We will study the fully developed flow of a generalized second-grade fluid down an inclined plane. The viscosity is not only a function of the shear rate shear-thinning or shear-thickening but also depends on the temperature in an exponential way. The effects of radiation boundary condition at the free surface are considered. The boundary value problem is solved numerically, and the velocity an...

A biologically plausible model of the early thickening of the arterial intima has been developed to interpret experimental data relating hemodynamic shear to human intimal morphology. The model included many processes known or commonly believed to take place in the vascular intima, including: smooth muscle cell migration, proliferation, metabolism, and expression of extracellular matrix; lipopr...

We consider a variant of the classical ‘Rayleigh problem’ (‘Stokes’s first problem’) in which a semi-infinite region of initially quiescent fluid is mobilised by a shear stress applied suddenly to its boundary. We show that self-similar solutions for the fluid velocity are available for any generalised Newtonian fluid, regardless of its constitutive law. We demonstrate how these solutions may b...

We study the rheology of a two-fluid emulsion in semiconcentrated conditions; solute is Newtonian while solvent an inelastic power-law fluid. The problem at hand tackled by means direct numerical simulations using volume fluid method. analysis performed for different fractions and viscosity ratios under assumption negligible inertia zero buoyancy force. Several carrier fluids are considered enc...

We experimentally investigate the interplay of viscous fingering and fracturing in a radial Hele–Shaw cell displacing non-Newtonian (shear-thickening) fluid. have used cornstarch suspension different compositions (39%–48% w/w dispersed water–CsCl solution), rheology exhibits shear thickening behavior beyond rate 1 s−1. observe transition from to dendritic morphology critical weight fraction sus...

Mode coupling theory (MCT) appears to explain several, though not all, aspects of the glass transition in colloids (particularly when short-range attractions are present). Developments of MCT, from rational foundations in statistical mechanics, account qualitatively for nonlinear flow behaviour such as the yield stress of a hard-sphere colloidal glass. Such theories so far only predict shear th...