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MHD Oscillatory Flow past a Semi-Infinite Plate

1977; American Institute of Aeronautics and Astronautics; Volume: 15; Issue: 4 Linguagem: Inglês

10.2514/3.60646

1533-385X

V. M. Soundalgekar, H. S. Takhar,

Fluid Dynamics and Vibration Analysis

Theme L IGHTHILL studied effects of small amplitude oscillations and Lin studied effects of finite amplitude oscillations on the boundary-layer flow. Lighthill's results were experimentally confirmed by Hill and Stenning. They assumed the freestream to consist of a constant mean velocity over which is superimposed a purely time-dependent oscillatory flow. Kestin et al. and Patel studied the effects of oscillatory progressive wave type of freestream on the boundary-layer flow. In the energy equation, the viscous dissipation effects were neglected by Kestin et al. So taking into account viscous dissipative heat, Kestin's problem was solved again by Takhar and Soundalgekar. We now consider the effects of a transverse magnetic field on the flow past a semi-infinite plate, taking into account the progressive wave type of disturbance in the freestream. By assuming the disturbance in the form (/oo(0 =U0(1 + te), a similar problem was solved by Evans. Evans solved it by assuming a series in powers of two parameters s(wx/w0), the Strouhal number, and \(oByx/pU0 = Ha//Re), the magnetic field parameter. We have solved the problem by assuming a series in powers of Vs only and x > 1 • The induced magnetic field is assumed to be negligible (Cowling) which is true when magnetic Reynolds numer is small.