- Access by Xinjiang University
Symmetry-based nonperturbative micromanipulation in a three-dimensional microfluidic device
Phys. Rev. Fluids 5, 044202 – Published 27 April, 2020
DOI: https://doi.org/10.1103/PhysRevFluids.5.044202
Abstract
We introduce a microfluidic design that is desirable for three-dimensional (3D) micromanipulation, achieved through a set of double-layer channels with embedded symmetries. For the six-channel configuration, we show that a zero strain rate at the center of the device is protected by these symmetries, leading to a nonperturbative manipulation flow along any direction in 3D. We visualize such a nonperturbative flow structure through a finite element simulation and confirm this symmetry-protected strain-free condition. In addition to such 3D nonperturbative manipulations, we reveal two distinct perturbative flow modes available in this six-channel device, corresponding to a total of five independent modes that agrees with the degree-of-freedom counting. This symmetry-based micromanipulation is fully compatible with conventional microscopes and can be easily extended to other channel geometries for rich biological and physical applications.
Physics Subject Headings (PhySH)
Article Text
References (28)
- G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 2000).
- E. M. Purcell, Life at low Reynolds number, Am. J. Phys. 45, 3 (1977).
- G. J. Elfring and E. Lauga, Hydrodynamic Phase Locking of Swimming Microorganisms, Phys. Rev. Lett. 103, 088101 (2009).
- E. Lauga, A. D. Stroock, and H. A. Stone, Three-dimensional flows in slowly varying planar geometries, Phys. Fluids 16, 3051 (2004).
- X. Xu, Z. Li, and A. Nehorai, Finite element simulations of hydrodynamic trapping in microfluidic particle-trap array systems, Biomicrofluidics 7, 054108 (2013).
- P. N. Nge, C. I. Rogers, and A. T. Woolley, Advances in microfluidic materials, functions, integration, and applications, Chem. Rev. 113, 2550 (2013).
- L. Capretto, W. Cheng, M. Hill, and X. Zhang, Micromixing within microfluidic devices, in Microfluidics: Technologies and Applications, edited by B. Lin, Topics in Current Chemistry (Springer, Berlin, Heidelberg, 2011), pp. 27–68.
- E. Lauga and T. R. Powers, The hydrodynamics of swimming microorganisms, Rep. Prog. Phys. 72, 096601 (2009).
- K. C. Neuman and S. M. Block, Optical trapping, Rev. Sci. Instrum. 75, 2787 (2004).
- T. T. Perkins, Single polymer dynamics in an elongational flow, Science 276, 2016 (1997).
- A. Shenoy, C. V. Rao, and C. M. Schroeder, Stokes trap for multiplexed particle manipulation and assembly using fluidics, Proc. Natl. Acad. Sci. USA 113, 3976 (2016).
- U. G. Būtaitė, G. M. Gibson, Y.-L. D. Ho, M. Taverne, J. M. Taylor, and D. B. Phillips, Indirect optical trapping using light driven micro-rotors for reconfigurable hydrodynamic manipulation, Nat. Commun. 10, 1215 (2019).
- K. C. Bhargava, B. Thompson, and N. Malmstadt, Discrete elements for 3D microfluidics, Proc. Natl. Acad. Sci. USA 111, 15013 (2014).
- K. Vittayarukskul and A. P. Lee, A truly Lego® -like modular microfluidics platform, J. Micromech. Microeng. 27, 035004 (2017).
- S. J. Haward, C. C. Hopkins, K. Toda-Peters, and A. Q. Shen, Microfluidic analog of an opposed-jets device, Appl. Phys. Lett. 114, 223701 (2019).
- C. Geuzaine and J.-F. Remacle, Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities, Int. J. Numer. Methods Eng. 79, 1309 (2009).
- F. Hecht, New development in freefem++, J. Numer. Math. 20, 251 (2012).
- The Visualization Handbook, edited by C. D. Hansen and C. R. Johnson (Elsevier-Butterworth-Heinemann, Amsterdam, 2005).
- O. C. Zienkiewicz, R. L. Taylor, and D. Fox, The Finite Element Method for Solid and Structural Mechanics, 7th ed. (Elsevier-Butterworth-Heinemann, Amsterdam, 2014).
- A. Groisman and V. Steinberg, Elastic turbulence in a polymer solution flow, Nature (London) 405, 53 (2000).
- P. E. Arratia, C. C. Thomas, J. Diorio, and J. P. Gollub, Elastic Instabilities of Polymer Solutions in Cross-Channel Flow, Phys. Rev. Lett. 96, 144502 (2006).
- J. M. K. Ng, I. Gitlin, A. D. Stroock, and G. M. Whitesides, Components for integrated poly(dimethylsiloxane) microfluidic systems, Electrophoresis 23, 3461 (2002).
- C.-W. Chang, Y.-J. Cheng, M. Tu, Y.-H. Chen, C.-C. Peng, W.-H. Liao, and Y.-C. Tung, A polydimethylsiloxane–polycarbonate hybrid microfluidic device capable of generating perpendicular chemical and oxygen gradients for cell culture studies, Lab Chip 14, 3762 (2014).
- K. Sugioka and Y. Cheng, Femtosecond laser three-dimensional micro- and nanofabrication, Appl. Phys. Rev. 1, 041303 (2014).
- H. N. Chan, Y. Chen, Y. Shu, Y. Chen, Q. Tian, and H. Wu, Direct, one-step molding of 3D-printed structures for convenient fabrication of truly 3D PDMS microfluidic chips, Microfluidics and Nanofluidics 19, 9 (2015).
- G. B. Jeffery and L. N. G. Filon, The motion of ellipsoidal particles immersed in a viscous fluid, Proc. R. Soc. London, Ser. A 102, 161 (1922).
- W. M. Durham, J. O. Kessler, and R. Stocker, Disruption of vertical motility by shear triggers formation of thin phytoplankton layers, Science 323, 1067 (2009).
- Marcos, H. C. Fu, T. R. Powers, and R. Stocker, Bacterial rheotaxis, Proc. Natl. Acad. Sci. USA 109, 4780 (2012).
