Previous experimental and computational studies have indicated that interfaces formed in steady, converging microchannel flows with similar liquids tend to be planar in nature under a variety of conditions relevant to micro-scale flows, including MEMS/microfluidic devices and even microcirculatory blood flows. Assuming a planar interface, we have developed an analytical framework to predict the fully developed interfacial location downstream of a convergence of identical microchannels. Results have been obtained for microchannels having rectangular, elliptical/circular and triangular cross-sections as a function of the inlet flow ratio. Two-dimensional results have also been obtained for fluids having unequal viscosities. Good agreement is found between this model and 3-D numerical simulations and experimental measurements provided that the flow inertia remains sufficiently small (Re≲10, typically). Where valid, application of this analytical, planar interface method represents a significant decrease in computational effort when compared to using CFD to determine interfacial positions.
A Simplified Model for Determining Interfacial Position in Convergent Microchannel Flows
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division February 10, 2003, revised manuscript received June 4, 2004. Associate Editor: J. S. Marshall.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Hitt, D. L., and Macken, N. (December 7, 2004). "A Simplified Model for Determining Interfacial Position in Convergent Microchannel Flows ." ASME. J. Fluids Eng. September 2004; 126(5): 758–767. https://doi.org/10.1115/1.1792272
Download citation file:
- Ris (Zotero)
- Reference Manager