A point source solution for unidirectional flow of a viscoelastic fluid

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≪1, where D=ν/α for ν the kinematic viscosity, α a viscoelastic parameter and t the time; the fluid undergoes superdiffusion indicating the dominance of the fluids viscoelastic properties. For Dt≫1 the fluid undergoes classical diffusion indicating that the viscous properties of the fluid are dominating.