title: Interfacial instability of compressible slip flows in a microchannel.
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.
authors.affiliation: Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, Rhode Island 02912, USA.
authors.forename: Andong
authors.initials: A
authors.lastname: He
mesh_terms: D003198:Computer Simulation; D017276:Friction; D044085:Microfluidics / Q000295:instrumentation* / Q000379:methods*; D008956:Models, Chemical; D033081:Shear Strength; D012996:Solutions / Q000737:chemistry*; D013499:Surface Properties; D014783:Viscosity
chemical_list: D012996:Solutions