The flow of a non-Newtonian, power-law fluid, directed normally to long, two-dimensional horizontal bodies, is considered in the present note. It is found that for low Reynolds numbers (Re ≤ 0.1) and a low power-law index (shear-thinning fluids) the drag coefficient always obeys the relationship cD = A/Re, whereas at a high power-law index (shear-thickening fluids) the drag coefficient tends to...

When magma’inside a diapir solidifies it increases in density and becomes a stiff power-law fluid. If the diapir is still positively (or negatively) buoyant after solidification, it will continue to rise (or start to sink). The results presented here suggest that solidified diapirs may rise (sink) a distance of up to a few kilometres in geologically reasonable times. Rocks and bubbleand/or crys...

To achieve uniform thickness of coated films using non-Newtonian fluids, we are often required well-designed geometries of flow channel in a slot die. This is the case especially for fluids with the properties of both shear thinning and yield stress which is non-negligible in a range of low shear rate such as in an intermittent die coating. In the present work, flow in the slot die has been stu...

In this paper, we explore fluid flow caused by the presence of an insoluble surfactant on a thin, incompressible power-law fluid over a horizontal substrate. The gradient in surface tension caused by the surfactant results in fluid flow away from the region where the surfactant was deposited. Work has been conducted with Newtonian fluids and surfactants; however, the extensive effect surfactant...

In the present work an analytical and numerical study is presented in order to determine the residual fluid film thickness of a power-law fluid on the walls of a rectangular horizontal channel when it is displaced by another immiscible fluid of negligible viscosity. The mathematical model describes the motion of the displaced fluid and the interface between both fluids. In order to obtain the r...

The aim of this paper is to study the cyclone-like flow inside a hydrodynamic mixer experimentally, with a special emphasis on the differences in the flow field in the case of Newtonian and non-Newtonian fluids. The mixer consists a cylindrical body with conical bottom, in which two, tangentially entering fluid jets drive the rotating motion of the fluid body. The two fluids are (1) water and (...