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Unsteady hydromagnetic Couette flow due to ramped motion of one of the porous plates

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An unsteady flow formation in Couette motion of an electrically conducting fluid subject to transverse magnetic field has been analyzed in the presence of suction/injection through the porous plates when one of the porous plates is in ramped motion. It is assumed that the porous plates are uniformly permeable and the fluid is entering the flow region through one of the porous plates at same rate as it is leaving through the other porous plate. The resulting boundary value problem has been solved exactly under the assumption of a negligible induced magnetic field, external electric field and pressure gradient. Unified closed form expressions for the velocity field and skin-friction corresponding to the case of a magnetic field fixed relative to the fluid or to the moving porous plate have been presented. In order to highlight the impact of the ramp motion of the porous plate on the fluid flow, it has also been compared with Couette flow between porous plates when one of the porous plates has been set into an impulsive motion.
Rocznik
Strony
1039--1056
Opis fizyczny
Bibliogr. 16 poz., wykr.
Twórcy
autor
  • Department of Mathematics, Faculty of Science Ahmadu Bello University, Zaria, NIGERIA
autor
  • Department of Mathematics, Faculty of Science Ahmadu Bello University, Zaria, NIGERIA
Bibliografia
  • Abramowitz B.M. and Stegun I.A. (1965): Handbook of Mathematical Functions. - New York: Dover.
  • Carslaw H.S. and Jaeger J.C. (1963): Operational Methods in Applied Mathematics (2nd Edition). - New York: Dover.
  • Chandran P., Sacheti N.C. and Singh A.K. (1993): Effects of rotation on unsteady hydromagnetic Couette flow. - Astrophysics and Space Science, vol.20, Issue 29, pp.1-10.
  • Guria M., Jana R.N. and Ghosh S.K. (2006): Unsteady Couette flow in a rotating system. - Int. Jr. of Non-Linear Mechanics, vol.41, pp.838-843.
  • Hartmann L. (1937): Hg-dynamics 1. Theory of laminar flow of an electrically conductive liquid in a homogeneous magnetic field. Kg.1. Danske videnskabernes selskab. - Math. Fys. Medd., vol.15.
  • Hassanien A. and Mansour M.A. (1990): Unsteady magneto hydrodynamic flow through a porous medium between two parallel plates. - Astrophysics and Space Sciences, vol.163, pp.241-246.
  • Jha B.K. and Apere C.A. (2010): Combined effect of Hall and ion slip currents on unsteady MHD Couette flows in a rotating system. - Phys. Soc. Jpn, vol.79, pp.104401-9.
  • Jha B.K. and Jibril H.M. (2012): Effects of transpiration on the MHD flow near a porous plate having ramped motion. - Journal of the Physical Society of Japan, vol.81, pp.024401-6.
  • Katagiri M. (1962): Flow formation in Couette motion in magneto-hydrodynamics. - Jr. of Physical Soc. of Japan, vol.17,11, p.393.
  • Longwell P.A. (1966): Mechanics of Fluid Flow. - New York: McGraw-Hill Company, p.158.
  • Panton R.L. (1996): Incompressible Flow (second edition). - New York: J. Wiley, p.310.
  • Schlichting H. and Gerstein K. (2000): Boundary Layer Theory. - 8th revised and enlarged edition (English). New York: Springer- Verlag.
  • Shalybkov D.A. (2006): Hydrodynamic and hydromagnetic stability of the Couette flow. - Physiks - Uspekhi, vol.52, 9, pp.915-935.
  • Singh A.K. and Kumar N. (1983): Unsteady magneto-hydrodynamics Couette flow. - Wear, vol.89, p.125.
  • Singh A.K., Sacheti N.C. and Chandran P. (1994): Transient effects on magneto hydrodynamic Couette flow with rotation accelerated motion. - Int. Jr. Eng. Sciences, vol.32, pp.133-139.
  • White F.M. (1991): Viscous Fluid Flow (second edition). - New York: McGraw-Hill Company.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-72caebe6-a5a1-433a-b19a-dcdf5876f01a
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