Abstract
Oscillatory MHD Couette flow of electrically conducting fluid between two parallel plates in a rotating system in the presence of an inclined magnetic field is considered when the upper plate is held at rest and the lower plate oscillates non-torsionally . An exact solution of the governing equations has been obtained by using Laplace transform technique. Asymptotic behavior of the solution is analyzed for M 2 ≪1, K 2 ≪1 and ω ≪1 and for large M 2, K 2 and ω. Numerical results of velocities are depicted graphically and the frictional shearing stresses are presented in tables. It is found that a thin boundary layer is formed near the lower plate, for large values of rotation parameter K 2, Hartman number M 2 and frequency parameter ω. The thickness of this boundary layer increases with increase in inclination of the magnetic field with the axis of rotation.
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References
Hayat T, Hameed MI, Asgar S, Siddiqui AM (2004) Some steady MHD flows of the second order fluid. Meccanica 39:245–265
Hayat T, Nadeem S, Siddiqui AM, Asgar S (2004) An oscillating hydromagnetic non-Newtonian flow in a rotating system. Appl Math Lett 17:309–314
Kunen RPJ, Clercx HJH, Genrts BJ (2006) Heat flux intensification by vertical flow localization in rotating convection. Phys Rev E 74(5):056306
Figueirinhasand JL, Casquilho JP (2005) Perturbative analysis the nematic director reorientation dynamics induced in confined media. Liq Cryst 32(6):727–734
Ghosh SK (1993) Unsteady hydrodynamic flow in a rotating channel with oscillatory pressure gradient. J Phys Soc Jpn 62(11):3893
Ghosh SK, Pop I (2003) Hall effects on unsteady hydromagnetic flow in a rotating system with oscillatory pressure gradient. Int J Appl Mech Eng 8(1):43–56
Guria M, Jana RN, Ghosh SK (2006) Unsteady Couette flow in a rotating system. Int J Non-Linear Mech 41:838–843
Pai SI (1962) Magnetohydrodynamics and plasma dynamics. Springer/Prentice Hall, Berlin/Englewood Cliffs
Muhuri PK (1963) Flow formation in Couette motion in magnetohydrodynamics with suction. J Phys Soc Jpn 18(11):1671–1675
Katagiri M (1962) Flow formation in Couette motion in magnetohydrodynamics. J Phys Soc Jpn 17(2):393–396
Steinheuer J (1965) Eine exakte Losung der instationaren Couette-Stromung-Abhandlg. Braunschw Wiss Ges 17:154–164
Zierap J, Buhler K (1993) Beschleunigte Verzogerte platte mit-homogenem Ausblasen. Z Angew Math Mech 73:T527–T529
Jana RN, Datta N, Mazumder BS (1977) MHD Couette flow and heat transfer in a rotating system. J Phys Soc Jpn 42:1034
Mondal G, Mandal KK, Choudhury G (1982) Hall effects on MHD plasma Couette flow in a rotating system. J Phys Soc Jpn 51:2010
Mondal G, Mandal KK (1983) Effect of Hall current on MHD Couette flow between thick arbitrarily conducting plate in a rotating system. J Phys Soc Jpn 52(2):470–477
Ghosh SK, Pop I (2004) Hall effects on MHD Couette flow in a rotating environment. Int J Appl Mech Eng 9(2):293–305
Ghosh SK (2002) Effects of Hall current on MHD Couette flow in a rotating system with arbitrary magnetic field. Czechoslov J Phys 52(1):51–63
Ghosh SK, Pop I (2006) An analytical approach on MHD plasma behavior of a rotating environment in the presence of an inclined magnetic field as compared to excitation frequency. Int J Appl Mech Eng 11(4):845–856
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Guria, M., Das, S., Jana, R.N. et al. Oscillatory Couette flow in the presence of an inclined magnetic field. Meccanica 44, 555–564 (2009). https://doi.org/10.1007/s11012-009-9195-1
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DOI: https://doi.org/10.1007/s11012-009-9195-1