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Exact solutions for the incompressible electrically conducting viscous flow between two moving parallel disks in unsteady magneto hydrodynamic and stability analysis

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The main interest of the present investigation is to generate exact solutions to the steady Navier-Stokes equations for the incompressible Newtonian viscous electrically conducting fluid flow motion and stability due to disks moving towards each other or in opposite directions with a constant velocity. Making use of the analytic solution, the description of possible conditions of motion is based on the exact solutions of the Navier-Stokes equations. Both stationary and transient cases have been considered. The stability of motion is analyzed for different initial perturbations. Different types of stability were found according to whether the disks moved towards or away from each other.
Rocznik
Strony
571--579
Opis fizyczny
Bibliogr. 9 poz., wykr.
Twórcy
  • Department of Mathematics Central College, Bangalore University Bangalore-560 001, India
  • Department of Mathematics Vemana Institute of Technology Bangalore-560 034, India
Bibliografia
  • Aristov S.N. and Gitman I.M. (2002): Viscous flow between two moving parallel disks: exact solutions and stabilityanalysis. - J. Fluid Mechanics, vol.464, pp.209-215.
  • Chandrasekhar S. (1997): Hydrodynamic and Hydromagnetic Stability. - Dover.
  • Craik A. (1989): The stability of unbounded two-and three-dimensional flows subject to body forces: some exactsolutions. - J. Fluid Mechanics, vol.198, pp.275-293.
  • Craik A. and Criminale W. (1986): Evolution of wavelike disturbances in shear flows: a class of exact solutions of theNavier-Stokes equations. - Procedings of Royal Society London, vol.A406, pp.13-36.
  • Ganesh S. and Krishnambal S. (2007): Unsteady magnetohydrodynamic Stokes flow of viscous fluid between twoparallel porous plates. - J. Applied Sciences, vol.7, No.3, pp.374-379.
  • Hayat T., Sohail Nadeem, Asghar S. and Siddiqui A.M. (2006): Unsteady MHD flow due to eccentrically rotatingporous disk and a third grade fluid at infinity. - Int. J. of Applied Mechanics and Engineering, vol.11, pp.415-419.
  • Kempegowda M. and Balagondar P.M. (2012): Exact solutions of non-Newtonian fluid flow between two movingparallel disks and stability analysis. - Applied Mathematical Sciences, vol.6, vol.37, pp.1827-1835.
  • Lagnado R., Phan-Thien N. and Leal L. (1984): The stability of two-dimensional linear flows. - Physics of Fluids, vol.27, pp.1094-1101.
  • Rajagopal K.R. (1992): Flow of viscoelastic fluids between rotating disks. - Theor. Comput. Fluid Dynamics, vol.3, pp.185-206.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-013d5a70-785b-40c9-8376-68cd296212e8
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