A framework for topology optimization of inertial microfluidic particle manipulators

Abstract

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Development of topological optimization schemes controlling the trajectories of multiple particles in fluid

“…This type of technique has become a major standard to manipulate the motion of particles with additional forces (Yoon 2020 ). To the best of our knowledge, there have been few studies on the topology optimization of structures or channels to manipulate the motion of particles (Yoon 2020 ; Andreasen 2020 ). Therefore, the aim of this study is to conduct transient sensitivity analysis for the location of particles and develop new topology optimization formulations to analyze the motions of particles in steady-state laminar flow (Fig.…”

“…1 ). There have been a few studies regarding the topology optimization of the trajectories of particles in fluids (Yoon 2020 ; Andreasen 2020 ; Damiri and Bardaweel 2015 ; Prohm et al 2013 ; Pagano et al 2014 ). After the introduction of structural topology, the aforementioned optimization scheme has been applied to several engineering applications (Bendsøe and Kikuchi 1988 ; Wang et al 2003 ; Zhang et al 2018 ; Maute and Reich 2006 ).…”

“…Not fully accounting for the influence of particles on the surrounding fluid, Eulerian–Lagrangian approaches for fluid and particle, respectively, have been employed for the simulation purposes. This one-way coupling approach is beneficial for the topology optimization for forward and sensitivity analyses (see Andreasen 2020 for the rigorous sensitivity derivation). This one-way coupled multiphysics equation (Eulerian–Lagrangian approach) can provide details of the flow and enable interactions with small particles.…”

“…The topology optimization of particles considering the fluid velocity as the objective function is reported (Yoon 2020 ). A similar topology optimization method for the design synthesis of microfluidic particle manipulators was independently presented with rigorous sensitivity derivation (Andreasen 2020 ). The controlling, separating, and gathering of multiple particles via the design of topologically optimized pseudo rigid bodies are considered in the current study.…”

Topology optimization on two-dimensional manifolds

“…Implementing topology optimization on 2-manifolds can be helpful to enhance the freedom of structural design, where a 2-manifold is a topological space with its arbitrary interior point having a neighborhood homeomorphic to a sub-region of R 2 and it can be used to describe a structural surface or a material interface. Related researches have been implemented for the structural design on 2-manifolds based on the conformal geometry theory [40,41], layouts on surfaces for shell structures [51][52][53][54][55], and material interfaces for stiffness and multi-material structures [42][43][44][45][46][47][48][49][50], fluid-structure interaction [56][57][58], energy absorption [59], cohesion [60] and actuation [61].…”