Fluctuating boundary layers in a rotating fluid with variable suction
Author:
R. Purushothaman
Journal:
Quart. Appl. Math. 36 (1979), 428-433
MSC:
Primary 76D10; Secondary 35Q99
DOI:
https://doi.org/10.1090/qam/520124
MathSciNet review:
520124
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Abstract: The viscous flow in a semi-infinite fluid above a porous oscillating disk with unsteady normal velocity in a rotating frame is studied. Expressions for velocity and skin friction are obtained. For the case of suction, the oscillations are contained in boundary layers of finite thickness. In the case of injection, resonance occurs when the imposed frequency is twice the angular velocity of rotation. It is found that the resonance can be avoided under certain conditions.
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R. E. Kelly, Quart. J. Mech. Appl. Math. 28, 287 (1965)
- J. T. Stuart, A solution of the Navier-Stokes and energy equations illustrating the response of skin friction and temperature of an infinite plate thermometer to fluctations in the stream velocity, Proc. Roy. Soc. London Ser. A 231 (1955), 116–130. MR 71208, DOI https://doi.org/10.1098/rspa.1955.0160
S. A. S. Messiha, Proc. Camb. Phil. Soc. 62, 329 (1966)
R. Purushothaman, J. Inst. Math. Appl. 20, 257 (1977)
L. Debnath and S. Mukherjee, Phys. Fluids 16, 1418 (1973)
C. Thornley, Quart. J. Mech. Appl. Math. 21, 451 (1968)
R. E. Kelly, Quart. J. Mech. Appl. Math. 28, 287 (1965)
J. T. Stuart, Proc. Roy. Soc. London. A 231, 116 (1955)
S. A. S. Messiha, Proc. Camb. Phil. Soc. 62, 329 (1966)
R. Purushothaman, J. Inst. Math. Appl. 20, 257 (1977)
L. Debnath and S. Mukherjee, Phys. Fluids 16, 1418 (1973)
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Article copyright:
© Copyright 1979
American Mathematical Society
