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Oscillatory MHD convective flow of second order fluid through porous medium in a vertical rotating channel in slip-flow regime with heat radiation

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An analysis of an oscillatory magnetohydrodynamic (MHD) convective flow of a second order (viscoelastic), incompressible, and electrically conducting fluid through a porous medium bounded by two infinite vertical parallel porous plates is presented. The two porous plates with slip-flow condition and the no-slip condition are subjected respectively to a constant injection and suction velocity. The pressure gradient in the channel varies periodically with time. A magnetic field of uniform strength is applied in the direction perpendicular to the planes of the plates. The induced magnetic field is neglected due to the assumption of a small magnetic Reynolds number. The temperature of the plate with no-slip condition is non-uniform and oscillates periodically with time and the temperature difference of the two plates is assumed high enough to induce heat radiation. The entire system rotates in unison about the axis perpendicular to the planes of the plates. Adopting complex variable notations, a closed form solution of the problem is obtained. The analytical results are evaluated numerically and then presented graphically to discuss in detail the effects of different parameters of the problem. The velocity, temperature and the skin-friction in terms of its amplitude and phase angle have been shown graphically to observe the effects of the viscoelastic parameter γ, rotation parameter Ω, suction parameter […], Grashof number Gr, Hartmann number M, the pressure A, Prandtl number Pr, radiation parameter N and the frequency of oscillation […].
Rocznik
Strony
33--52
Opis fizyczny
Bibliogr. 30 poz., wykr.
Twórcy
autor
  • Devraj Group’sTechnical Campus Ferozpur, Punjab, INDIA
autor
  • Shimla-171003, INDIA
autor
  • MIMIT, Malout Punjab, INDIA
Bibliografia
  • [1] Alagoa K.D., Tay G. and Abbey T.M. (1999): Radiative and free convective effects of a MHD flow through a porous medium between infinite parallel plates with time-dependent suction. – Astrophysics and Space Science, vol.260, pp.455-468.
  • [2] Attia Hazem Ali and Ewis Karem Mahmoud (2010): Unsteady MHD Couette flow with heat transfer of a viscoelastic fluid under exponentially decaying pressure gradient. – Tamkang J. of Science and Engineering, vol.13, pp.359-364.
  • [3] Bhattacharyya S. and Pal A. (1997): Unsteady MHD squeezing flow between two parallel rotating discs. – Mech. Res. Commun., vol.24, pp.615-623.
  • [4] Choudhary R. and Das U.J. (2012): Heat transfer to MHD oscillatory viscoelastic flow in a channel filled with porous medium. – Physics Research International, doi:101155/2012/879537.
  • [5] Cogley A.C.L., Vinvent W.G. and Giles E.S. (1968): Differential approximation for radiative transfer in a non-gray near equilibrium. – American Institute of Aeronautics and Astronautics, vol.6, pp.551-553.
  • [6] Coleman B.D. and Noll W. (1960): An approximation theorem for functional, with applications in continuum mechanics. – Archive for Rational Mechanics and Analysis, vol.6, pp.355-370.
  • [7] Hamaza M.M., Isah B.Y. and Usman H. (2011): Unsteady heat transfer to MHD oscillatory flow through porous medium under slip condition. – Int. J. of Computer Application, vol.33, pp.12-17.
  • [8] Hamza E.A. (1991): The magnetohydrodynamic effects on a fluid film squeezed between two rotating surfaces. – J. Phys. D: Appl. Phys., vol.24, pp.547-554.
  • [9] Hamza E.A. (1964): The magnetohydrodynamic squeeze film. – J. Fluid Mech., vol.19, pp.395-400.
  • [10] Hayat T., Fetecaua C. and Sajid M. (2008): Analytic solution for MHD transient rotating flow of a second grade fluid in a porous space. – Nonlinear Analysis: Real World Applications, vol. 9, pp. 1619-1627.
  • [11] Hayat T., Javed T. and Abbas Z. (2008): Slip flow and heat transfer of a second grade fluid past a stretching sheet through a porous space. – Int. J. Heat Mass Transfer, vol.51, pp.4528-4534.
