Three-Dimensionality in Quasi-Two Dimensional Flows: the Barrel Effects

Details Three-Dimensionality in Quasi-Two Dimensional Flows: the Barrel Effects Three-Dimensionality in Quasi-Two Dimensional Flows: the Barrel Effects

2011-11-12

arxiv.org/abs/1111.2950v1

Physics

Fluid Dynamics

4 pages, 1 Figure

Scientific paper

A scenario is put forward for the appearance of three-dimensionality both in quasi-2D rotating flows and quasi-2D magnetohydrodynamic (MHD) flows. We distinguish two forms of threedimensionalities, establish how both are ignited by the presence of walls, and how they relate to each other. One form involves velocities or currents along the rotation direction or the magnetic field, while the other leads to quadratic variations of these quantities along this direction. It is shown that the common tendency of these flows to two-dimensionality and the mechanisms of the first form of three-dimensionality can be explained through a single formal analogy between rotating flows, MHD flows and a wider class of flows, whereas the second form involves a distinct mechanism. Because of this trans-disciplinary character, these phenomena are active in such diverse flows as those in atmospheres, oceans and the cooling blankets of nuclear fusion reactors.

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