Flow Past Spherical Particles in a Wide Range of Re

Flow Past Spherical Particles in a Wide Range of Re 

For Re 0.5, asymptotic solutions no longer give an adequate description of translational flow of a viscous fluid past a spherical particle. 

Numerous available numerical solutions the Navier-Stokes equations, as well as experimental data (see a review in [94]), provide a detailed analysis of the flow pattern for increasing Reynolds numbers. For 0.5 Re 10, there is no flow separation, although the fore-and-aft symmetry typical of inertia-free Stokes flow past a sphere is more and more distorted. Finally, at Re = 10, flow separation occurs at the rear of the particle. 

At Re 65, the vorticity region in the rear area ceases to be stable and becomes unsteady. At 65 Re 200, a long oscillating wake is formed behind the particle, which gradually becomes turbulent for 200 Re 1.5 x 105. Simultaneously, the separation point moves upstream according to the law [94] 

For Re 1500, the corresponding hydrodynamic problems can be solved by methods of the boundary layer theory [427], However, because of the flow 

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