Linear stability and weakly nonlinear analysis of the flow past rotating spheres
期刊名称： Journal of Fluid Mechanics
作者： Citro, V.,Tchoufag, J.,Fabre, D.,Giannetti, F.,Luchini, P.
年份： 2016年
关键词： bifurcation;instability;wakes
摘要：We study the flow past a sphere rotating in the transver direction with respect to the incoming uniform flow, and particularly consider the stability
features of the wake as a function of the Reynolds number and the sphere dimensionless rotation rate . Direct numerical simulations and three-dimensional global stability analys are performed in the ranges and . We first describe the
ba flow, computed as the steady solution of the NavierâS tokes equation, with special attention to th
e structure of the recirculating region and to the lift force exerted on the sphere. The stability analysis of this ba flow shows the existence
of two different unstable modes, which occur in different regions of the parameter plane. Mode I, which exists for weak rotations ( ), is similar to the unsteady mode existing for a non-rotating sphere.
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