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Hartmann two-fluid Poiseuille-Couette flow in an inclined channel

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A numerical and analytical study of a two fluid magnetohydrodynamic Poiseuille-Couette flow in an inclined channel is investigated. The fluids in both the regions are incompressible, electrically conducting and the transport properties are assumed to be constant. The channel walls are assumed to be electrically insulating. Separate solutions for each fluid are obtained and these solutions are matched at the interface using suitable matching conditions. The governing equations of motion are solved analytically and are valid for small Eckert numbers and numerically valid for large . Solutions for large show a marked change on the velocity and temperature profiles. The results are presented graphically for various Hartmann number, Grashof number, angle of inclination and also for various ratios. It is found that the flow can be controlled effectively by a suitable choice of values of ratios of electrical conductivities, widths, viscosities and thermal conductivities.
Rocznik
Strony
539--557
Opis fizyczny
Bibliogr. 23 poz., tab., wykr.
Twórcy
  • Department of Civil Engineering, National Chi Nan University 1 Univ. Rd., Puli, Nantou, Taiwan 545, R.O.C., jc_uma11@yahoo.com
Bibliografia
  • Alireza S. and Sahai V. (1990): Heat transfer in developing magnetohydrodynamic Poiseuille flow and variable transport properties. - Int. J. Heat Mass Transfer, vol.33, pp.1711-1720.
  • Alpher R.A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. - Int. J. Heat and Mass Transfer, vol.3, pp.108-112.
  • Andereck C.D., Colovas P.W., Degan M.M. and Renardy Y.Y. (1998): Instabilities in two layer Rayleigh-Benard convection: overview and outlook. - Int. J. Eng. Sci., vol.36, pp.1451-1470.
  • Attia H.A. (1999): MHD flow and heat transfer between two parallel plates with temperature dependent viscosity. - Mech. Res. Comm., vol.26, pp.115-121.
  • Catton I. (1978): Natural convection in enclosure. - 6th National Heat Transfer Conference, vol.6, pp.13-43.
  • Chamkha A.J. (1995): Hydromagnetic two-phase flow in a channel. - Int. J. Eng. Sci., vol.33, pp.437-446.
  • Degen M.M., Colovas P.W. and Andereck C.D. (1988): Time dependent patterns in the two-layer Rayleigh-Benard system. - Phys. Rev. E., vol.57, pp.6647-6659.
  • Hazem Ali Attia (2008): The effect of variable properties on the unsteady Couette flow with heat transfer considering the hall effect. - Comm. Nonlinear Sci. and Num. Simulation, vol.13, pp.1506-1604.
  • Jha B.H. (2001): Natural convection in unsteady MHD Couette flow. - Heat and Mass Transfer, vol.37, pp.329-331.
  • Kumar S. (2007): A mathematical model for the MHD Couette flow through porous medium with heat transfer. - International Conference: Dynamical Systems and Applications, Turkey.
  • Lohrasbi J. and Sahai V. (1988): Magnetohydrodynamic heat transfer in two phase flow between parallel plates. - Appl. Sci. Res., vol.45, pp.53-66.
  • Malashetty M.S. and Umavathi J.C. (1997): Two phase magnetohydrodynamic flow and heat transfer in an inclined channel. - Int. J. Multiphase Flow, vol.23, pp.545-560.
  • Malashetty M.S., Umavathi J.C. and Prathap Kumar J. (2001): Convective magneto-hydro-dynamic two fluid flow and heat transfer in an inclined channel. - Heat and Mass Transfer, vol.37, pp.259-264.
  • Malashetty M.S., Umavathi J.C. and Prathap Kumar J. (2006): Magnetoconvection of two-immiscible fluids in a vertical enclosure. - Heat and Mass Transfer, vol.42, pp.977-993.
  • Ogulu A. and Sandile Motsa (2005): Radiative heat transfer to magnetohydrodynamic Couette flow with variable wall temperature. - Phys. Scr., vol.71, pp.336-339.
  • Packham B.A. and Shail R. (1971): Stratified laminar flow of two immiscible fluids. - Proc. Camb. Phil. Soc., vol.69, pp.443-448.
  • Raithby G.D. and Hollands K.G.T. (1984): Natural Convection. In: Handbook of Heat Transfer, eds., W.M. Rohsnow, J.P. Hartnett and E. Genic, 2nd edition. - New York: McGraw-Hill.
  • Romig M.F. (1961): The influence of electric and magnetic fields on heat transfer to Electrically conducting fluids. - Adv. Heat Transfer, T.F. Jr. Irvine and J.P. Hartnett (Eds.), 1, New York: Academic Press.
  • Shail R. (1973): On laminar two-phase flow in magnetohydrodynamics. - Int. J. Eng. Sci, vol.11, pp.1103-1108.
  • Soundalgekar V.M. and Uplekar A.G. (1986): Hall effects in MHD Couette flow with heat transfer. - IEEE Trans. Plasma Sci., vol.14, pp.579-583.
  • Tan C.W. (1970): Magnetohydrodynamic Couette flow with transpiration cooling. - Appl.Sci. Res., vol.23, pp.167-184.
  • Umavathi J.C., Malashetty M.S. and Mateen A. (2004): Fully developed flow and heat transfer in a horizontal channel containing an electrically conducting fluid sandwiched between two fluid layers. - Int. J. Applied Mechanics and Eng., vol.9, pp.781-794.
  • Umavathi J.C., Mateen A., Chamkha A.J. and Ali Al-Mudhaf (2006): Oscillatory Hartmann two-fluid flow and heat transfer in a horizontal channel. - Int. J. Applied Mechanics and Eng., vol.11, pp.155-178.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0041-0017
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