  • [12] Hughes W.F. and Elco R.A. (1962): Magnetohydrodynamic lubrication flow between parallel rotating discs. – J. Fluid Mech., vol.13, pp.21-32.
  • [13] Kumar A., Varshney C.L. and Sajjan Lal (2010): Perturbation technique to unsteady MHD periodic flow of viscous fluid through a planer channel. – J. of Engineering and Tech. Res., vol.2, pp.73-81.
  • [14] Maki E.R., Kuzma D., Donnelly R.L. and Kim B. (1966): Magnetohydrodynamic lubrication flow between parallel plates. – J. Fluid Mech., vol.26, pp.537-543.
  • [15] Makinde O.D. and Mhone P.Y. (2005): Heat transfer to MHD oscillatory flow in a channel filled with porous medium. – Rom. Journ. Phys., vol.50, pp.931-938.
  • [16] Markovitz H. and Coleman B.D. (1964): Incompressible second order fluids. – Advances in Applied Mechanics, vol.8, pp.69-101.
  • [17] Marques WJr., Kremer M. and Shapiro F.M. (2000): Couette flow with slip and jump boundary conditions. – Continuum Mech. Thermodynam., vol.12, pp.379-386.
  • [18] Mebine Promise and Gumus Rhoda H. (2010): On steady MHD thermally radiating and reacting thermosolutal viscous flow through a channel with porous medium. – Int. J. of Mathematics and Mathematical sciences, Article ID287435, 12 pages.
  • [19] Mehmood A. and Ali A. (2007): The effect of slip condition on unsteady MHD oscillatory flow of a viscous fluid in a planer channel. – Rom. Journ. Phys., vol.52, pp.85-91.
  • [20] Rahmann M.M. and Sarkar M.S.A. (2004): Unsteady MHD flow of viscoelastic Oldroyd fluid under time varying body forces through a rectangular channel. – Bulletin of Calcutta Mathematical Society, vol.96, pp.463-470.
  • [21] Rajgopal K.R. and Gupta A.S. (1984): An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate. – Meccanica, vol.19, pp.158-160.
  • [22] Rhodes C.A. and Rouleau W.T. (1966): Hydromagnetic lubrication of partial metal bearings. – J. Basic Eng.-T. ASME, vol.88, pp.53-60.
  • [23] Singh A.K. and Singh N.P. (1966): MHD flow of a dusty viscoelastic liquid through a porous medium between two inclined parallel plates. – Proc. of National Academy of Sciences India, vol.66A, pp.143-150.
  • [24] Singh K.D. and Devi R. (2010): Effect of slip velocity on MHD oscillatory flow through porous medium in a channel. – International Journal of Physics, vol.3, pp.75-83.
  • [25] Singh K.D. (2011): Effect of injection/suction convective oscillatory flow through porous medium bounded by two vertical porous plates. – Int. J. of Physical and Mathematical Sciences, vol.2(1), pp.140-147.
  • [26] Singh K.D. (2012): Viscoelastic mixed convection MHD oscillatory flow through a porous medium filled in a vertical channel. – Int. J. Physical and Mathematical Sciences, vol.3, pp.194-205.
  • [27] Singh K.D. and Kumar R. (2011): Fluctuating heat and mass transfer on unsteady MHD free convection flow of radiating and reacting fluid past a vertical porous plate in slip-flow regime. – J. Appl. Fluid Mech., vol.4, pp.101-106.
  • [28] Sivaraj R. and Kumar B. Rushi (2011): Chemically reacting unsteady MHD oscillating slip flow in a planer channel with varying concentration. – Int. J. of Mathematics and Scientific Computation, vol.1, pp.35-42.
  • [29] Sweet E., Vajravelu K., Robert A. Gorder Van and Pop I. (2011): Analytical solution for the unsteady MHD flow of a viscous fluid between moving parallel plates. – Commun. Nonlinear Sci. Numer. Simulat., vol.16, pp.266-273.
  • [30] Verma P.D., Sharma P.R. and Ariel P.D. (1984): Applying quasilinearization to the problem of steady laminar flow of a second grade fluid between two rotating porous disks. – J. Tribol. Trans. ASME, vol.106, pp.448-555.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a7f5abd7-2bff-45a6-b7d7-0ac658e9a46b
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