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Updated: May 10, 2026

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
Published on: August 27, 2013
Interfacial instability of compressible slip flows in a microchannel
1Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, Rhode Island 02912, USA.
Abstract:
In microfluidics the instability of an interface between two fluids may be favorable or unfavorable. Such an instability for incompressible flows has been extensively studied in the literature; in this paper we extend it to compressible flows which slip on the solid boundary. A generalized Darcy's law taking into consideration the compressibility and velocity slip is obtained. Using a conformal-mapping method we derive an interface equation on a fixed domain, the solutions of which determine the moving interface. We also examine the linear stability of the base-state flow by perturbing the corresponding conformal map and show that the velocity slip has a stabilizing effect.
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