The role of passive body dynamics on the kinematics of swimming micro-organisms in complex fluids is investigated. Asymptotic analysis of small amplitude motions of a finitelength undulatory swimmer in a Stokes-Oldroyd-B fluid is used to predict shape changes that result as body elasticity and fluid elasticity are varied. Results from the analysis are compared with numerical simulations, and th...

There are currently only a few theoretical studies on convective heat transfer in polymer nanocomposites. In this paper, the unsteady incompressible flow of a polymer nanocomposite represented by an Oldroyd-B nanofluid along a stretching sheet is investigated. Recent studies have assumed that the nanoparticle fraction can be actively controlled on the boundary, similar to the temperature. Howev...

This paper presents a new stabilized finite element method for incompressible viscoelastic fluids. A three-field formulation is developed wherein Oldroyd-B model is coupled with the mass and momentum conservation equations for an incompressible viscous fluid. The variational multiscale (VMS) framework is employed to develop a stabilized formulation for the coupled momentum, continuity and stres...

The performance of several engineering applications are strictly connected to the rheology working fluids and Oldroyd-B model is widely employed describe a linear viscoelastic behaviour. In present paper, buoyant flow in vertical porous layer with permeable isothermal boundaries investigated. Seepage modelled through an extended version Darcy’s law which accounts for rheology. basic stationary ...

Unidirectional unsteady flows of the incompressible Burgers’ fluids between two infinite horizontal parallel plates are analytically studied when magnetic and porous effects taken into consideration. The fluid motion is induced by plates, which move in their planes with time-dependent velocities. Exact general expressions established both for dimensionless velocity shear stress fields as well c...