Numerical Treatment of MHD Rotating Flow of NanoMicropolar Fluid with Impact of Temperature-Dependent Heat Generation and Variable Porous Matrix

H. Soliman
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Abstract

As the micropolar fluid has an essential rule in cervical flows and the polymer industry, this study looks at the developments of Activation energy and temperature-dependent heat generation effects on the MHD boundary layer flow of nano-micropolar fluid over a porous plate. Viscous and Joule heating, exponentially stretching surface, porous matrix with Darcy expression, and linearized Roseland radiation are considered. The differential equations of the applied system are governed theoretically and solved semi-numerically by the shooting method with the aid of 𝑝𝑎𝑐𝑘𝑎𝑔𝑒 (𝑜𝑑𝑒45) . The convenient similarity is used to obtain the system of differential equations. Core results show that activation energy improves the rheological characteristics of the thermal boundary layer by moderating the nanoparticle concentration. Furthermore, the distribution of boundary layer velocity is diminished sluggishly as acts of the porous metrics decline the nanofluid velocity. The novelty of the proposed model is the applications of its components which are related to the heat of the Roseland radiative and transpiration cooling system. The rate of the cooling system has a considerable impact on the properties of the final product in polymer technology with the elongation of plastic sheets, thus presenting the final product with some desired appearances.
温度相关生热和可变多孔基质影响下纳米微极流体MHD旋转流动的数值处理
由于微极流体在颈流和聚合物工业中具有重要的规律,本研究着眼于活化能和温度相关的产热对纳米微极流体在多孔板上的MHD边界层流动的影响。考虑了粘性和焦耳加热、指数拉伸表面、达西表达式多孔矩阵和线性化的罗斯兰辐射。对应用系统的微分方程进行了理论控制,并借助于𝑝𝑎𝑐𝑘𝑎𝑔𝑒(𝑜𝑑𝑒45),用射击法进行了半数值求解。利用方便的相似性得到微分方程组。核心结果表明,活化能通过调节纳米颗粒浓度来改善热边界层的流变特性。此外,边界层速度的分布随着孔隙度的降低而缓慢减小。所提出的模型的新颖之处在于其组件的应用,这些组件与罗斯兰辐射和蒸腾冷却系统的热量有关。在聚合物技术中,冷却系统的速率对最终产品的性能有相当大的影响,从而使最终产品具有一些期望的外观。
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