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Linear stability analysis of (Cu-Al2O3)/water hybrid nanofluid flow in porous media in presence of hydromagnetic, small suction and injection effects
Alexandria Engineering Journal ( IF 6.2 ) Pub Date : 2020-11-24 , DOI: 10.1016/j.aej.2020.11.007
Pascalin Tiam Kapen , Cedric Gervais Njingang Ketchate , Didier Fokwa , Ghislain Tchuen

In this paper, a stability analysis of a hybrid nanofluid flow between two parallel and stationnary plates filled with a porous medium was investigated. The hybrid nanofluid is composed of water as regular fluid, copper (Cu) and alumina (Al2O3) as nanoparticles. A mathematical modeling of the problem was developed by taking account other effects such as aspiration (suction/injection) and magnetic field. An eigenvalue differential equation namely the modified Orr-Sommerfeld equation governing the stability of the flow was derived and solved numerically by spectral collocation method with expansions in Chebyshev polynomials. The effect of the density of particles, suction/injection Reynolds number, Hartmann number, Darcy number and volume fraction on the flow stability was examined and presented. It was found the following: the Darcy number affects the stability of the flow, the suction/injection reduces the drag and the transition is delayed/prevented, the magnetic field makes the dissipation very important because the kinetic energy of the electrically conductive fluid is absorbed by the Lorentz force, and the volume fraction and the density of nanoparticles increased the inertia of the fluid which decreased the speed gradient and damped the disturbances.



中文翻译:

(Cu-Al 2 O 3)/水杂化纳米流体在多孔介质中存在水磁,吸力和注入效应较小时的线性稳定性分析

本文研究了填充有多孔介质的两个平行平板与固定平板之间混合纳米流体流动的稳定性。混合纳米流体由作为常规流体的水,铜()和氧化铝(2Ø3)作为纳米粒子。通过考虑其他影响,例如抽吸(抽吸/注射)和磁场,对问题进行了数学建模。推导了一个特征值微分方程,即控制流动稳定性的改进的Orr-Sommerfeld方程,并通过谱配点法在Chebyshev多项式中将其展开进行数值求解。考察了颗粒密度,吸/注雷诺数,哈特曼数,达西数和体积分数对流动稳定性的影响。发现以下情况:达西数影响流动的稳定性,吸入/注入减少了阻力,并且过渡/延迟了,

更新日期:2020-11-25
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