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Influence of Cattaneo-Christov model on Darcy-Forchheimer flow of Micropolar Ferrofluid over a stretching/shrinking sheet
International Communications in Heat and Mass Transfer ( IF 6.4 ) Pub Date : 2020-01-01 , DOI: 10.1016/j.icheatmasstransfer.2019.104385
Zahir Shah , Ebraheem O. Alzahrani , Abdullah Dawar , Asad Ullah , Ikramullah Khan

Abstract This work deals with the study of Darcy-Forchheimer flow of micropolar ferrofluid on a porous and dynamic (stretching/shrinking) sheet under the influence of thermal radiations subjected to both suction and injection. The effects of the external electric and magnetic fields are considered as well. Water is used as a base fluid and Fe3O4 (iron oxide) as electro-magnetite nanoparticles. The mathematical equations developed in this study are based on the Cattaneo-Christov model consisting of coupled nonlinear partial differential equations. These equations are transformed into a set of coupled ordinary differential equations (ODEs) by using similarity transformations. These ODEs are solved by applying the standard mathematical technique of homotopy analysis (HAM). The effects produced by different parameters on the velocity, micro-rotational velocity and temperature profiles are shown graphically for positive as well as negative mass transfer flow and for both stretching and shrinking cases. It has been observed that the velocity profile increases (decreases) with the increasing electric field strength and microrotation parameter during the stretching (shrinking) of the surface in both suction (S > 0) and injection (S 0 and S 0 as well as S

中文翻译:

Cattaneo-Christov 模型对微极性铁磁流体在拉伸/收缩片上的 Darcy-Forchheimer 流动的影响

摘要 这项工作涉及在受到吸入和注射的热辐射影响下,微极性铁磁流体在多孔动态(拉伸/收缩)片上的达西-福希海默流的研究。还考虑了外部电场和磁场的影响。水用作基液,Fe3O4(氧化铁)用作电磁铁纳米颗粒。本研究中开发的数学方程基于由耦合非线性偏微分方程组成的 Cattaneo-Christov 模型。通过使用相似变换将这些方程转换为一组耦合常微分方程 (ODE)。这些 ODE 是通过应用同伦分析 (HAM) 的标准数学技术来求解的。不同参数对速度的影响,以图形方式显示了正传质流和负传质流以及拉伸和收缩情况的微旋转速度和温度曲线。已经观察到,在抽吸(S > 0)和注入(S 0 和 S 0 以及 S )中的表面拉伸(收缩)期间,速度分布随着电场强度和微旋转参数的增加而增加(减少)
更新日期:2020-01-01
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