): Non-Newtonian flow past a stretching sheet. - ZAMP, vol.36, pp.890-892.
  • Siddappa B., Abel S. and Veena P.H. (1995): Oscillatory motion of a visco-elastic fluid past a stretching sheet. - IL. NUOVO C IMENTO, vol.17D, No.1, pp.53-60.
  • Staurt J.T. (1955): A solution of the Navier Stoke's and energy equation illustrating the response of skin friction and temperature of an infinite plate thermometer to fluctuations in the stream velocity. - Proc. Roy. Soc. Lond., vol.A231, pp.116-130.
  • Surmadevi C.D. and Nath G. (1986): Similarity solutions of the unsteady boundary layer equations for a moving wall. - Ind. J. Pure and Appl. Math., vol.17, pp.1405-1411.
  • Thakkar H.S. (2001): Unsteady three dimensional MHD-boundary layer flow due to the impulsive motion of a stretching surface. - Acta. Mechanica., vol.146, pp.59-71.
  • Ting T.W. (1963): Certain non-steady flows of second order fluids. - Arch. Ration. Mech. Anal., vol.14, pp.1-26.
  • Wang C.Y. (1988): Non-linear streaming due to the oscillatory stretching of a sheet in a viscous fluid. - Acta. Mech., vol.72, pp.261-268.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0028-0019
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