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Analytical and numerical study of electroosmotic slip flows of fractional second grade fluids

机译:分数二等分流体电渗滑流的分析和数值研究

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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,
机译:这项工作研究了在壁上具有非对称zeta电位的电渗和压力梯度强迫的共同影响下,粘弹性流体通过平行板微通道的不稳定电渗滑流。本构方程使用具有分数导数的广义二阶流体。还考虑了两面滑移系数不同的Navier滑移模型。通过使用Debye-Huckel线性化以及Laplace和sin-cos-Fourier变换,得出了速度分布的解析解。并给出了该问题的有限差分方法。最后,以图形方式显示了相关参数对流量生成的影响。 (C)2017 Elsevier B.V.保留所有权利,

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