The flow of polymer solutions past solid obstacles or through porous media gives rise to rich
physical phenomena over a wide range of spatial and temporal scales. Viscoelasticity, in …

Many important biological functions depend on microorganisms' ability to move in
viscoelastic fluids such as mucus and wet soil. The effects of fluid elasticity on motility remain …

We analyse the electrophoresis of a weakly charged particle with a thin double layer in a
dilute polymer solution. The particle velocity in polymer solutions modelled with different …

This study examines the movement of a small freely rotating spherical particle in a two-
dimensional trajectory through a viscoelastic fluid described by the Giesekus model. The …

A ubiquitous arrangement in nature is a free-flowing fluid coupled to a porous medium, for
example a river or lake lying above a porous bed. Depending on the environmental …

Flow of an Oldroyd-B fluid in a slowly varying contraction: theoretical results for arbitrary
values of Deborah number in the ul Page 1 J. Fluid Mech. (2024), vol. 988, A10, doi:10.1017/jfm.2024.223 …

Elastic stress concentration at the tips of long slender objects moving in viscoelastic fluids
has been observed in numerical simulations, but despite the prevalence of flagellated …

The effect of nonuniform viscosity on the swimming velocity of a free swimmer at zero
Reynolds number is examined. Using the generalized reciprocal relation for Stokes flow with …

At low Reynolds numbers,“swirlers”–swimmers with an axisymmetric “head” and “tail”
counterrotating about the axis of symmetry–generate no net propulsion in a Newtonian fluid …

The unsteady, lineal translation of a solid spherical particle through viscoelastic fluids
described by the Johnson-Segalman and Giesekus models is studied analytically. Solutions …