Dynamical Systems Seminar: Amrik Sen
A weak-wave turbulence theory for fluid flows in the limit of rapid rotation
Applied Mathematics,Ìý
Date and time:Ìý
Thursday, April 25, 2013 - 3:15pm
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A weak-wave turbulence theory for rapidly rotating flows is developed in this paper. The governing equations are an asymptotically reduced set of equations that are derived from the incompressible Navier-Stokes equations. These equations are applicable for rapidly rotating flow regimes and are best suited to describe anisotropic dynamics of rotating flows. The independent variables of these equations inherently reside in a helical wave basis that is the most suitable basis for inertial waves. A coupled system of equations for the two global invariants, energy and helicity, is derived. Stationary solutions, including Kolmogorov solutions, for the flow invariants are obtained as a scaling law of the anisotropic wave numbers. The scaling law solutions compare affirmatively with results from recent experimental and simulation data.
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