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旋转加热多孔圆锥上具有霍尔效应和离子滑移力的混合纳米卡罗奥- Yasuda流体的有限元模拟

Finite element simulations of hybrid nano-Carreau Yasuda fluid with hall and ion slip forces over rotating heated porous cone.

作者信息

Nazir Umar, Sohail Muhammad, Selim Mahmoud M, Alrabaiah Hussam, Kumam Poom

机构信息

Department of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad, 44000, Pakistan.

Department of Mathematics, Al-Aflaj College of Science and Humanities Studies, Prince Sattam Bin Abdulaziz University, Al-Aflaj, 710-11912, Saudi Arabia.

出版信息

Sci Rep. 2021 Oct 1;11(1):19604. doi: 10.1038/s41598-021-99116-z.

Abstract

Involvement of hybrid nanoparticles a vital role to improve the efficiency of thermal systems. This report covers the utilization of different nanoparticles mixed in Carreau Yasuda material for the improvement of thermal performance. The configuration of flow situation is considered over a rotating porous cone by considering the Hall and Ion slip forces. Transport of momentum is considered to be in a rotating cone under generalized ohm's law and heat transfer is presented by considering viscous dissipation, Joule heating and heat generation. Rheology of considered model is derived by engaging the theory proposed by Prandtl. Modeled complex PDEs are reduced into ODEs under similarity transformation. To study the physics behind this phenomenon, solution is essential. Here, FEM (Finite Element Method) is adopted to compute the solution. Furthermore, the grid independent study is reported with several graphs and tables which are prepared to note the influence of involved parameters on thermal and velocity fields. It is worth mentioning that heat transport is controlled via higher radiation parameter and it upsurges for Eckert number. Moreover, Hall and ion slip parameters are considered significant parameters to produce the enhancement in motion of fluid particles but speed of nano and hybrid nanoparticles becomes slow down versus large values of Forchheimer and Weissenberg numbers. Additionally, an enhancement in production of heat energy is addressed via large values of heat generation number and Eckert number while reduction in heat energy is occurred due to positive values of thermal radiation and Hall and ion slip parameters.

摘要

混合纳米颗粒的参与对提高热系统效率起着至关重要的作用。本报告涵盖了将不同纳米颗粒混入卡罗伊 - 亚苏达材料中以改善热性能的应用。通过考虑霍尔力和离子滑移力,研究了旋转多孔锥上的流动情况配置。在广义欧姆定律下考虑旋转锥中的动量传输,并通过考虑粘性耗散、焦耳热和热生成来呈现热传递。所考虑模型的流变学是通过运用普朗特提出的理论推导得出的。在相似变换下,将建模的复杂偏微分方程简化为常微分方程。为了研究这一现象背后的物理原理,求解是必不可少的。在此,采用有限元法(FEM)来计算解。此外,还报告了网格无关性研究,并配有多个图表,这些图表用于记录相关参数对热场和速度场的影响。值得一提的是,热传输通过较高的辐射参数进行控制,并且随着埃克特数的增加而上升。此外,霍尔参数和离子滑移参数被认为是使流体颗粒运动增强的重要参数,但纳米颗粒和混合纳米颗粒的速度相对于较大的福希海默数和魏森贝格数会减慢。此外,通过较大的热生成数和埃克特数可实现热能产生的增强,而由于热辐射以及霍尔参数和离子滑移参数的正值,热能会减少。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/82fb/8486882/b0e8d0e92310/41598_2021_99116_Fig1_HTML.jpg

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