Unsteady state fluid structure of two-sided nonfacing lid-driven cavity induced by a semicircle at different radii sizes and velocity ratios

Basma Souayeh, Fayçal Hammami (), Najib Hdhiri () and Huda Alfannakh ()
Additional contact information
Basma Souayeh: King Faisal University, College of Science, Physics Department, P. O. Box 380, Alahsa 31982, Saudi Arabia
Fayçal Hammami: #x2020;University of Tunis El Manar, Faculty of Sciences of Tunis, Laboratory of Fluid Mechanics, Physics Department, 2092 Tunis, Tunisia
Najib Hdhiri: #x2020;University of Tunis El Manar, Faculty of Sciences of Tunis, Laboratory of Fluid Mechanics, Physics Department, 2092 Tunis, Tunisia
Huda Alfannakh: King Faisal University, College of Science, Physics Department, P. O. Box 380, Alahsa 31982, Saudi Arabia

International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 08, 1-33

Abstract: This paper aims in analyzing the effect of velocity ratio α and Radius size of an inner semicircle inserted at the bottom wall of two-sided nonfacing lid-driven cavity on the bifurcation occurrence phenomena. The study has been performed by using finite volume method (FVM) and multigrid acceleration for certain pertinent parameters; Reynolds number, velocity ratios (0≤α≤1) by step of 0.25 and Radius size of the inner semicircle (0.1≤R≤0.25) by step of 0.05. An analysis of the flow evolution shows that, when increasing Re beyond a certain critical value, the flow becomes unstable then bifurcates for various velocity ratios and radius size of the semicircle. Therefore, critical Reynolds numbers are determined for each case. It is worth to mention that the transition to unsteadiness follows the classical scheme of a Hopf bifurcation. Results show also that in the standard case of a single lid-driven cavity (α=0), the highest critical Reynolds number corresponds to the lowest radius of the semicircle and the same for (α=0.25). Conversely, from (α=0.5) where the left moving lid take effect, the opposite phenomenon occurs. In harmony with this, it has been found that elongating the cylinder radius accelerates the appearance of the unsteady regime and delays it in the opposite case. Flow periodicity has been verified through time history plots for the velocity component and phase-space trajectories as a function of Reynolds number. The numerical results are correlated in a sophisticated correlation of the critical Reynolds number with other parameters.

Keywords: Two-sided lid-driven cavity; critical Reynolds number; semicircular shape; radius size; velocity ratio; finite volume method (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183119500608

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