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首页> 外文期刊>Heat transfer >Electroosmotic flow of a fractional second-grade fluid with interfacial slip and heat transfer in the microchannel when exposed to a magnetic field
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Electroosmotic flow of a fractional second-grade fluid with interfacial slip and heat transfer in the microchannel when exposed to a magnetic field

机译：在暴露于磁场时，分数二级液体的电渗流量具有界面滑动和微通道的热传递

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摘要

We investigated the time-dependent viscoelastic fluid flow through a parallel-plate microchannel under the influence of a transversely applied magnetic field and an axially imposed electric field. We performed the analysis by employing the Poisson-Boltzmann equation under the Debye-Huckel approximation. The generalized second-grade fluid model with a fractional-order time derivative is used to observe the non-Newtonian and fractional behavior rates of deformation employing the Riemann-Liouville fractional operator. We considered the asymmetric zeta potentials and different slip effects at the walls to study the flow behavior near the vicinity of the channel. We obtained an analytical solution in terms of Mittag-Leffler function, applying Fourier and Laplace transformations. We imposed the heat transfer phenomena with the dissipation of energy and Joule heating effects on the model. The governing equations were also solved numerically by employing an implicit finite difference scheme. The numerical solution was compared with the analytical results, considering the influence of the pertinent parameters involved in the problem. The study delineates that the flow rate decreases with a rise in the fractional-order parameter, while the opposite trend is observed with the electroosmotic parameter. Due to the application of sufficient strength of the magnetic field and the Joule heating effects, the temperature increases within the channel.
机译：我们研究了在横向施加的磁场和轴向施加的电场的影响下通过平行板微通道的时间依赖的粘弹性流体流动。我们通过在Debye-Huckel近似下采用Poisson-Boltzmann方程来进行分析。具有分数阶时间衍生物的广义二级流体模型用于观察采用Riemann-Liouville分数算子的非牛顿和分数行为率。我们考虑了墙壁上的不对称Zeta电位和不同的滑动效果，以研究通道附近的流动行为。我们在Mittag-Leffler功能方面获得了分析解决方案，应用傅立叶和拉普拉斯变换。我们对模型的能量和焦耳加热效应施加传热现象。通过采用隐含的有限差分方案，在数值上也解决了控制方程。考虑到问题所涉及的相关参数的影响，将数值解决方案与分析结果进行比较。该研究描绘了流速随着分数阶参数的增加而降低，而用电渗参数观察相反的趋势。由于施加足够强度的磁场和焦耳加热效应，该温度在通道内增加。

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