The mixed convection heat transfer and fluid flow behaviors in a lid– driven square cavity filled with high Prandtl number fluids at low Reynolds number have been studied using Thermal Lattice Boltzmann Method (TLBM). The LBM has built up on the D2Q9 model called the Lattice-BGK (Bhatnagar–Gross–Krook) model. The Lattice Boltzmann momentum and energy equations are considered simultaneously to s...

Stokes flow in a rectangular cavity with two moving lids (with equal speed but in opposite directions) and aspect ratio A (height to width) is considered. An analytic solution for the streamfunction, ψ, expressed as an infinite series of Papkovich–Fadle eigenfunctions is used to reveal changes in flow structures as A is varied. Reducing A from A = 0.9 produces a sequence of flow transformations...

The present paper focuses on problem of mixed convection fluid flow and heat transfer of Al2O3-water nanofluid with temperature and nanoparticles concentration dependent thermal conductivity and effective viscosity inside Lid-driven cavity having a hot rectangular obstacle. The governing equations are discretized using the finite volume method while the SIMPLER algorithm is employed to couple v...

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...

ÐHighly-accurate solutions for the lid-driven cavity ̄ow are computed by a Chebyshev collocation method. Accuracy of the solution is achieved by using a substraction method of the leading terms of the asymptotic expansion of the solution of the Navier±Stokes equations in the vicinity of the corners, where the velocity is discontinuous. Critical comparison with former numerical experiments con®r...

The Lagrangian transport in the laminar incompressible flow a two-dimensional square cavity driven by harmonic tangential oscillation of lid is investigated numerically for wide range Reynolds and Strouhal numbers. topology fluid trajectories analyzed stroboscopic projections revealing co-existence chaotic regular Kolmogorov–Arnold–Moser (KAM) tori. pathline structure strongly depends on number...