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Exact solution of MHD mixed convection periodic flow in a rotating vertical channel with heat radiation

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Języki publikacji
EN
Abstrakty
EN
Magnetohydrodynamic (MHD) mixed convection flow of a viscous, incompressible and electrically conducting fluid in a vertical channel is analyzed analytically. A magnetic field of uniform strength is applied perpendicular to the planes of the channel walls. The fluid is acted upon by a periodic variation of the pressure gradient in the vertically upward direction. The temperature of one of the plates is non-uniform and the temperature difference of the walls of the channel is high enough to induce heat transfer due to radiation. The fluid and the channel rotate in unison with an angular velocity about the axis normal to the plates of the channel. An exact analytical solution of the problem is obtained. Two cases of small and large rotation have been considered to assess the effects of different parameters involved in the flow problem. The velocity field, the amplitude and the phase angle of the shear stress are shown graphically and discussed in detail. During analysis it is found that the flow problem studied by Makinde and Mhone (2005) is incorrect physically and mathematically.
Rocznik
Strony
853--869
Opis fizyczny
Bibliogr. 23 poz., wykr.
Twórcy
autor
  • Department of Mathematics (ICDEOL) H. P. University, Shimla-171005, India
Bibliografia
  • Attia H.A. and Kotb N.A. (1996): MHD flow between two parallel plates with heat transfer. – Acta Mech., vol.117, pp.215-220.
  • Chandran P., Sacheti N.C. and Singh A.K. (1993): Effect of rotation on unsteady hydromagnetic Couette flow. – Astrophysics and Space Sci., vol.202, pp.1-10.
  • Chang C.C. and Lundgren T.S. (1961): Duct flow in magnetohydrodynamics. – Z. Angew. Math. Phys. (ZAMP), vol.12, pp.100-114.
  • 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.
  • Crammer K.R. and Pai S.I. (1973): Magneto Fluid Dynamics for Engineers and Applied Physicists. – New York: McGraw-Hill Book Co.
  • Ferraro V.C.A. and Plumpton C. (1966): An Introduction to Magneto Fluid Mechanics. – Oxford: Clarandon Press.
  • Gupta A.S. (1972): Magnetohydrodynamic Ekmann layer – Acta Mech., vol.13, pp.155-160.
  • Jana R.N. and Datta N. (1977): Couette flow and heat transfer in a rotating system. – Acta Mech., vol.26, pp.301-306.
  • Makinde O.D. and Mhone P.Y. (2005): Heat transfer to MHD oscillatory flow in a channel filled with oporous medium. – Rom. Journ. Phys., vol.50, pp.931-938.
  • Prasad R.D.R.V., Krishna D.V. and Devnath L. (1982): Combined effect of free and forced convection on MHD flow in a rotating porous channel. – Int. J. Math. And Math. Sci., vol.5, pp.165-182.
  • Schlichting H. and Gersten K. (2001): Boundary layer theory. – McGraw-Hill, pp.137.
  • Seth G.S., Jana R.N. and Maiti M.K. (1982):Unsteady hydromagnetic Couette flow in a rotating system. – Int. J. Engng. Sci., vol.20, pp.989-999.
  • Shercliff J.A. (1965): A Text Book of Magneto Hydrodynamics. – New York: Pergamon Press Ltd.
  • Singh A.K., Sacheti N.C. and Chandran P. (1994): Transient effects on magnetohydrodynamic Couette flow with rotation: Accelerated motion. – Int. J. Engng. Sci., vol. 32, pp.133-139.
  • Singh K.D. (2000): An oscillatory hydromagnetic Couette flow with transpiration cooling. – Z. Angew. Math. Mach. (ZAMM), vol.80, pp.429-432.
  • Singh K.D. (2011): Exact solution of an oscillatory MHD flow in a channel filled with porous medium. – Int. J. Appl. Mech. And Engng. (IJAME), vol.16, No.1, pp.277-283.
  • Singh K.D. and Garg B.P. (2010): Exact solution of an oscillatory free convective MHD flow in a rotating porous channel with radiative heat. – Proc. Nat. Acad. Sci. India, vol.80, pp.81-89.
  • Singh K.D. and Reena P. (2010): An analysis of an oscillatory rotating MHD Poiseuille flow with injection/suction and Hall currents. – Proc. Indian Natn. Sci. Acad., vol.76, pp.201-207.
  • Singh K.D., Gorla M.G. and Hans R. (2005): A periodic solution of an oscillatory Couette flow through porous medium in a rotating system. – Indian J. Pure and Appl. Math., vol.36, pp.151-159.
  • Singh K.D. and Rakesh K. (2009): Combined effects of Hall current and rotation on free convection MHD flow in a porous channel. – Indian J. Pure and Appl. Phys., vol.47, pp.617-623. Soundalgekar V.M. and Pop I. (1973): On hydromagnetic flow in a rotating fluid past an infinite porous plate. – Z.
  • Angew. Math. Mach. (ZAMM), vol.53, pp.718-719.
  • Vidyanidhu V. and Nigam S.D. (1967): Secondary flow in a rotating channel. – J. Math. And Phys. Sci., vol.1, pp.85-100.
  • Yen J.T. and Chang C.C. (1964): Magnetohydrodynamic Couette flow as affected by wall conductance. – Z. Angew. Math. Phys. (ZAMP), vol.15, pp.400-407.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e7d01e45-3b13-4183-a3e4-df9215629f7a
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