In this chapter we introduce the fundamental concepts in Newtonian and complex fluid mechanics, beginning with the basic underlying assumptions in continuum mechanical modeling. The equations of mass and momentum conservation are derived, and the Cauchy stress tensor makes its first of many appearances. The Navier–Stokes equations are derived, along with their inertialess limit, the Stokes equa...

This thesis includes a theoretical and experimental analysis of electrophoresis of colloidal particles in non-Newtonian polymeric fluids with shear-rate dependent viscosities. A model is derived that predicts field dependent electrophoretic mobility in shear-thinning Carreau fluids. The latter effect is experimentally investigated for submicron particles in solutions of linear polyacrylamide us...

the effect of weak shear thickening and shear thinning on the stability of the taylor-couette flow is explored for a carreau-bird fluid in the narrow-gap limit. the galerkin projection method is used to derive a low-order dynamical system from the conservation of mass and momentum equations. in comparison with the newtonian system, the present equations include additional nonlinear coupling in ...

Mathematical modeling of blood flows in the arteries is an important and challenging problem. This study investigates the pulsatile simulations of blood flow through two three-dimensional models of an arterial stenosis and an aneurysm. Four non-Newtonian blood models, namely the Power Law , Casson, Carreau and the Generalized Power Law, as well as the Newtonian model of blood viscosity, are use...

The wide occurrence of peristaltic pumping should not be surprising at all since it results physiologically from neuro-muscular properties of any tubular smooth muscle. Of special concern here is to predict the rheological effects on the peristaltic motion in a curved channel. Attention is focused to develop and simulate a nonlinear mathematical model for Carreau-Yasuda fluid. The progressive w...