On a translating and transversely oscillating cylinder: Part 2: Effect of the velocity ratio on the hydrodynamic forces and the near-wake structure |
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| Authors: | Serpil Kocabiyik Phu Nguyen |
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| Institution: | a Department of Applied Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2;b Department of Applied Mathematics, University of Western Ontario, London, Ontario, Canada N6A 5B7 |
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| Abstract: | The unsteady flow past a circular cylinder which starts translating and transversely oscillating from rest in a viscous fluid is investigated at a Reynolds numbers of R=103 and at a Strouhal number of π/4 and for the maximum oscillatory to translational velocity ratios between 0.1 and 1.0. This study is based on numerical solutions of the two-dimensional unsteady Navier–Stokes equations. The object of the study is to examine the effect of increase of velocity ratio on the near-wake structure as well as the hydrodynamic forces acting on the cylinder. For all velocity rates a periodic structure of vortex evaluation and shedding develops which is repeated exactly as time advances. Vortex dynamics close behind the body are affected by changing acceleration of the cylinder and a changeover from one mode to a different mode of vortex formation is observed with increase in velocity ratio. A comparison of the present results with the impulsively started translating case has been included to illustrate the effect of velocity ratio on drag at small values of velocity ratio. |
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| Keywords: | Unsteady Incompressible Viscous Oscillating Cylinder |
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