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Transient electroosmotic flow of general Jeffrey fluid between two micro-parallel plates

Liu Quan-Sheng Yang Lian-Gui Su Jie

Transient electroosmotic flow of general Jeffrey fluid between two micro-parallel plates

Liu Quan-Sheng, Yang Lian-Gui, Su Jie
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  • Abstract views:  984
  • PDF Downloads:  364
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Publishing process
  • Received Date:  15 March 2013
  • Accepted Date:  28 March 2013
  • Published Online:  05 July 2013

Transient electroosmotic flow of general Jeffrey fluid between two micro-parallel plates

  • 1. School of Mechanical Science, Inner Mongolia University, Hohhot 010021, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 11062005, 11202092), Opening Fund of State Key Laboratory of Nonlinear Mechanics, the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Auton Omous Region of China (Grant No. NJYT-13-A02), the Natural Science Foundation of Inner Mongolia, China (Grant Nos. 2010BS0107, 2012MS0107), the Research Start up Fund for Excellent Talents at Inner Mongolia University, China (Grant No. Z20080211), the Natural Science Key Fund of Inner Mongolia, China (Grant No 2009ZD01), the Innovative programs funded projects of Postgraduate Education in Inner Mongolia Autonomous Region of China, and the Inner Mongolia University of enhancing the comprehensive strength funding, China (Grant No. 1402020201).

Abstract: In this study, analytical solutions are presented for the unsteady electroosmotic flow of linear viscoelastic fluid between micro-parallel plates. The linear viscoelastic fluid used here is described by the general Jeffrey model. Using Laplace transform method, the solution involves analytically solving the linearized Poisson-Boltzmann equation, together with the Cauchy momentum equation and the general Jeffrey constitutive equation. By numerical computations, the influences of the dimensionless relaxation time λ1 and retardation time λ2 on velocity profile are presented. In addition, we find that when the retardation time is zero, the smaller the relaxation time, the more close to the Newtonian fluid velocity profile the velocity profile is. With the increases of the relaxation time and the retardation time, the velocity amplitude also becomes bigger and bigger. As time goes by, the velocity tends to be stable gradually.

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