© 1980 by Oxford University Press
PULSATILE FLOW THROUGH CONSTRICTED OR DILATED CHANNELS

( 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
is the slope of the perturbation,
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.