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...

Abstract Type of lubricant used for fluid film bearings is one the most important factors to consider. Bearing characteristics have maintain steady throughout a wide range conditions. However, viscosity, which primary properties, highly deviates depending on environmental and operational Macro-molecular micro-structure lubricants strongly correlated temperature shear rate, leading thinning beha...

Non-Newtonian fluid flow in a stenosed coronary bypass is investigated numerically using the Carreau-Yasuda model for the shear thinning behavior of the blood. End-to-side coronary bypass anastomosis is considered in a simplified model geometry where the host coronary artery has a 75% severity stenosis. Different locations of the bypass graft to the stenosis and different flow rates in the graf...

In the present investigation we analyze the impact of magnetic field on the stagnation-point flow of a generalized Newtonian Carreau fluid. The convective surface boundary conditions are considered to investigate the thermal boundary layer. The leading partial differential equations of the current problem are altered to a set of ordinary differential equations by picking local similarity transf...

In modern applied mathematics, engineering, and the physiological world, concept of peristalsis is great significance. The present article concentrates on peristaltic movement Carreau-Yasuda fluid through planner micro-channel under influence magnetic field partial slip conditions. governing system equations are nondimensionalized transformed using basic assumptions such as long wavelength low ...