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The Quarterly Journal of Mechanics and Applied Mathematics 1980 33(1):77-92; doi:10.1093/qjmam/33.1.77
© 1980 by Oxford University Press
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PULSATILE FLOW THROUGH CONSTRICTED OR DILATED CHANNELS

P. W. DUCK {dagger}

( Department of Aeronautical and Astronautical Engineering, The Ohio State University Columbus, Ohio 43210, USA )

The high Reynolds number pulsatile flow through a distorted channel, or axisymmetric pipe, is studied. The channel distortion is of height and of length where {alpha} is the slope of the perturbation, {alpha} the undistorted channel width, and K is the Reynolds number. The frequency of oscillation of the driving pressure gradient is chosen such that the Stokes-layer thickness is of the same order as the distortion height. The non-dimensional amplitude of velocity oscillation of the driving flow is first set to be , resulting in a nonlinear problem. However as this amplitude becomes larger, asymptotic analysis becomes possible, leading us to consider O(1) oscillation amplitudes of the velocity of the driving flow.



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