Title: Wall effects in flow past a rigid stationary sphere enclosed in a rectangular channel

Authors: Asterios Pantokratoras

Addresses: School of Engineering, Democritus University of Thrace, 67100 Xanthi, Greece

Abstract: The effect of finite boundaries on the drag coefficient applied in a sphere enclosed in a rectangular channel has been investigated numerically. The three-dimensional Navier-Stokes equations along with continuity equation in Cartesian coordinates have been solved numerically. The investigation covers the Reynolds number range from 0.1 up to 300 and channel half width-to-sphere radius ratio R/r from low value to unconfined case. It is found that when the sphere is close to channel walls the flow is unsteady and when the sphere lies away from the walls the flow becomes steady for Re ≤ 200. For Re = 300 the flow is unsteady for confined and unconfined cases. For Re = 300, both the drag coefficient and Strouhal number decrease as the R/r ratio increases and reach a constant value at the unconfined state.

Keywords: sphere; drag; rectangular; unsteady; steady.

DOI: 10.1504/PCFD.2020.109902

Progress in Computational Fluid Dynamics, An International Journal, 2020 Vol.20 No.5, pp.307 - 313

Accepted: 16 Dec 2019
Published online: 02 Sep 2020 *

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