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A point source solution for unidirectional flow of a viscoelastic fluid. (English) Zbl 1220.76012

Summary: A Fourier point source solution modelling the effect of an impulse on a viscoelastic fluid of second-grade is investigated. By examining the second-moment of a Fourier point source solution we show that for \(Dt\ll 1\), where \(D=\nu /\alpha \) for \(\nu \) the kinematic viscosity, \(\alpha \) a viscoelastic parameter and \(t\) the time; the fluid undergoes superdiffusion indicating the dominance of the fluids viscoelastic properties. For \(Dt\gg 1\) the fluid undergoes classical diffusion indicating that the viscous properties of the fluid are dominating.

MSC:

76A10 Viscoelastic fluids
76R05 Forced convection
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