Abstract
The present article has been fine-tuned with the investigation of mixed convection Darcy-Forchheimer flow of ZnO-SAE50 oil nanolubricant over an inclined rotating disk under the influence of uniform applied magnetic field applied to various industries. The current study has been enriched with additional consideration of slip flow, thermal radiation, viscous dissipation, Joulian dissipation and internal heating. In view of augmentation of thermal conductivity of nanolubricant, a new micro-nano-convection model namely Patel model has been invoked. The specialty of this model involves the effects of specific surface area and nano-convection due to Brownian motion of nanoparticles, kinetic theory based micro-convection, liquid layering and particle concentration. Suitably transformed governing equations have been solved numerically by using Runge-Kutta-Fehlberg scheme. An analysis of the present study has shown that applied magnetic field, porosity of the medium, velocity slip and inertia coefficient account for the slowing down of radial as well as tangential flow of ZnO-SAE50 oil nanolubricant, thereby leading to an improvement in velocity and thermal boundary layers.
摘要
考虑工业中外加磁场对倾斜旋转盘的影响, 对氧化锌-SAE50 纳米润滑剂的 Darcy-Forchheimer 混合对流进行了详细研究。研究中同时考虑了滑移流动、热辐射、黏性耗散、Joulian 耗散和内部加热 的影响, 对当前研究进行了改进。考虑到纳米润滑剂热导率的增大, 提出了一种新的微纳米对流模型, 即 Patel 模型。该模型的特点是由于纳米粒子的布朗运动、基于动力学理论的微对流、液体分层和粒 子聚集而引起的比表面积和纳米对流的变化。利用 Runge-Kutta-Fehlberg 方法, 对适当变换的控制方 程进行了数值求解。分析表明, 外加磁场、介质的孔隙度、速度滑移和惯性系数减慢了ZnO-SAE50 纳米润滑剂的径向和切向流动, 从而导致速度和热边界层的改善。
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Nayak, M.K., Mehmood, R., Makinde, O.D. et al. Magnetohydrodynamic flow and heat transfer impact on ZnO-SAE50 nanolubricant flow over an inclined rotating disk. J. Cent. South Univ. 26, 1146–1160 (2019). https://doi.org/10.1007/s11771-019-4077-8
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DOI: https://doi.org/10.1007/s11771-019-4077-8
Key words
- ZnO-SAE50 nanofluid
- Darcy-Forchheimer MHD flow
- thermal radiation
- velocity slip
- viscous dissipation
- internal heating