Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

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


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.


References [Enhancements On Off] (What's this?)

  • [1] 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)
  • [2] K. B. Ranger, Separation of streamlines for spatially periodic flow at zero Reynolds numbers, Quart. of Appl. Math. 47, 367-373 (1989) MR 998109

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DOI: https://doi.org/10.1090/qam/1121678
Article copyright: © Copyright 1991 American Mathematical Society

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