Analysis & Applied Math

In this talk, I will first review the boundary layer problem and flow separation in a viscous incompressible fluid past a rigid cylindrical obstacle undergoing constant, but fast rotation (compared to a uniform background flow). Then, I will show how to solve the boundary layer equations, give a solvability criterion for the matched asymptotic expansion, and compare our findings with the geometric Feynman–Lagerstrom criterion recently revisited by Drivas–Iyer–Nguyen. New features seem to arise from the competition between the vorticity production and rotation-induced tangential transport, leading to boundary layer behaviour distinct from the classical Prandtl or Stokes layers. This is a joint work with Y. Maekawa, Kyoto University.

U. Victoria and Fields Institute