Abstract
In this paper, two-dimensional unsteady flow of incompressible fluid past a square cylinder placed in a closed finite domain is studied in the presence of an inlet linear shear velocity profile. The flow has been investigated for Reynolds number \(Re = 100\) and shear rate \(K = 0.0, 0.05, 0.1\). The governing equations are solved by using the higher order compact (HOC) finite difference scheme. The purpose of the present study is to elaborate the influence of shear rate on the vortex shedding phenomenon behind the square cylinder. The results are presented in terms of streamline pattern, vorticity contours, lift–drag coefficients, and their corresponding power spectra. It is observed that the vortex shedding phenomenon strongly depends on \(Re\) as well as \(K\). The strength and size of vortices vary as a function of \(Re\) and \(K\), but not significantly for the current values of parameters.
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