Numerical Simulation of Flow Past a Square Object Detached with Controlling Object at Various Reynolds Number

Raheela Manzoor; Bushra Habib; Shazia kalsoom; Neelofer Jamil; Misbah Haque

Authors

Raheela Manzoor Department of Mathematics, Sardar Bahadur Khan Women's University, Quetta, Baluchistan, Pakistan
Bushra Habib Department of Mathematics, Sardar Bahadur Khan Women's University, Quetta, Baluchistan, Pakistan
Shazia kalsoom Department of Mathematics, Sardar Bahadur Khan Women's University, Quetta, Baluchistan, Pakistan
Neelofer Jamil Department of Mathematics, Sardar Bahadur Khan Women's University, Quetta, Baluchistan, Pakistan
Misbah Haque Department of Management Science, Mir Chakkar Khan University, Sibi, Pakistan

Keywords:

Vortex Shedding, Reynolds numbers, Flow control, Force Statistics, Drag and lift Coefficients.

Abstract

A two-dimensional (2-D) numerical study has been conducted for flow past of two different configurations of square objects by using the numerical technique Lattice Boltzmann Method (LBM). In these configurations, one object plays the role of the main object, while the second object acts as a controlling object positioned in two different ways, such as firstly placed at the top right corner of the main object (first configuration) and in the second configuration the control object is put at the bottom right corner of the main object at L = 20d (where d is the size of the object). The primary goal of this study was to investigate the impact of the control object on the main object to reduce fluid force and suppress the vortex shedding. Initially, the code's validity was checked, and the effect of the computational domain was studied to determine accurate upstream (L_up), and downstream (L_down) distances and height of channel (H). Subsequently, all the numerical computations were performed by considering the range of Reynolds numbers (Re = U_∞d/ʮ) Re = 80 to 200. The results are presented in terms of vorticity contour, drag (Cd) and lift coefficients (Cl), and physical parameters, including Cd_mean, Cd_rms, Cl_rms, and St. In the vorticity contour, three distinct modes of flow structures were observed for the first configuration (where the control object is placed at the bottom corner of the main object), such as i) Von Karman vortex street (VKVS) flow mode, ii) Two rows vortex street (TRVS) flow mode and iii) Critical flow mode (CF). For the second configuration, two different types of flow modes are identified, dominating the critical flow behavior, those are i) Irregular vortex shedding (IVS) flow mode and ii) Critical flow (CF) mode. The values of Cd_mean, Cd_rms, Cl_rms, and St are calculated against the Reynolds number. For the main object in both configurations, the value of Cd_mean decreases at the lower range of Reynolds numbers and then continuously increases at larger values of Reynolds numbers. However, for the control object, the mean drag coefficient consistently increased with an increment in the range of Reynolds numbers. The maximum value of Cd_mean is attained at Re = 200, reaching the value of 2.0708 for the configuration where the control object is placed at the top right corner. Similarly, the highest value of the Strouhal number is obtained for the control object; placed at the bottom right corner for C2, with a value of 0.1321 occurring at either Re = 100 or Re = 120.

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