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Impacts of couple stress with magnetic field and heat absorption on peristaltic flow of a power-law fluid containing nanoparticles

机译：临界胁迫对含有纳米颗粒的动力法流体蠕动流动的影响对磁场和吸热的影响

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摘要

This paper deals with the mathematical examination of the arrangement of incomplete differential conditions which depict the peristaltic movement of a non-Newtonian nanofluid with couple stress through a symmetric channel with flexible walls. The fluid used obeys a power-law model. The system of the non-dimensional form of momentum, heat, and concentration of the fluid flow is solved numerically by using a Rung-Kutta-Merson method with the appropriate boundary conditions after using the approximations of long wavelength and low Reynolds number. The obtained arrangements are elements of the physical boundaries of the problem. In this manner, the impacts of these boundaries on the velocity, temperature, and nanoconcentration distributions are concentrated mathematically and shown graphically through many figures. It is discovered that the physical boundaries play a significant role in controlling the arrangements, where the speed field diminishes with expansion of the attractive boundary, while it increments with expanding couple pressure and the non-Newtonian parameter of the non-Newtonian liquid. Additionally, the temperature and nanoconcentration changes with the Brownian parameter and thermophoresis. Moreover, the temperature distribution increases with increase of the magnetic parameter, Prandtl number, Eckert number, and heat source.
机译：本文涉及对不完全差异条件的布置的数学检验，其描绘了非牛顿纳米流体的蠕动运动，其通过具有柔性壁的对称通道的夫妇应力。流体使用了obeys幂律模型。通过使用在使用长波长和低雷诺数的近似之后使用适当的边界条件的梯形-Kutta-Merson方法来解决流体流动的不尺寸形式，热量和浓度的系统。获得的布置是问题的物理边界的元素。以这种方式，这些边界对速度，温度和纳米浓缩分布的影响是以数学浓缩的，并通过许多图形地示出。被发现，物理边界在控制排列方面发挥着重要作用，其中速度场随着吸引力边界的膨胀而减小，而IT扩大耦合压力和非牛顿液体的非牛顿参数的增量。另外，温度和纳米浓度随比褐色参数和耐热度而变化。此外，温度分布随着磁性参数，Prandtl号码，Eckert号和热源的增加而增加。

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