期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 50, 期 -, 页码 77-87出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2017.02.019
关键词
Electroosmotic flow; Fractional calculus; Viscoelastic fluids; Integral transform; Finite difference method
类别
资金
- National Natural Science Foundation of China [11672163]
- Natural Science Foundation of Shandong Province, China [ZR2015AM011, ZR2014AQ015]
- China Postdoctoral Science Foundation [2016M602127]
- Independent Innovation Foundation of Shandong University, China [2013ZRYQ002]
This work investigates the unsteady electroosmotic slip flow of viscoelastic fluid through a parallel plate micro-channel under combined influence of electroosmotic and pressure gradient forcings with asymmetric zeta potentials at the walls. The generalized second grade fluid with fractional derivative was used for the constitutive equation. The Navier slip model with different slip coefficients at both walls was also considered. By employing the Debye-Huckel linearization and the Laplace and sin-cos-Fourier transforms, the analytical solutions for the velocity distribution are derived. And the finite difference method for this problem was also given. Finally, the influence of pertinent parameters on the generation of flow is presented graphically. (C) 2017 Elsevier B.V. All rights reserved,
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