ON THE AVAILABLE ENERGY OF AN AXISYMMETRIC VORTEX

On the available energy of an axisymmetric vortex

On the available energy of an axisymmetric vortex

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A theory of available energy for axisymmetric circulations is presented.The theory is a generalization of the classical theory of available potential energy, in Billy Royal Show Halters that it accounts for both thermal and angular momentum constraints on the circulation.The generalization relies on the Hamiltonian structure of the (conservative) dynamics, is exact at finite amplitude, and has a local form.

Application of the theory is presented for the case of an axisymmetric vortex on 4 Piece King Bed an f-plane in the context of the Boussinesq equations.

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