A Numerical Approach of forced convective MHD Casson hybrid nano fluid flows exposed to Joule heating and viscous dissipation over diverging channel

IF 2.5 4区工程技术 Q2 ENGINEERING, MECHANICAL

Journal of Porous Media Pub Date : 2023-01-01 DOI:10.1615/jpormedia.2023047328

Abhishek Kumar Singh, Gnanaprasanna Kalathi

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引用次数: 0

Abstract

The present study deals with boundary layer flows of buoyancy driven magnetohydrodynamic, chemical radiative and temperature sensitive Casson hybrid nano fluid over diverging channel. Copper (Cu) and aluminium oxide $(Al_2O_3)$ nano particles are suspended upon ethylene glycol based non-newtonian Casson fluid. The proposed model is applicable in power transmission system, design of nuclear reactors where moving plate is used as a control rod and design of compression moulding process. The boundary layer governing equations undergo non-similar transformations followed by Quasilinearization technique and Implicit finite difference scheme. Varga's algorithm is applied on the obtained block tri-diagonal system of equations. This study mainly deals with varying values of Reynold's number, Eckert number, Casson parameter and Richardson's number on velocity,temperature, drag coefficient and nusselt number profiles. Also surface plots are plotted with varied values of Casson parameter and magnetic parameter on skin friction coefficient and nusselt number. The results reveal that for enhanced values of Casson parameter $\beta$, the velocity profile is augmented and the temperature profile is declined. It is observed that the temperature profile is enhanced at the centre of the channel for enhanced values of viscous dissipation parameter Ec.

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受焦耳加热和粘性耗散影响的MHD - Casson混合纳米流体强迫对流流动的数值模拟

本文研究了浮力驱动的磁流体动力学、化学辐射和温敏卡森混合纳米流体在发散通道上的边界层流动。铜(Cu)和氧化铝$(Al_2O_3)$纳米颗粒悬浮在乙二醇基非牛顿卡森流体上。该模型适用于动力传动系统、以动板为控制棒的核反应堆设计和压缩成型工艺设计。边界层控制方程经过非相似变换，然后采用拟线性化技术和隐式有限差分格式。对得到的分块三对角线方程组应用Varga算法。本文主要研究雷诺数、Eckert数、Casson参数和Richardson数在速度、温度、阻力系数和努瑟尔数等剖面上的变化。用卡森参数和磁参量对表面摩擦系数和努赛尔数的影响绘制了曲面图。结果表明，当Casson参数$\beta$增大时，速度剖面增大，温度剖面减小。观察到，随着粘性耗散参数Ec值的增大，通道中心的温度分布增强。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Porous Media 工程技术-工程：机械

CiteScore

3.50

自引率

8.70%

发文量

审稿时长

12.5 months

期刊介绍： The Journal of Porous Media publishes original full-length research articles (and technical notes) in a wide variety of areas related to porous media studies, such as mathematical modeling, numerical and experimental techniques, industrial and environmental heat and mass transfer, conduction, convection, radiation, particle transport and capillary effects, reactive flows, deformable porous media, biomedical applications, and mechanics of the porous substrate. Emphasis will be given to manuscripts that present novel findings pertinent to these areas. The journal will also consider publication of state-of-the-art reviews. Manuscripts applying known methods to previously solved problems or providing results in the absence of scientific motivation or application will not be accepted. Submitted articles should contribute to the understanding of specific scientific problems or to solution techniques that are useful in applications. Papers that link theory with computational practice to provide insight into the processes are welcome.