caa a22 4500 397499779 CHVBK 20180308164530.0 cr unu---uuuuu 161202e199505 xx s 000 0 eng 10.1093/qjmam/48.2.285 doi (NATIONALLICENCE)oxford-10.1093/qjmam/48.2.285 SMITH S. H. Department of Mathematics, University of Toronto, Toronto, Canada M5S 1A1 STRUCTURAL CHANGES IN TRANSIENT STOKES FLOW [Elektronische Daten] [S. H. SMITH] In his numerical study of oscillatory Stokes flow past particular axisymmetric bodies, Pozrikidis (6) described the process of separation from the body together with the development and decay of eddies in the fluid. Here we extend his results in three different directions. First, the limiting situation is considered when the frequency of oscillations is small, with a description of the singular perturbation features of the resulting flow; the fundamental problem which describes the manner in which separation occurs is formulated in general, and solved for a spheroid. Secondly, some fairly general conditions are presented under which separation takes place from the surface of a sphere when the streaming motion has a variable velocity; these indicate that such a phenomenon should be seen as a common occurrence. Last, the flow due to an oscillatory stokeslet inside a sphere is considered, and it is found that the behaviour is effectively quasisteady for the complete cycle except for a brief period shortly after the reversal in the forcing term; even for moderate values of the frequency this transition occupies less than one per cent of the cycle. © Oxford University Press Articles nationallicence The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 48/2(1995-05), 285-309 0033-5614 48:2<285 1995 48 qjmamj https://doi.org/10.1093/qjmam/48.2.285 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/qjmam/48.2.285 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- SMITH S. H. Department of Mathematics, University of Toronto, Toronto, Canada M5S 1A1 NATIONALLICENCE 773 0- The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 48/2(1995-05), 285-309 0033-5614 48:2<285 1995 48 qjmamj Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford