Analysis of flow behaviour in a two sided lid driven cavity using lattice boltzmann technique

Arun, S.; Satheesh, A.

doi:10.1016/j.aej.2015.06.005

Cited by 40 publications

(20 citation statements)

References 26 publications

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“…A marginally related publication was done by Arun and Satheesh (2015), who reported the numerical results of lid-driven cavity by using the lattice Boltzmann method. Effects of various Reynolds numbers (100, 1,000, 2,000 and 5,000) and aspect ratios (1, 2 and 4) in the flow characteristics are studied.…”

Section: Hff 284mentioning

confidence: 99%

Combined effects of the velocity and the aspect ratios on the bifurcation phenomena in a two-sided lid-driven cavity flow

Hammami

Ben–Cheikh

Ben-Beya

et al. 2018

HFF

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Purpose This paper aims to analyze the effect of aspect ratio A and aspect velocity ratio a on the bifurcation occurrence phenomena in lid-driven cavity by using finite volume method (FVM) and multigrid acceleration. This study has been performed for certain pertinent parameters; a wide range of the Reynolds number values has been adopted, and aspect ratios ranging from 0.25 to 1 and various velocity ratios from 0.25 to 0.825 have been considered in this investigation. Results show that the transition to the unsteady regime follows the classical scheme of Hopf bifurcation, giving rise to a perfectly periodic state. Flow periodicity has been verified through time history plots for the velocity component and phase-space trajectories as a function of Reynolds number. Velocity profile for special case of a square cavity (A = 1) was found to be in good agreement between current numerical results and published ones. Flow characteristics inside the cavity have been presented and discussed in terms of streamlines and vorticity contours at a fixed Reynolds number (Re = 5,000) for various aspect ratios (a = 0). Design/methodology/approach The numerical method is based on the FVM and multigrid acceleration. Findings Computations have been investigated for several Reynolds numbers and aspect ratios A (0.25, 0.5, 0.75, 0.825 and 1). Besides, various velocity ratios (a = 0.25, 0.5, 0.75 and 0.825) at fixed aspect ratios (A = 0.25, 0.5 and 0.75) were considered. It is observed that the transition to the unsteady regime follows the classical scheme of Hopf bifurcation, giving rise to a perfectly periodic state. Flow periodicity is verified through time history plots for velocity components and phase-space trajectories. Originality/value The bifurcations between steady and unsteady states are investigated.

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Section: Hff 284mentioning

confidence: 99%

Combined effects of the velocity and the aspect ratios on the bifurcation phenomena in a two-sided lid-driven cavity flow

Hammami

Ben–Cheikh

Ben-Beya

et al. 2018

HFF

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“…geometry of the problem is again a unit square but now the upper and lower walls of the cavity are moving with the constant speed = = 1, V = 0 from left to right. Further studies on this problem can be found in [20][21][22]. In case of double lid driven cavity the two primary vertices are generated as shown in the stream function plots in Figure 6.…”

Section: Resultsmentioning

confidence: 99%

Numerical Simulations of the Square Lid Driven Cavity Flow of Bingham Fluids Using Nonconforming Finite Elements Coupled with a Direct Solver

Mahmood

Kousar

Yaqub

et al. 2017

Advances in Mathematical Physics

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In this paper, numerical simulations are performed in a single and double lid driven square cavity to study the flow of a Bingham viscoplastic fluid. The governing equations are discretized with the help of finite element method in space and the nonconforming Stokes elementQ~1/Q0is utilized which gives 2nd-order accuracy for velocity and 1st-order accuracy for pressure. The discretized systems of nonlinear equations are treated by using the Newton method and the inner linear subproablems are solved by the direct solver UMFPACK. A qualitative comparison is done with the results reported in the literature. In addition to these comparisons, some new reference data for the kinetic energy is generated. All these implementations are done in the open source software package FEATFLOW which is a general purpose finite element based solver package for solving partial differential equations.

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“…They showed that both the direction of the moving walls and their inclination angle play a key role on the flow comportment and heat transfer inside the cavity. Lately, Arun and Satheesh [36] explored the two-dimensional steady flow in a cavity with two-moving walls in the same and opposite directions. The numerical results have been presented for Reynolds number 100≤Re≤5000, and aspect ratio AR=1, 2 and 5.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis and explore of asymmetrical fluid flow in a two-sided lid-driven cavity

Azzouz¹,

Houat²

2020

JMES

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The two-dimensional asymmetrical flow in a two-sided lid-driven square cavity is numerically analyzed by the finite volume method (FVM). The top and bottom walls slide in parallel and antiparallel motions with various velocity ratio (UT/Ub=λ) where |λ|=2, 4, 8, and 10. In this study, the Reynolds number Re1 = 200, 400, 800 and 1000 is applied for the upper side and Re2 = 100 constant on the lower side. The numerical results are presented in terms of streamlines, vorticity contours and velocity profiles. These results reveal the effect of varying the velocity ratio and consequently the Reynolds ratio on the flow behaviour and fluid characteristics inside the cavity. Unlike conventional symmetrical driven flows, asymmetrical flow patterns and velocity distributions distinct the bulk of the cavity with the rising Reynolds ratio. For λ>2, in addition to the main vortex, the parallel motion of the walls induces two secondary vortices near the bottom cavity corners. however, the antiparallel motion generates two secondary vortices on the bottom right corner. The parallel flow proves affected considerably compared to the antiparallel flow.

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Analysis of flow behaviour in a two sided lid driven cavity using lattice boltzmann technique

Cited by 40 publications

References 26 publications

Combined effects of the velocity and the aspect ratios on the bifurcation phenomena in a two-sided lid-driven cavity flow

Combined effects of the velocity and the aspect ratios on the bifurcation phenomena in a two-sided lid-driven cavity flow

Numerical Simulations of the Square Lid Driven Cavity Flow of Bingham Fluids Using Nonconforming Finite Elements Coupled with a Direct Solver

Numerical analysis and explore of asymmetrical fluid flow in a two-sided lid-driven cavity

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