Turbulization of free shear flows: 3D perturbations

Physics – Plasma Physics

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Couette Flow, Disturbing Functions, Magnetohydrodynamic Flow, Perturbation Theory, Turbulence, Axisymmetric Flow, Flow Equations, Magnetohydrodynamic Waves, Nonlinear Equations, Shear Flow, Three Dimensional Flow

Scientific paper

A theory of free smooth shear flows turbulization, that may be applied to other flows turbulized by finite amplitude perturbations, is proposed. Analytical calculations are performed for three dimensional perturbations. The proposed turbulization scenario is based on the specific evolution of the linear and nonlinear processes and it is an alternative to the Landau turbulization scenario. The mathematical formalism of the problem under examination is presented, together with analysis of the drift of the disturbance spatial Fourier harmonics in the space of the wave numbers. A case of two dimensional disturbances is discussed in order to expose the physics of the energy exchange between the main flow and disturbances at the linear stage in a free Couette flow. An analysis of the evolution of three dimensional disturbances is given.

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