Stokes flow in a two-dimensional micro-device combined by a cross-slot and a microfluidic four-roll mill
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The flow structures in a novel microfluidics device (CS-MFRM) combining a cross-slot (CS) and a microfluidics four-roll mill (MFRM) have been investigated through a two-dimensional boundary element method. By changing the volume flow rates at various inlets of a CS-MFRM, diverse flow structures can be generated. Some of them are proposed to be employed to achieve some functions in the fabrication process of anisotropic particles. The stagnant points and eddies in those flows are particularly discussed since they are critical to trap and/or rotate droplets. Energy consumption of eddies generated in branches in some flow structures is also investigated in this paper.
Mathematics Subject Classification (2000)76D07 76T25
List of symbols
The viscosity of continuous phase
The viscosity ratio of the droplet to the continuous phase
Fundamental solution of the two-dimensional Stokes equations
Associated stress kernel of the fundamental solution
Volume flow rate in a channel
Half width of a channel
Radius of central circular cavity
KeywordsBoundary element method Microchannels Stagnation points Flow branches Stokes eddies
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- 21.Wang, J.T., Tao, J., Han, J.J.: Hydrodynamic Control of Droplets Coalescence in Microfluidic Devices to Fabricate Anisotropic Particles Through Boundary Element Method (unpublished)Google Scholar