Moffatt eddies

Moffatt eddies are sequences of eddies that develop in corners bounded by plane walls (or sometimes between a wall and a free surface) due to an arbitrary disturbance acting at asymptotically large distances from the corner. Although the source of motion is the arbitrary disturbance at large distances, the eddies develop quite independently and thus solution of these eddies emerges from an eigenvalue problem, a self-similar solution of the second kind.

The eddies are named after Keith Moffatt, who discovered these eddies in 1964,[1] although some of the results were already obtained by William Reginald Dean and P. E. Montagnon in 1949.[2] Lord Rayleigh also studied the problem of flow near the corner with homogeneous boundary conditions in 1911.[3] Moffatt eddies inside cones are solved by P. N. Shankar.[4]

  1. ^ Moffatt, H. K. (1964). "Viscous and resistive eddies near a sharp corner". Journal of Fluid Mechanics. 18 (1): 1–18. Bibcode:1964JFM....18....1M. doi:10.1017/S0022112064000015. S2CID 123251976.
  2. ^ Dean, W. R.; Montagnon, P. E. (1949). "On the steady motion of viscous liquid in a corner". Mathematical Proceedings of the Cambridge Philosophical Society. 45 (3). Cambridge University Press: 389–394. Bibcode:1949PCPS...45..389D. doi:10.1017/S0305004100025019. S2CID 122817160.
  3. ^ Rayleigh, L. (1911). XXIII. Hydrodynamical notes. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 21(122), 177-195.
  4. ^ Shankar, P. N. (2005). "Moffatt eddies in the cone". Journal of Fluid Mechanics. 539: 113–135. Bibcode:2005JFM...539..113S. doi:10.1017/S0022112005005458. S2CID 58910487.

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