Abstract
The two-dimensional flow in a two-sided lid-driven cavity is often handled numerically for the same imposed wall velocities (symmetrical driving) either for parallel or antiparallel wall motion. However, in this study, we present a finite volume method (FVM) based on the second scheme of accuracy to numerically explore the steady two-dimensional flow in a two-sided lid-driven square cavity for antiparallel wall motion with different imposed wall velocities (asymmetrical driving). The top and the bottom walls of the cavity slide in opposite directions simultaneously at different velocities related to various imposed velocity ratios, λ = -2, -6, and -10, while the two remaining vertical walls are stationary. The results show that varying the velocity ratio and consequently the Reynolds ratios have a significant effect on the flow structures and fluid properties inside the cavity.
Highlights
The two-sided lid-driven cavity problem has been well suited for benchmarking following the conventional onesided lid-driven cavity
Fruitful numerical results have been presented by Albensoeder et al [3] to investigate multiple twodimensional steady flows in a two-sided lid-driven cavity with various aspect ratios and Reynolds numbers
Steady two-dimensional asymmetrical flow driving in a two-sided lid-driven square cavity with antiparallel wall motion (Re1≠-Re2; UT≠-UB) has been examined for various velocity ratios (λ=-2, -6, -10)
Summary
The two-sided lid-driven cavity problem has been well suited for benchmarking following the conventional onesided lid-driven cavity Their type of flow bear similarities to a lot of engineering applications including coating and drying technologies, polymers melts, and chemical etching of film cooling. It has been initiated both experimentally and numerically by Kuhlmann et al [1, 2] in order to investigate two- and three-dimensional flow and elucidate the instability process in a two-sided lid-driven rectangular cavity. Fruitful numerical results have been presented by Albensoeder et al [3] to investigate multiple twodimensional steady flows in a two-sided lid-driven cavity with various aspect ratios and Reynolds numbers. The impact of velocity ratios on the arising flow patterns will be presented with the finite volume method (FVM)
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