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Abstrakty
Effects of Hall current on an unsteady hydromagnetic Couette flow, induced due to an accelerated movement of the lower plate of the channel in a rotating system when the fluid flow is permeated by an inclined magnetic field is studied. An exact solution for the fluid velocity is obtained by the Laplace transform technique. The expression for the shear stress at the moving plate is also derived. An asymptotic behavior of the solution is analyzed for small and large values of time to gain some physical insight into the flow-pattern. It is found that Hall current, rotation and angle of inclination of the magnetic field tend to accelerate fluid flow in both the primary and secondary flow directions, whereas the magnetic field has a tendency to retard fluid flow in both the primary and secondary flow directions.
Rocznik
Tom
Strony
835--849
Opis fizyczny
Bibliogr. 30 poz., wykr.
Twórcy
autor
autor
autor
- Department of Applied Mathematics Indian School of Mines, Dhanbad-826004, INDIA, gsseth_ism@yahoo.com
Bibliografia
- Abramowitz M. and Stegun I.A. (1972): Handbook of Mathematical Functions with Formulas - New York: Dover Publications, Inc..
- Chandran P., Sacheti N.C. and Singh A.K. (1993): Effect of rotation on unsteady hydromagnetic Couette flow - Astrophys. Space Sci., vol.202, pp.1-10.
- Cowling T.G. (1957): Magnetohydrodynamics - New York: Interscience.
- Cramer K.R. and Pai S.I. (1973): Magnetofluiddynamics for Engineers and Applied Physicists - New York: McGraw Hill Book Company.
- Das S., Maji S.L., Guria M. and Jana R.N. (2009): Unsteady MHD Couette flow in a rotating system - Math. Comp. Modelling, vol.50, pp.1211-1217.
- Davidson P.A. (2001): An Introduction to Magnetohydrodynamics - Cambridge: Cambridge Univ. Press.
- Ghosh S.K. (2002): Effects of Hall current on MHD Couette flow in a rotating system with arbitrary magnetic field - Czech. J. Phys., vol.52, pp.51-63.
- Ghosh S.K. and Pop I. (2004): Hall effects on MHD plasma Couette flow in a rotating environment - Int. J. Appl. Mech. Engng., vol.9, pp.293-305.
- Guria M., Das S., Jana R.N. and Ghosh S.K. (2009): Oscillatory Couette flow in the presence of an inclined magnetic field - Meccanica, vol.44, pp.555-564.
- Hayat T., Nadeem S. and Asghar S. (2004a): Hydromagnetic Couette flow of an Oldroyd-B fluid in a rotating system - Int. J. Engng. Sci., vol.42, pp.65-78.
- Hayat T., Nadeem S., Siddiqui A.S. and Asghar S. (2004b): An oscillating hydromagnetic non-Newtonian flow in a rotating system - Appl. Math. Let., vol.17, pp.609-614.
- Hayat T., Wang Y. and Hutter K. (2004c): Hall effects on the unsteady hydromagnetic oscillatory flow of a second-grade fluid - Int. J. Non-Linear Mech., vol.39, pp.1027-1037.
- Jana R.N. and Datta N. (1980): Hall effects on MHD Couette flow in a rotating system - Czech. J. Phys., vol.B 30, pp.659-667.
- Katagiri M. (1962): Flow formation in Couette motion in magnetohydrodynamics - J. Phys. Soc. Japan, vol. 17, pp. 393-396.
- Mandal G. and Mandal K.K. (1983): Effects of Hall current on MHD Couette flow between thick arbitrarily conducting plates in a rotating system - J. Phys. Soc. Japan, vol.52, pp.470-477.
- Mandal G., Mandal K.K. and Choudhury G. (1982): On combined effects of Coriolis force and Hall current on steady MHD Couette flow and heat transfer - J. Phys. Soc. Japan, vol.51, pp.2010-2015.
- Mclachlan N.W. (1947): Complex Variable and Operational Calculus with Technical Applications - New York: Cambridge University Press.
- Meyer R.C. (1958): On reducing aerodynamic heat-transfer rates by magnetohydrodynamic techniques - J. Aero. Sci., vol.25, pp.561-572.
- Muhuri P.K. (1963): Flow formation in Couette motion in Magnetohydrodynamics with suction - J. Phys. Soc. Japan, vol.18, pp.1671-1675.
- Seth G.S. and Ahmad N. (1985): Effects of Hall current on MHD Couette flow and heat transfer in a rotating system - Proc. ISTAM., vol.30, pp.177-188.
- Seth G.S. and Banerjee B. (1988): Effects of Hall current on oscillatory hydromagnetic Couette flow in a rotating system - Proc. Math. Soc. BHU., vol.4, pp.71-78.
- Seth G.S. and Ghosh S.K. (1986): Unsteady hydromagnetic flow in a rotating channel in the presence of oblique magnetic field. - Int. J. Engng. Sci., vol.24, pp.1183-1193.
- Seth G.S., Ansari Md. S. and Nandkeolyar R. (2010): Unsteady hydromagnetic Couette flow within porous plates in a rotating system. - Adv. Appl. Math. Mech., vol.2, pp.286-302.
- 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.
- Seth G.S., Nandkeolyar R. and Ansari Md. S. (2009): Hall effects on oscillatory hydromagnetic Couette flow in a rotating system. - Int. J. Acad. Res., vol.1, pp.6-17.
- Seth G.S., Singh R. and Mahto N. (1988): Oscillatory hydromagnetic Couette flow in a rotating system. - Ind. J. Tech., vol.26, pp.329-333.
- Singh A.K. and Kumar N. (1983): Unsteady magnetohydrodynamic Couette flow. - Wear, vol.89, pp.125-129.
- 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 in a rotating system - ZAMM., vol.80, pp.429-432.
- Singh K.D. and Kumar R. (2009): Combined effects of Hall current and rotation on free convection MHD flow in a porous channel. - Ind. J. Pure and App. Phys., vol.47, pp.617-623.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0017-0035