Burger's vortex

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Burger's vortex

Exact solution of the Navier–Stokes equations for a steady vortex in which the diffusion of vorticity is balanced by vortex stretching in an external strain field.

The vortex has a Gaussian shape. For example, for a vertical axisymmetric vortex in an external velocity field given by
ams2001glos-Be32
the vorticity is
ams2001glos-Be33
in which ν is the kinematic viscosity.

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