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Numerical Analysis of Flows around a Sphere
Genichiro Ebe,Etsuo Morishita 한국항공우주학회 2008 한국항공우주학회 학술발표회 논문집 Vol.- No.-
A sphere is a simple structure and it is used in many things, particularly in sports fields. A soccer ball is an example. There exists a critical Reynolds number around at Re = 10? and sharp drag reduction is observed. This is caused by a transition from a laminar boundary layer to a turbulent one. The present authors attempt to analyze a flow around a sphere numerically. Our particular interest is to invcstigatc the three-dimensional unsteady flow of a sphere. The MAC method is used to solve the incompressible Navier Stokes equations. A special grid is developed for the present calculations. Singularities around poles are carefully avoided by combining two polar meshes. It is found that the wake of a sphere is complicated and unsteady movements is dominant at Re = 10³~10⁴ range. The periodicity is also observed, although it is not regular as in the two-dimensional Karman vortex street. Two of the three vortex components are stationary on the latter surface of a sphere, while the rest of the vortex components shows a very complex movement. The present study might contribute to the understanding of the How around the soccer ball, together will, other spherical objects in the sports field.