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

Abstract

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.

Parametric studies of mixed convective fluid flow around cylinders of different cross‐sections

“…• For all the cylinder orientations considered, the average heat transfer from the cylinder is independent of the cylinder orientation when the aspect ratio is 1.0. • For ≤ ≤ Gr 10 1 0 3 5 , the aspect ratio increment enhanced the heat transfer rate of the right wall; for Gr > 10 5 , the aspect ratio impact on the right wall is a function of the Grashof number and cylinder orientation. • The impact of the inclination angle increment on the right wall diminishes as the inclination angle increases except for Gr > 10 5 where the rate of heat transfer is enhanced beyond…”

“…Moreover, the contours surrounding the bottom wall of the cylinder and along the enclosure's right and left side walls became more densely packed; this shows that the intensity of convection rises with the increase of the Grashof number (Gr). The isothermal contour line distribution when Re was increased from 1.0 to 10 is comparable; however, at Re = 100, and specifically for Grashof numbers of ≤ ≤ Gr 10 1 0 3 5 , the isothermal lines above the elliptical cylinder became biased toward the left wall of the enclosure, which could have been due to weakness in convection strength of the fluid, but at Gr = 10 6 , the isothermal lines above the cylinder re-stabilized, possibly due to much more improvement in the buoyancy force compared with the shear force. Figure 3 displays the stream function plots.…”

“…Over the years, understanding the dynamics of flows in a lid‐driven enclosure for different scenarios of flow regimes has been extensively discussed by researchers. This is because of the ability of flows in enclosures to effectively provide cooling solutions to systems 1–6 . The popularity enjoyed by the bounded cavity problem among researchers is not only due to the simplicity of the geometry but also due to the practical significance of the subject.…”

“…This is because of the ability of flows in enclosures to effectively provide cooling solutions to systems. [1][2][3][4][5][6] The popularity enjoyed by the bounded cavity problem among researchers is not only due to the simplicity of the geometry but also due to the practical significance of the subject. Furthermore, the associated flow field in this problem is used as a tool for checking the accuracy of new numerical codes being advanced, due to the ability to enact basic behavioral tendencies in incompressible flows, such as chaotic particle motion, transition, turbulence, threedimensional patterns, eddies, and so forth.…”