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Some asymmetric Stokes flows that are structurally similar. (English) Zbl 0781.76022

This paper considers the creeping flows generated by a disk moving edgewise parallel to a rigid wall or free surface, a disk oscillating edgewise in unbounded fluid and a hole in the rigid plane that bounds a shear flow excited by a parallel moving plane. The resulting integral equations for the first disk problem are similar to those solved for the corresponding broadside motion.

MSC:

76D07 Stokes and related (Oseen, etc.) flows
35Q30 Navier-Stokes equations
Full Text: DOI

References:

[1] DOI: 10.1016/0301-9322(78)90002-2 · Zbl 0384.76074 · doi:10.1016/0301-9322(78)90002-2
[2] DOI: 10.1016/0301-9322(87)90030-9 · Zbl 0616.76038 · doi:10.1016/0301-9322(87)90030-9
[3] DOI: 10.1063/1.858104 · Zbl 0744.76044 · doi:10.1063/1.858104
[4] DOI: 10.1017/S0022112091003312 · Zbl 0850.76137 · doi:10.1017/S0022112091003312
[5] DOI: 10.1007/BF00127482 · Zbl 0772.76016 · doi:10.1007/BF00127482
[6] DOI: 10.1063/1.857780 · Zbl 0704.76018 · doi:10.1063/1.857780
[7] DOI: 10.1093/qjmam/44.3.471 · Zbl 0746.76026 · doi:10.1093/qjmam/44.3.471
[8] Stokes G. G., Trans. Cambridge Philos. Soc. 9 pp 8– (1851)
[9] DOI: 10.1017/S0022112086001428 · Zbl 0611.76048 · doi:10.1017/S0022112086001428
[10] DOI: 10.1017/S0022112088001107 · Zbl 0658.76031 · doi:10.1017/S0022112088001107
[11] DOI: 10.1017/S0022112062000026 · Zbl 0102.19804 · doi:10.1017/S0022112062000026
[12] DOI: 10.1016/0009-2509(67)80047-2 · doi:10.1016/0009-2509(67)80047-2
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