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

TY - JOUR

T1 - Further contributions to the dynamics of a freely rotating elliptical particle in shear flow

AU - Ding, Zhizhong

AU - Tiwari, Shashank S.

AU - Zhang, Chenguang

AU - Tyagi, Mayank

AU - Kong, Bo

AU - Nandakumar, Krishnaswamy

AU - Joshi, Jyeshtharaj B.

N1 - Publisher Copyright: © 2021 Canadian Society for Chemical Engineering.

PY - 2022/6

Y1 - 2022/6

N2 - 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.

AB - 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.

KW - drag

KW - elliptical cylinder

KW - immersed boundary method

KW - shear flow

KW - torque

UR - http://www.scopus.com/inward/record.url?scp=85118868054&partnerID=8YFLogxK

U2 - 10.1002/cjce.24313

DO - 10.1002/cjce.24313

M3 - 文章

AN - SCOPUS:85118868054

SN - 0008-4034

VL - 100

SP - 1359

EP - 1373

JO - Canadian Journal of Chemical Engineering

JF - Canadian Journal of Chemical Engineering

IS - 6

ER -