Numerical Solution of Unsteady Viscous Incompressible Fluid Flow past a Circular Cylinder

Abstract

Kawaguti and Jain have reported a systematic numerical investigation of unsteady viscous incompressible fluid flow past a circular cylinder for obtaining limiting steady‐state solutions at Reynolds numbers up to 50. After removing the symmetry conditions the flow pattern has been studied to investigate the existence of the limiting steady state or the Kármán vortex street numerically at Reynolds number $\text{R\hspace{0.17em}=\hspace{0.17em}40}$ , 60, 100, and 200. At $\text{R\hspace{0.17em}=\hspace{0.17em}40}$ and 60, steady‐state solutions have been obtained and found to be in agreement with the other results. Results at $\text{R\hspace{0.17em}=\hspace{0.17em}100}$ and 200 are also reported. Figures have been drawn to show the dependence of the flow pattern, the vorticity distribution, the pressure distribution, and the drag on the Reynolds number and the time.