Creeping Thermocapillary Motion of a Newtonian Droplet Suspended in a Viscoelastic Fluid

Rheology of cubic particles suspended in a Newtonian fluid.

Many real-world industrial processes involve non-spherical particles suspended in a fluid medium. Knowledge of the flow behavior of these suspensions is essential for optimizing their transport properties and designing processing equipment. In the present work, we explore and report on the rheology of concentrated suspensions of cubic-shaped colloidal particles under steady and dynamic shear fl...

Homogenized Non-Newtonian Viscoelastic Rheology of a Suspension of Interacting Particles in a Viscous Newtonian Fluid

Our study is motivated by an attempt to develop a rigorous mathematical model of a suspension highly filled with a large number of small solid particles, which interact due to surface forces. We use asymptotic analysis in the small parameter , and consider irregular (nonperiodic) geometries for which the sizes of particles and the distances between them are of order . We present conditions unde...

Peristaltic Viscoelastic Fluid Motion in a Tube

Peristaltic motion of viscoelastic incompressible fluid in an axisymmetric tube with a sinusoidal wave is studied theoretically in the case that the radius of the tube is small relative to the wavelength. Oldroyd flow has been considered in this study and the problem is formulated and analyzed using a perturbation expansion in terms of the variation of the wave number. This analysis can model t...

Newtonian Limit for Weakly Viscoelastic Fluid Flows

This article addresses the low Weissenberg asymptotic analysis (Newtonian limit) of some macroscopic models of viscoelastic fluid flows in the framework of global weak solutions. We investigate the convergence of the corotational Johnson-Segalman, the FENE-P, the Giesekus and PTT models. Relying on a priori bounds coming from energy or free energy estimates, we first study the weak convergence ...

The unsteady motion of a sphere in a viscoelastic fluid