# On the unsteady and lineal translation of a sphere through a viscoelastic fluid

@inproceedings{Joens2021OnTU, title={On the unsteady and lineal translation of a sphere through a viscoelastic fluid}, author={Mary A. Joens and J. Swan}, year={2021} }

The unsteady, lineal translation of a solid spherical particle through viscoelastic fluids described by the Johnson-Segalman and Giesekus models is studied analytically. Solutions for the pressure and velocity fields as well as the force on the particle are expanded as a power series in the Weissenberg number. The momentum balance and constitutive equation are solved asymptotically for a steadily translating particle up to second order in the particle velocity, and rescaling of the pressure and… Expand

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