In this study, the hyperbolic method is adopted to explore flow field states of incompressible in a four-sided lid-driven square cavity. particular, we focus on bifurcation obtained at critical Reynolds number . method, diffusive term transformed into one by introducing diffusion flux term, which solution an additional equation. A classical Riemann-like solver with finite-volume discretization ...

Continuum modelling of granular flow has been plagued with the issue of ill-posed dynamic equations for a long time. Equations for incompressible, two-dimensional flow based on the Coulomb friction law are ill-posed regardless of the deformation, whereas the rate-dependent μ(I)-rheology is ill-posed when the non-dimensional inertial number I is too high or too low. Here, incorporating ideas fro...

Sintered metal porous media currently plays an important role in air bearing systems. When flowing through porous media, the flow properties are generally represented by incompressible Darcy-Forchheimer regime or Ergun regime. In this study, a modified Ergun equation, which includes air compressibility effects, is developed to describe friction characteristic. Experimental and theoretical inves...

In this study, inelastic constitutive modelling is considered for the simulation of shear-thinning fluids through a circular channel. Numerical solutions are presented for power-law inelastic model, considering axisymmetric Poiseuille flow through a channel. The numerical simulation of such fluid is performed by using the Galerkin finite element approach based on artificial compression method (...

We consider mixed finite element methods for linear elasticity which the symmetry of stress tensor is exactly satisfied. derive a new quasi-optimal priori error estimate uniformly valid with respect to compressibility. For posteriori analysis we Prager-Synge hypercircle principle and introduce in incompressible limit. All estimates are validated by numerical examples.

using of nanofluids and ducts with corrugated walls are both supposed to enhance heat transfer, by increasing the heat transfer fluid conductivity and the heat transfer area respectively. use of a diverging duct with a jet at inlet section may further increase heat transfer by creating recirculation zones inside the duct. in this work two-dimensional incompressible laminar flow of a nanofluid e...

The Lattice Boltzmann Method is applied to incompressible, steady, laminar flows at high Reynolds numbers varying in a range form 50 to 2000. The developing channel flow and the lid driven cavity flow are analyzed. The effect of the model Mach number on accuracy is investigated by performing computations at different Mach numbers in the range 0.1 0.4 and comparing the results with finite-volume...