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Steady planar straining flow past a rigid sphere at moderate Reynolds number. (English) Zbl 1062.76015
From the summary: This study focuses on the effect of spatial non-uniformity in the ambient flow on the forces acting on a spherical particle at moderate particle Reynolds numbers. A scaling analysis is performed to obtain conditions under which such effects are important. A direct numerical simulation, based on spectral methods, is used to compute the three-dimensional time-dependent flow past a stationary sphere subject to a uniform flow plus a planar straining flow. The particle Reynolds number, Re, in the range 10 to 300 covering different flow regimes, from unseparated flow to unsteady vortex shedding, is considered. We investigate a variety of strain magnitudes and orientations, and give a systematic comparison with potential flow results and axisymmetric strain results.

76D99 Incompressible viscous fluids
76M22 Spectral methods applied to problems in fluid mechanics
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