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Impacts of the periodic wall conditions on the hydromagnetic convective flow of viscoelastic fluid through a vertical channel with Hall current and induced magnetic field

机译:周期壁条件对霍尔电流垂直通道粘弹性流体含水质对流流动的影响及磁场

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摘要

In this study, a mathematical analysis is presented for the hydromagnetic convective flow of an in-compressible, chemically reacting, and electrically and thermally conducting viscoelastic fluid through a vertical channel bounded by the porous regime under the action of an applied magnetic field with Hall current and induced magnetic field effects. The left wall of the channel is considered to be nonmagnetic, whereas the right wall of the channel is periodically magnetized. The flow within the channel is induced due to the nonuniform wall temperature and con-centration, periodic pressure gradient, and periodic movement of the right wall. The method of separa-tion of variable is used to convert the flow governing coupled partial differential equations into the ordin-ary differential equations that are solved analytically, and the solution for fluid velocity, induced magnetic field, temperature, and concentration is presented in a closed form. Numerical computation has been performed to demonstrate the impact of various sys-tem parameters on the fluid flow behavior. It is ob-served that oscillations increase the primary flow and primary induced magnetic field. Buoyancy forces have a tendency to lessen the secondary induced magnetic field. Furthermore, it is examined that magnetic diffusivity increases the primary flow, whereas it decreases the secondary flow and primary induced magnetic field.
机译:在该研究中,呈现了一种数学分析,用于通过在展开霍尔电流的施加磁场的作用下通过多孔状态界定的垂直通道通过垂直通道进行含水微米对流流动。并引起磁场效应。通道的左壁被认为是非磁性的,而频道的右壁是周期性的磁化的。由于非均匀的壁温和Con-enderation,周期性的压力梯度和右壁的周期性移动,引起通道内的流动。变量的分离方法用于将控制耦合偏微分方程的流量转换为分析求解的符号 - ary微分方程,并且呈现出流体速度,诱导磁场,温度和浓度的溶液封闭形式。已经执行数值计算以展示各种系统参数对流体流动行为的影响。它是OB - 服务的振荡增加了主要流动和主要诱导的磁场。浮力力具有减少二次诱导磁场的趋势。此外,检查磁扩散率增加了主要流动,而它降低了二次流动和主要诱导的磁场。

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