Simulation of fluid-structure interaction during the phaco-emulsification stage of cataract surgery

Wang, Zhaokun; Wang, Chenglei; Zhao, Fuwang; Qi, Nan; Lockington, David; Ramaesh, Kanna; Stewart, Philip; Luo, Xiaoyu; Tang, Hui

doi:10.1016/j.ijmecsci.2021.106931

Cited by 9 publications

(2 citation statements)

References 58 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hence, the filament can be simplified as a slender body, whose dynamics is typically governed by (Favier, Revell & Pinelli 2014; Wang et al. 2022) where is the filament density, is the Young's modulus, is the cross-section area of the filament (), is the moment of inertia (), and can be considered as the stretching and bending stiffnesses, respectively, is the filament's position, denotes the zero-stress shape of the filament and is the external loading acting on the filament.…”

Section: Problem Description and Methodologymentioning

confidence: 99%

Generalized-Newtonian fluid transport by an instability-driven filament

et al. 2023

Self Cite

View full text Add to dashboard Cite

Cilia are micro-scale hair-like organelles. They can exhibit self-sustained oscillations which play crucial roles in flow transport or locomotion. Recent studies have shown that these oscillations can spontaneously emerge from dynamic instability triggered by internal stresses via a Hopf bifurcation. However, the flow transport induced by an instability-driven cilium still remains unclear, especially when the fluid is non-Newtonian. This study aims at bridging these gaps. Specifically, the cilium is modelled as an elastic filament, and its internal actuation is represented by a constant follower force imposed at its tip. Three generalized Newtonian behaviours are considered, i.e. the shear-thinning, Newtonian and shear-thickening behaviours. Effects of four key factors, including the filament zero-stress shape, Reynolds number ( $Re$ ), follower-force magnitude and fluid rheology, on the filament dynamics, fluid dynamics and flow transport are explored through direct numerical simulation at $Re$ of 0.04 to 5 and through a scaling analysis at $Re \approx 0$ . The results reveal that even though it is expected that inertia vanishes at $Re \ll 1$ , inertial forces do alter the filament dynamics and deteriorate the flow transport at $Re\ge 0.04$ . Regardless of $Re$ , the flow transport can be improved when the flow is shear thinning or when the follower force increases. Furthermore, a linear stability analysis is performed, and the variation of the filament beating frequency, which is closely correlated with the filament dynamics and flow transport, can be predicted.

show abstract

Section: Problem Description and Methodologymentioning

confidence: 99%

Generalized-Newtonian fluid transport by an instability-driven filament

et al. 2023

Self Cite

View full text Add to dashboard Cite

show abstract

“…The LBM is a relatively new CFD method for fluid flow and heat/mass transfer simulations. Unlike traditional CFD methods, which solve the conservation equations of macroscopic properties numerically, LBM models the fluid particles by distribution functions through consecutive streaming and collision processes over a number of square lattices [52][53][54]. Zhang [34] was probably the first to apply the LBM to solving PBHTE, successfully demonstrating the capability of LBM in simulating bioheat problems.…”

Section: Appendix B Solving Pbhte Using Lbmmentioning

confidence: 99%