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On the Numerical Study of Capillary-driven Flow in a 3-D Microchannel Model

C.T. Lee1, C.C. Lee2

Mathematical Institute, University of Oxford, Woodstock Road, Oxford, OX2 6GG.
Department of Chemistry, Simon Fraser University, British Columbia, BC, Canada.

Computer Modeling in Engineering & Sciences 2015, 104(5), 375-403.


In this article, we demonstrate a numerical 3-D chip, and studied the capillary dynamics inside the microchannel. We applied the level set method on the Navier-Stokes equation which incorporates the surface tension and two-phase flow characteristics. We analyzed the capillary dynamics near the junction of two microchannels. Such a highlighting point is important that it not only can provide the information of interface behavior when fluids are made into a head-on collision, but also emphasize the idea for the design of the chip. In addition, we study the pressure distribution of the fluids at the junction. It is shown that the model can produce nearly 2000 Pa pressure difference to help push the water through the microchannel against the air. The nonlinear interaction between capillary flows is recorded. Such a nonlinear phenomenon, to our knowledge, occurs due to the surface tension takes action with the wetted wall boundaries in the channel and the nonlinear governing equations for capillary flow.


Cite This Article

Lee, C., Lee, C. (2015). On the Numerical Study of Capillary-driven Flow in a 3-D Microchannel Model. CMES-Computer Modeling in Engineering & Sciences, 104(5), 375–403.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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