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Numerical study of entropy generation in Darcy-Forchheimer (D-F) Bödewadt flow of CNTs
International Journal of Hydrogen Energy ( IF 8.1 ) Pub Date : 2021-08-27 , DOI: 10.1016/j.ijhydene.2021.08.013
T. Hayat 1, 2 , Khursheed Muhammad 1 , S. Momani 3, 4
Affiliation  

Three-dimensional Bödewadt flow (fluid rotates at a large enough distance from the stationary plate) of carbon nanomaterial is examined. Single walled and multi walled CNTs are dissolved in water and gasoline oil baseliquids. Darcy-Forchheimer porous medium is considered. Stationary disk is further stretched linearly in radial direction. Heat transfer effect is examined in presence of radiation and convection. Effect of viscous dissipation is accounted. Entropy generation rate is studied. By using adequate transformation (von Kármán relations), the flow field equations (PDEs) are transmitted into ODEs. Solutions to these ODEs are constructed via implementation of shooting method (bvp4c). In addition to Entropy generation rate, Bejan number, heat transfer rate (Nusselt number), skin friction and temperature of fluid are examined through involved physical parameters. Axial component of velocity intensifies with increment in nanoparticles volume fraction and ratio of stretching rate to angular velocity parameter while it decays with higher porosity parameter. Higher nanoparticles volume fraction and porosity parameter lead to decay in radial as well as tangential component of velocity. However it enhances with higher ratio of stretching rate to angular velocity parameter. Temperature of fluid directly varies with higher ratio of stretching rate to angular velocity parameter, radiation parameter, Eckert number, Biot number and nanoparticles volume fraction. Rate of Entropy generation is reduced with higher estimations of porosity parameter, nanoparticles volume fraction and radiation parameter. Skin friction coefficient decays with higher porosity parameter and ratio of stretching rate to angular velocity parameter. Intensification in porosity parameter, nanoparticles volume fraction and Biot number leads to higher Nusselt number. Prominent impact is shown by multiple-walled CNTs with gasoline oil basefluid than single-walled CNTs with water basefluid.



中文翻译:

Darcy-Forchheimer (DF) Bödewadt 碳纳米管流熵生成的数值研究

检查了碳纳米材料的三维 Bödewadt 流(流体在距静止板足够大的距离处旋转)。单壁和多壁碳纳米管溶解在水和汽油基液中。考虑 Darcy-Forchheimer 多孔介质。固定盘在径向方向上进一步线性拉伸。在存在辐射和对流的情况下检查传热效果。考虑了粘性耗散的影响。研究熵产生率。通过使用适当的变换(von Kármán 关系),流场方程 (PDE) 被传输到 ODE。这些 ODE 的解决方案是通过实现射击方法 (bvp4c) 构建的。除了熵产生率、贝扬数、传热率(努塞尔数),通过涉及的物理参数检查皮肤摩擦和流体温度。速度的轴向分量随着纳米颗粒体积分数和拉伸速率与角速度参数之比的增加而增强,而随着孔隙率参数的增加而衰减。较高的纳米颗粒体积分数和孔隙率参数导致速度的径向和切向分量衰减。然而,它随着拉伸速率与角速度参数之比的提高而增强。流体的温度直接随着拉伸速率与角速度参数、辐射参数、埃克特数、毕奥数和纳米颗粒体积分数的比值的增大而变化。随着对孔隙度参数、纳米颗粒体积分数和辐射参数的更高估计,熵产生率降低。皮肤摩擦系数随着孔隙率参数和拉伸速率与角速度参数的比值的增加而衰减。孔隙度参数、纳米颗粒体积分数和 Biot 数的强化导致更高的 Nusselt 数。具有汽油基流体的多壁碳纳米管比具有水基流体的单壁碳纳米管显示出显着的影响。

更新日期:2021-09-22
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