Yin, Tianya. Mathematical model and simulation study on the motion of suspended particles in 3D deterministic lateral displacement. Retrieved from https://doi.org/doi:10.7282/T3V126XJ
DescriptionDeterministic lateral displacement (DLD) is a size-based separation technique in microfluidic devices: as a suspension flows through a periodic array of posts, particles of different size migrate in different directions. In previous DLD systems, particles were confined to move in a plane perpendicular to the array of posts. Here, we present a 3D separation model in which the particles are driven by a constant force that not only has components in the plane perpendicular to the posts but also along them and, as a result, can generate both lateral (in-plane) and longitudinal (out-off-plane) displacements. Different models are studied to better understand the potential separation ability of this 3D system. We also present three dimensional simulations of a suspended particle driven by a constant force moving past a 3D array of posts. We find that the projection of particle trajectory on the perpendicular plane of posts shows directional locking analogous to the 2D case and the maximum value of longitudinal displacements per post are found near the transition angles at which the locking direction changes. We also identify driving angles that can separate particles taking advantage of both lateral and longitudinal displacements simultaneously.
NoteM.S.
NoteIncludes bibliographical references
Noteby Tianya Yin
NoteThis work was partially supported by the National Science Foundation Grant no. CBET-1339087.