The influence of transverse surface roughness on EHL characteristics has been investigated numerically using an extensive set of full EHL line contact simulations for shear-thinning lubricants under pure sliding condition. The shear-thinning behavior of lubricant is modeled using Carreau viscosity equation along with Doolittle-Tait equation for lubricant compressibility. The surface roughness i...

Numerical simulation was performed to analyze flow field and heat transfer developed inside a deep-channel, single-screw cheese stretcher channel. Modifications to the traditional flat-plate model of single-screw extruder geometry were applied to address flight effects and channel curvature effects. The finite difference and finite element methods were used to obtain numerical solutions to the ...

The Ka canov method is an iteration method for solving nonlinear problems. In this paper, we apply the Ka canov method to solve the problem of quasi-Newtonian ow obeying the Carreau law. The emphasis of the paper is the derivation of a posteriori error estimate for Ka canov iterates. A numerical example shows the eeciency of the error estimate.

S.Lambard, I.Galeraud-Denis, G.Martin, R.Levy, A.Chocat and S.Carreau UPRES EA 2608-USC INRA, University of Caen, Department of Genetics and Reproduction, CHRU Clemenceau, Caen 14032 and Laboratory of Reproductive Biology, Hopital Nord, 42055 Saint-Etienne, France To whom correspondence should be addressed at: UPRES EA 2608, USC INRA, Université IRBA, esplanade de la Paix, 14032 Caen cedex, Fra...

This article addresses the effects of homogeneous-heterogeneous reactions in peristaltic transport of Carreau fluid in a channel with wall properties. Mathematical modelling and analysis have been carried out in the presence of Hall current. The channel walls satisfy the more realistic convective conditions. The governing partial differential equations along with long wavelength and low Reynold...

We study the rheology of semi-dilute solutions of the sodium salt of calf-thymus DNA in the linear and nonlinear regimes. The frequency response data can be fitted very well to the hybrid model with two dominant relaxation times τ0 and τ1. The ratio (τ0=τ1) 5 is seen to be fairly constant on changing the temperature from 20 to 30C. The shear rate dependence of viscosity can be fitted to the Car...

We consider the nite element approximation of a non-Newtonian ow, where the viscosity obeys a general law including the Carreau or power law. For suuciently regular solutions we prove energy type error bounds for the velocity and pressure. These bounds improve on existing results in the literature. A key step in the analysis is to prove abstract error bounds initially in a quasi-norm, which nat...

In this paper the drag-out problem for shear-thinning liquids at variable inclination angles is considered. For this free boundary problem dimension-reduced lubrication equations are derived for the most commonly used viscosity models, namely, the power-law, Ellis, and Carreau model. For the resulting lubrication models a system of ordinary differential equations governing the steady state solu...