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Decay of a potential vortex in an Oldroyd-B fluid. (English) Zbl 1211.76008
Summary: Analytical expressions for the velocity field and the associated tangential tension corresponding to a potential vortex in an Oldroyd-B fluid are determined by means of the Hankel transform. The well-known solutions for a Navier-Stokes fluid as well as those corresponding to a Maxwell fluid and a second grade one, appear as limiting cases of our solutions. Finally, some comparative diagrams are presented for the circular motion of the glycerine. In each case, the velocity fields as well as the adequate tangential tensions are going to zero for \(t\) or \(r \rightarrow \infty \). Consequently, the potential vortex is damping in time and space.

76A05 Non-Newtonian fluids
76A10 Viscoelastic fluids
76D17 Viscous vortex flows
Full Text: DOI
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