The development of viscous wakes in a stokes flow when a particle is near a large obstacle

✍ Scribed by A.M.J. Davis; M.E. O'Neill

• Publisher: Elsevier Science
• Year: 1977
• Tongue: English
• Weight: 750 KB
• Volume: 32
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(77)80076-6

✦ Synopsis

If the axlsymmetnc Stokes streammg flow past a small spherical partxle close to a large spherical obstacle IS modelled by a sphere and plane m an axlsymmetnc stagnation pomt flow, It IS shown that the flow separates from the boundanes d the centre of the sphere IS less than about 9 09 tunes tts radms from the plane Separation first occurs from the plane, followed by separation from the sphere when its centre IS 6 57 times its radius from the plane At the onset of separation, wakes form on the boundaries, these wakes coalescing when the sphere IS about 5 37 times its radius from the plane For smaller clearances, a cylmder of fluid hnks the sphere and the plane, the tluld m tbs cylrnder rotatmg m one or more rmg vortices, the number of these vortxes mcreasmg as the distance between the sphere and the plane 1s decreased When the sphere touches the plane, there 1s then an mlimte set of nested rmg vortices enclosrng the contact pomt