Spatially periodic Stokes flow stirred by a rotlet interior to a closed corrugated boundary

Pravica, D. W.; Ranger, K. B.

doi:10.1090/qam/1121678

Authors: D. W. Pravica and K. B. Ranger
Journal: Quart. Appl. Math. 49 (1991), 453-461
MSC: Primary 76D07
DOI: https://doi.org/10.1090/qam/1121678
MathSciNet review: MR1121678
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Abstract: Spatially periodic solutions of the creeping flow equations are found for the stream function in which the motion is stirred by a two-dimensional rotlet in the region interior to a closed corrugated boundary. Streamlines are given for different geometrical configurations. In some cases there is separation of the streamlines in the crevices of the corrugation.

N. Phan-Thien, C. J. Yoh, and M. B. Bush, Viscous flow through a corrugated tube by boundary element method, Z. Angew. Math. Phys. 36, 474 (1985)

K. B. Ranger, Separation of streamlines for spatially periodic flow at zero Reynolds numbers, Quart. Appl. Math. 47 (1989), no. 2, 367–373. MR 998109, DOI https://doi.org/10.1090/S0033-569X-1989-0998109-X