Numerical Study of Shear Flow Past Two Flat Inclined Plates at Reynolds Numbers 100, 200 Using Higher Order Compact Scheme

Abstract

In this study, an incompressible two-dimensional flow across two flat inclined plates is investigated numerically using a Higher-order compact (HOC) finite difference scheme. The shear parameter values $P = 0.0, 0.1$ are used to simulate simulations for two Reynolds numbers (Re), 100 and 200. Each plate is of length “d” and the shortest distance between the plates is exactly half of the plate’s length (i.e., 0.5d). Plate-1 and Plate-2 are inclined with angles of attack (i.e., with x-axis), $\alpha = (\pi -45^{\circ })$ and $-\alpha$, respectively. The impact of the Reynolds numbers and shear rate on the process of vortex shedding is investigated from the perspective of stream function, vorticity contours, center-line velocity fluctuation, and phase diagrams. The numerical findings show not only the influence of vortex shedding from two flat inclined plates in shear flow but also several important flow generating properties with P and Re. This is the first time, to our knowledge, a numerical investigation has been performed to study the vortex shedding phenomena for two flat inclined plates with angles of attacks, $\alpha = (\pi -45^{\circ })$ and $-\alpha$ respectively.