Lattice Boltzmann Method (LBM) is used to simulate the lid driven cavity flow to explore the mechanism of non-Newtonian fluid flow. The power law model is used to represent the class of non-Newtonian fluids (shear-thinning and shear-thickening fluids) by considering a range of 0.8 to 1.6. Investigation is carried out to study the influence of power law index and Reynolds number on the variation...

Keywords: Lattice Boltzmann Method D2Q9 model Two-sided square cavity Four-sided square cavity Bounce-back boundary condition a b s t r a c t This work is concerned with the computation of two-and four-sided lid-driven square cavity flows and also two-sided rectangular cavity flows with parallel wall motion by the Lattice Boltzmann Method (LBM) to obtain multiple stable solutions. In the two-si...

A minimal kinetic model is used to study analytically and numerically flows at a mi-crometer scale. Using the lid-driven microcavity as an illustrative example, the interplay between kinetics and hydrodynamics is quantitatively visualized. The validity of various theories of non-equilibrium thermodynamics of flowing systems is tested in this nontrivial microflow.

The stability of flow in a lid-driven cavity is investigated using an accurate numerical technique based on a hybrid scheme with spectral collocation and high-order finite differences. A global stability analysis is carried out and critical parameters are identified for various aspect ratios. It is found that while there is reasonable agreement with the literature for the critical parameters le...

This study is motivated by three-dimensional ows about protrusions and cavities with an arbitrary angle between the external ow and rigid elements. The novel type of a \building block" cavity ow is proposed where the cavity lid moves along its diagonal (Case A). The proposed case is taken as a typical representative of essentially three-dimensional highly separated vortical ows having simple si...