Abstract
An analytical solution is given that describes the transient growth and decay of an axial disturbance in a line vortex flow. The solution serves two functions. First, it illustrates the essential mechanisms whereby vorticity is amplified by swirl and annihilated by viscous diffusion. Second, it provides a nontrivial test case, involving significant small-scale structure, for numerical solutions of the general incompressible Navier–Stokes equations at high Reynolds numbers.
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