Abstract
Numerical solutions of the unsteady Navier-Stokes equations are presented for the two dimensional flow about a cylinder immersed in a simple shear flow by using the integrodifferential formulation. Selected numerical results for Reynolds numbers 40 and 80 shear parametersK=0.1 and 0.2 are presented and compared with finite-difference results. Plots of streamlines and equi-vorticity lines and time histories of lift, drag, stagnation point and separation angles are given. It was found that two separation bubbles exist periodically behind the lowvelocity side of the cylinder; a main bubble and a secondary one, while there is only one bubble behind the high-velocity side. Numerical results showed that the lift force acts in the direction towards the low-velocity side of the free stream and its magnitude varies periodically with the nondimensional time. In addition, the magnitude of the lift force is approximately proportional to the shear parameterK.
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