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Effect of a soluble surfactant on the linear stability of two-phase flows in a finite-length channel

M. A. Herrada1, A. Ponce-Torres2, P. R. Kaneelil3, A. A. Pahlavan4, H. A. Stone3, and J. M. Montanero2

  • 1Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos, Universidad de Sevilla, E-41092 Sevilla, Spain
  • 2Departamento de Ingeniería Mecánica, Energética y de los Materiales and Instituto de Computación Científica Avanzada (ICCAEx), Universidad de Extremadura, E-06006 Badajoz, Spain
  • 3Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA
  • 4Department of Mechanical Engineering and Material Science, Yale University, New Haven, Connecticut 06511-8286, USA

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Phys. Rev. Fluids 7, 114003 – Published 28 November, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.114003

Abstract

We study numerically the effect of a soluble surfactant on the stability of two-phase flow in a finite-length microchannel. We calculate the steady base flow and its global eigenmodes for experimentally relevant choices of material, kinetic, and flow parameters. The results show that the system is unstable for capillary numbers above a critical value. The surfactant surface concentration takes values of the order of the maximum packing density over the whole interface, even for very small volume concentrations. The two streams drag the surfactant molecules toward the downstream end of the interface against the action of the Marangoni stress. The sharp reduction of the interfacial tension at that end enhances the interface deformation and considerably destabilizes the system, translating into a sharp reduction of the critical capillary number.

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Information

Phys. Rev. Fluids 7, 114003– Published 28 November, 2022
  • Received 11 July 2022
  • Accepted 8 November 2022
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