Blood flow rheology is a complex phenomenon. Presently there is no universally agreed upon model to represent the viscous property of blood. However, under the general classification of non-Newtonian models that simulate blood behavior to different degrees of accuracy, there are many variants. The power law, Casson and Carreau models are popular non-Newtonian models and affect hemodynamics quan...

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 Background and Aims Diaphragm pressure transducers can cause the dialysis process to be performed at higher quality. Pressure transduction is committed concave, disc-shaped, impervious membranes that divide respective chambers into two hermetically separate compartments: one contains liquid (blood/dialysate) while in other there trapped air. One of sensitive parts design a machine diap...

In this article we present a generalized theoretical model for the continuous separation of particles using the pinched flow fractionation method. So far the theoretical models have not been able to predict the separation of particles without the use of correction factors. In this article we present a model which is capable of predicting the separation from first principles. Furthermore we comm...