Electroosmotic flow of Eyring fluid in slit microchannel with slip boundary condition

doi:10.1007/s10483-014-1822-6

Abstract

Abstract:

In consideration of the electroosmotic flow in a slit microchannel, the con-stitutive relationship of the Eyring fluid model is utilized. Navier's slip condition is used as the boundary condition. The governing equations are solved analytically, yielding the velocity distribution. The approximate expressions of the velocity distribution are also given and discussed. Furthermore, the effects of the dimensionless parameters, the electrokinetic parameter, and the slip length on the flow are studied numerically, and appropriate conclusions are drawn.

Key words: slip boundary, stability, multi-scale perturbation method, bifurcation frominfinity, microfluidics, electric double layer, electroosmotic flow, Eyring fluid model

2010 MSC Number:

O373

Zhen TAN;Hai-tao QI;Xiao-yun JIANG. Electroosmotic flow of Eyring fluid in slit microchannel with slip boundary condition. Applied Mathematics and Mechanics (English Edition), 2014, 35(6): 689-696.

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