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Acta Mechanica Sinica

, Volume 29, Issue 4, pp 534–542 | Cite as

Transient electro-osmotic and pressure driven flows of two-layer fluids through a slit microchannel

  • Jie Su
  • Yong-Jun JianEmail author
  • Long Chang
  • Quan-Sheng Li
Research Paper

Abstract

By method of the Laplace transform, this article presents semi-analytical solutions for transient electroosmotic and pressure-driven flows (EOF/PDF) of two-layer fluids between microparallel plates. The linearized Poisson-Boltzmann equation and the Cauchy momentum equation have been solved in this article. At the interface, the Maxwell stress is included as the boundary condition. By numerical computations of the inverse Laplace transform, the effects of dielectric constant ratio ɛ, density ratio ρ, pressure ratio p, viscosity ratio µ of layer II to layer I, interface zeta potential difference \(\Delta \bar \psi\), interface charge density jump Q, the ratios of maximum electro-osmotic velocity to pressure velocity α, and the normalized pressure gradient B on transient velocity amplitude are presented. We find the velocity amplitude becomes large with the interface zeta potential difference and becomes small with the increase of the viscosity. The velocity will be large with the increases of dielectric constant ratio; the density ratio almost does not influence the EOF velocity. Larger interface charge density jump leads to a strong jump of velocity at the interface. Additionally, the effects of the thickness of fluid layers (h 1 and h 2) and pressure gradient on the velocity are also investigated.

Keywords

Hydromechanics Micro-parallel plates Electri double layer (EDL) Unsteady EOF/PDF Two-laye Newtonian fluids 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Jie Su
    • 1
  • Yong-Jun Jian
    • 1
    Email author
  • Long Chang
    • 1
    • 2
  • Quan-Sheng Li
    • 1
  1. 1.School of Mathematical ScienceInner Mongolia UniversityHohhotChina
  2. 2.School of Mathematics and StatisticsInner Mongolia University of Finance and EconomicsHohhotChina

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