Further contributions to the dynamics of a freely rotating elliptical particle in shear flow

Zhizhong Ding, Shashank S. Tiwari, Chenguang Zhang, Mayank Tyagi, Bo Kong, Krishnaswamy Nandakumar*, Jyeshtharaj B. Joshi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this study, the dynamic response of a neutrally buoyant elliptical cylinder is investigated for a two-dimensional shear flow over a wide range of aspect ratios ((Formula presented.) where, (Formula presented.) and (Formula presented.) are the major and minor axis radii, respectively). Parametric studies were carried out for confinement ratios ((Formula presented.)) that vary the distance between the particle and the domain walls (H) for shear-rate (G) based Reynolds number (Formula presented.) The simulations were performed using the signed distance field-immersed boundary method (SDFIBM) algorithm implemented in OpenFOAM. The motion of the particle is limited to free rotation about the (Formula presented.) axis through the centroid without any translational freedom. This work demonstrates and affirms two distinct responses of the elliptical particle in shear flow: (1) a periodical rotating stage that exhibits a relaxation type of response and (2) a spontaneously locked stationary stage, where the net torque becomes zero. A critical Reynolds number ((Formula presented.)) demarcates the transition between these two stages, and it depends on aspect ratio and confinement ratio. The prediction of (Formula presented.) was found to be in excellent agreement with the experimentally reported data in the literature, validating the SDFIBM for particles subjected to shear flows.

Original languageEnglish
JournalCanadian Journal of Chemical Engineering
DOIs
StateAccepted/In press - 2021

Keywords

  • drag
  • elliptical cylinder
  • immersed boundary method
  • shear flow
  • torque

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