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A couple stress of peristaltic motion of Sutterby micropolar nanofluid inside a symmetric channel with a strong magnetic field and Hall currents effect
Archive of Applied Mechanics ( IF 2.2 ) Pub Date : 2021-06-01 , DOI: 10.1007/s00419-021-01990-6
Nabil T. M. El-Dabe , Galal M. Moatimid , Mona A. A. Mohamed , Yasmeen M. Mohamed

The current study investigates the peristaltic transport of an incompressible micropolar non—Newtonian nanofluid following the Sutterby model. The heat and mass transfer inside the two-dimensional symmetric vertical channel is considered. The system is affected by a strong magnetic field together with thermal radiation, couple stress, chemical reaction, Joule heating, heat generation, Dufour, Soret and Hall current effects. The governing equations of motion are analytically solved by utilizing the long wavelength and low Reynolds number approximations. Furthermore, the resulted boundary—value problem is solved by means of the Homotopy perturbation method (HPM). An illustration of the influence of the various physical parameters in the foreign distributions; such as Hall currents, magnetic field, Sutterby, couple stress, Brownian motion, thermophoresis and slip parameters is obtained throughout a set of graphs and tables. It is observed that the axial velocity enhances with the increase in the Sutterby parameter. Furthermore, the temperature decreases with the larger values of a heat transfer Biot number. While, the concentration enlarges with the increase in the values of mass transfer Biot numbers. Moreover, the trapping phenomenon is discussed throughout a set of figures. This depicts the variation of the streamlines under the impact of couple stress, amplitude ratio, and magnetic field parameters. It is noticed that the size of the trapped bolus increases with the increase in the foregoing three parameters.



中文翻译:

具有强磁场和霍尔电流效应的对称通道内萨特比微极纳米流体蠕动的耦合应力

目前的研究调查了不可压缩的微极非牛顿纳米流体遵循 Sutterby 模型的蠕动传输。考虑二维对称垂直通道内的传热传质。该系统受到强磁场以及热辐射、耦合应力、化学反应、焦耳热、发热、杜福尔、索雷特和霍尔电流效应的影响。通过利用长波长和低雷诺数近似值来解析求解运动控制方程。此外,通过同伦微扰方法(HPM)解决了由此产生的边界值问题。国外分布中各种物理参数影响的说明;例如霍尔电流、磁场、萨特比、耦合应力、布朗运动、热泳和滑移参数可通过一组图形和表格获得。观察到轴向速度随着 Sutterby 参数的增加而增加。此外,传热比奥数越大,温度越低。同时,浓度随着传质Biot数的增加而增大。此外,在一组图中讨论了捕获现象。这描绘了在耦合应力、振幅比和磁场参数的影响下流线的变化。值得注意的是,截留团块的大小随着上述三个参数的增加而增加。此外,传热比奥数越大,温度越低。同时,浓度随着传质Biot数的增加而增大。此外,在一组图中讨论了捕获现象。这描绘了在耦合应力、振幅比和磁场参数的影响下流线的变化。值得注意的是,截留团块的大小随着上述三个参数的增加而增加。此外,传热比奥数越大,温度越低。同时,浓度随着传质Biot数的增加而增大。此外,在一组图中讨论了捕获现象。这描绘了在耦合应力、振幅比和磁场参数的影响下流线的变化。值得注意的是,截留团块的大小随着上述三个参数的增加而增加。振幅比和磁场参数。值得注意的是,截留团块的大小随着上述三个参数的增加而增加。振幅比和磁场参数。值得注意的是,截留团块的大小随着上述三个参数的增加而增加。

更新日期:2021-06-01
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