Numerical simulation of square shaped particle sedimentation--颗粒学报PARTICUOLOGY

Sharma, G., & Ray, B. (2024). Numerical simulation of square shaped particle sedimentation. Particuology, 84, 107-116. https://doi.org/10.1016/j.partic.2023.02.016

Numerical simulation of square shaped particle sedimentation

Govind Sharma, Bahni Ray ^*

Department of Mechanical Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India

10.1016/j.partic.2023.02.016

Volume 84, January 2024, Pages 107-116

Received 3 October 2022, Revised 12 February 2023, Accepted 24 February 2023, Available online 21 March 2023, Version of Record 4 April 2023.

E-mail: bray@mech.iitd.ac.in

Highlights

• Sedimentation of the square-shaped particle using Immersed Boundary Method.

• Settling characteristics are drawn at various particle-to-fluid density ratios.

• Kinematics of the settling motion is discussed in terms of the Dynamic Time Warping and Fast Fourier Transform.

Abstract

Direct numerical simulations of square particle sedimentation in a viscous incompressible fluid are presented to examine the effects of sharp edges for various particle-to-fluid density ratios and different initial inclination angles. The settling process exhibits four different motion regimes; non-oscillatory, non-uniform centered oscillatory, uniform off-centered oscillatory, and non-uniform off-centered (irregular) oscillatory. At moderate density ratios, we observe that the rotational motion of settling square particle varies with the initial inclination angle. We employ Dynamic Time Warping and Fast Fourier Transform to analyze translational and angular velocities. Oscillating systems are described using phase-space plots, and a chaotic phenomenon is observed at a higher density ratio.

Graphical abstract

Keywords

Sedimentation; Distributed Lagrangian multiplier; Phase synchronization; Oscillations

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