Magnetohydrodynamic Unsteady Free Convection Flow Of a Viscoelastic Fluid Along a Vertical Plate
The unsteady free convection flow of an incompressible electrically conducting viscoelastic fluid past an oscillating vertical plate in the presence of a transverse magnetic field has been studied. The flow phenomena have been characterized by the nondimensional numbers P (Prandtl number), G (Grashof number), m (magnetic number), ω (frecuency number) and k (viscoelastic parameter). It is found that the temperature profile may be compared with a damped harmonic wave propagating in a direction perpendicular to the plate. The dimensionless temperature as well as the thermal boundary layer δT increase with the decrease of P. The effects of P, G and m on the velocity field ur and velocity boundary layer thickness δ for the viscoelastic fluid are similar to that for a Newtonian fluid. As k increases, ur and b increase simultaneously. Opposite effects are noticed at a certain distance away from the plate. The skin friction rr at the plate is estimated for different values of P, G, m and k.
J.C.WILLIAMS, J.C.MULLIGAN and T.B.RHYNE, J.Fluid Mech., 175, 309, 1987.
J.C.T.WANG, J. Fluid Mech., 155, 413, 1985.
K.NANBU, Int.J. Heat Mass Trallsfer, 14, 1531, 1971.
C.R.ILLINGWORTH, Proc. Camb. Phil. Soc., 46, 603, 1950.
A.K.RAO, Appl. Scient. Res., AlO, 141, 1961.
R.S.NANDA and V.P.SHARMA, J.Phys. Soc. Japan, 17, 1651, 1962.
E.R.MENOLD and K.T.YANG, J.Appl. Mech., 29, 124, 1962.
J.A.SCHETZ and R.EICHHORN, J. Heat Transfer, Trans. ASME, 84C, 334, 1962.
R.J.GOLDSTEIN and D.C.BRIGGS, J. Heat Transfer, Trans. ASME, 86C, 490, 1964.
A.S.GUPTA, Appl. Scient. Res., A9, 319, 1960.
S.S.CHAWLA, Z. Angew. Math. Mech., 47, 499, 1967.
V.M.SOUNDALGEKAR, Indian J. Pure App. Math., 3, 426, 1972.
S.P.MISHRA and P.MOHAPATRA, Indian J. Pure Appl. Math., 6, 901, 1975.
S.HAQ, C.KLEINSTREUER and J.C.MULLIGAN, J. Heat Transfer, Tans. ASME, 110, 604, 1988.
A.V.SHENOY and R.A.MASHELKAR, Adv. in Heat Transfer, 15, 143, 1982.
D.W.BEARD and K.WALTERS, Proc. Cambridge Phil. Soc., 60,667, 1964.
M.J.LIGHTHILL, Proc. R. Soc., A224, 1, 1954.
J.STUART, Proc. Roy.Soc., A231, 116, 1955.
S.A.S.MESSIHA, Proc. Camb. Phil. Soc., 62, 329, 1966.
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