On the Perturbations of Viscous Rotating Newtonian Fluids

Transport in Viscous Rotating Fluids

We consider a uniformly rotating viscous incompressible fluid and estimate particle transport in the vertical direction (parallel to the rotation axis). We prove that for short time and regular initial data, strong rotation suppresses the vertical gradient of flow maps. The proof uses a diffusive Lagrangian formalism, and the suppression of the vertical gradient is a natural and direct byproduc...

Flow of Newtonian and non-Newtonian fluids in a concentric annulus with a rotating inner cylinder

We examine the characteristics of helical flow in a concentric annulus with radii ratios of 0.52 and 0.9, whose outer cylinder is stationary and inner cylinder is rotating. Pressure losses and skin friction coefficients are measured for fully developed flows of water and a 0.4% aqueous solution of sodium carboxymethyl cellulose (CMC), when the inner cylinder rotates at the speed of 0~62.82 rad/...

Numerical simulation of the oscillations of non-newtonian viscous fluids with a free surface

Non-Newtonian uids are increasingly being transported by a variety of vehicles. It has been observed that vehicles containing such uids demonstrate behaviour which could be explained only by non-linearity characteristics of such uids. In this paper small oscillations of non-Newtonian uids in tanks are considered. A numerical method suitable for both Newtonian and non-Newtonian uids is suggested...

Time evolution of the linear perturbations of a rotating Newtonian polytrope

We present the results of numerical time evolutions of the linearised perturbations of rapidly and rigidly rotating Newtonian polytropes while making the Cowling approximation. The evolution code runs stably for hundreds of stellar rotations, allowing us to compare our results with previously published eigenmode calculations, for instance the f-mode calculations of Ipser & Lindblom, and the r-m...

Non-newtonian Fluids