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The evolution of linearized perturbations in a magnetohydrodynamic boundary layer

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The evolution of linearized perturbations in a magnetohydrodynamic shear flow is studied using the initial value problem approach. Here the resulting equation in time posed by using the Fourier transform is solved for the Fourier amplitudes for modeled boundary layer for different initial disturbances. The shear flow prototype here is a piecewise linear approximation of a magnetohydrodynamic boundary layer. The initial disturbances that are considered are a point source of the field of transverse velocity and magnetic field. Solutions are obtained for small values of Alfve’n velocity. The velocity plots are drawn for different values of Alfve’n velocity.
Rocznik
Strony
397--406
Opis fizyczny
Bibliogr. 15 poz., wykr.
Twórcy
  • Department of Mathematics Maharani’s Science College for Women Bangalore – 560 001, INDIA
  • Department of Mathematics, Central College Bangalore University Bangalore – 560 001, INDIA
Bibliografia
  • [1] Criminale W.O. and Drazin P.G. (2000): The initial-value problem for a modeled boundary layer. - Phys. Fluids, vol.12(2), p.366.
  • [2] Douglas J., 1 Eun-jin Kim and Thyagaraja A. (2008): Effects of flow shear and Alfvén waves on two-dimensional magnetohydrodynamic turbulence. - Physics of Plasmas 15, 23.
  • [3] Hains F.D. (1965): Stability diagrams for magnetogasdynamic channel flow. - Phys. Fluids, vol.8(11), p.2014.
  • [4] Hunt J.C.R. (1966): On the stability of parallel flows with parallel magnetic field. - Proc. R. Soc. Lond. A, vol.293, p.342.
  • [5] Knobloch K. (1984): The stability of stratified shear flow. - Geophysics and Astrophysics, Fluid Dynamics, vol.29, p.105.
  • [6] Kumari M. and Nath G. (1999): MHD Boundary layer flow of a non-Newtonian fluid over a continuously moving surface with a parallel free stream. - Acta Mechanica, 146, 139.
  • [7] Lerner J. and Knobloch E. (1985): The stability of dissipative magnetohydro-dynamic shear flow in a parallel magnetic field. - Geophysics and Astrophysics, Fluid Dynamics, vol.33, pp.295-314.
  • [8] Mishonov T.M., Maneva Y.G., Dimitrov Z.D. and Hristov T.S. (2013): On the theory of MHD waves in a shear flow of a magnetized turbulent plasma. - Astrophysics. 1,12.
  • [9] Newton A.P and Kim E.J. (2009): Investigation into the dual role of shear flow in 2D MHD turbulence. - Phys. Rev. Lett. Apr. 24; 102(16):165002.
  • [10] Núñez, Manuel (2012): MHD shear flows with non-constant transverse magnetic field. - Physics Letters A, 376, 19, 1624.
  • [11] Ruderman M.S. and Brevdo L. (2006): Stability of an MHD shear flow with a piecewise linear velocity profile. - Astron. and Astrophys., 448, 1177.
  • [12] Ruderman M.S. and Belov N.A. (2010): Stability of MHD shear flows: Application to space physics. - Journal of Physics: Conference Series, vol.216, 1.
  • [13] Stuart J.T. (1954): On the stability of viscous flow between parallel planes in the presence of co-planar magnetic field. - Proc. R. Soc. Lond., vol.A 221, p.189.
  • [14] Uddin Md. Jashim, Waqar A. Khan mail and Ismail A.I. Md. (2013): MHD Forced Convective Laminar Boundary Layer Flow from a Convectively Heated Moving Vertical Plate with Radiation and Transpiration Effect. - PLOS ONE, 20.
  • [15] Venkatachalappa M. and Soward A.M. (1990): The stability of stratified conducting shear flow in an aligned magnetic field. - Geophysics and Astrophysics, Fluid Dynamics, vol.54, p.109.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-fd7ddf67-6e4f-4fef-930a-def0ab673fea
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