Abstract

Oscillatory How in a two-dimensional symmetric wavy-walled channel is studied by means of a finite element method over wide ranges of How parameters of the Reynolds and Strouhal numbers. Two-dimensional numerical computations show the variations of How separation and wall shear stress with time. The fluid motion is found to be most unstable in the limited Strouhal number range of 0.02-0.03 as the Reynolds number increases. That is, time and spatial periodicities of the How are not established. Steady streaming induced by oscillatory motion is also examined, and the vortex strength for the steady streaming has a peak at this Strouhal number range, independent of the Reynolds number.

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