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Exact analytical solution of the influence of an external centrifugal field and the heat transfer on a confined gas between two plates in the unsteady state
Advances in Mechanical Engineering ( IF 2.1 ) Pub Date : 2020-11-25 , DOI: 10.1177/1687814020975880
Taha Zakaraia Abdel Wahid 1
Affiliation  

This paper aims to study the non-stationary situation of the effectiveness of an external centrifugal force (ECF) and the heat transfer (HT) on the manner of neutral gas (NG). We solve a system of non-linear non-stationary partial differential equations, which represents an enormous task. Our model is examined to follow the manner of the macroscopic properties of the NG that bounded between two parallel horizontal rigid fixed plane plates (HRFPPs). The moment method and the traveling wave method are utilized. The draw an analogy among the perturbed distribution function (DF), and the equilibrium DF with time is studied. The thermodynamic predictions are calculated. System internal energy change (IEC) is investigated. We applied the results for laboratory helium NG. We detected that in specific conditions, we could compensate for the decreasing of particles’ number adjacent to the lower HRFPP because of the centrifugation process, with other particles adjacent to the higher heated HRFPP. We did that with the help of the reverse heat current from the heated upper HRFPP, which gave us a considerable enhancement and development of gases isotope separation processes. Furthermore, we approved that our model is compatible with the second law of thermodynamics, the rule of Le Chatelier, and the H-Theorem of Boltzmann. Those investigations were done with a non-restricted range of the temperatures ratio factor, the centrifugal Mach number, and the Knudsen numbers. The significance of this study was due to its vast applications in numerous fields, such as in physics, engineering, biomedical, and various commercial and industrial applications.



中文翻译:

外部离心场和传热对非稳态两板间密闭气体影响的精确解析解

本文旨在研究中性气体(NG)方式下外部离心力(ECF)和传热(HT)有效性的非平稳情况。我们解决了非线性非平稳偏微分方程组,这是一项艰巨的任务。检查我们的模型,以遵循在两个平行的水平刚性固定平板(HRFPP)之间界定的NG的宏观特性的方式。利用了矩量法和行波法。在扰动分布函数(DF)之间进行类比,研究了平衡DF随时间的变化。计算热力学预测。研究了系统内部能量变化(IEC)。我们将结果应用于实验室氦气NG。我们发现在特定条件下,我们可以补偿由于离心过程而使靠近较低HRFPP的颗粒数量减少,而其他颗粒靠近较高HRFPP的情况。我们借助来自加热的上部HRFPP的反向热流完成了此任务,这使我们大大增强了气体同位素分离工艺的发展。此外,我们批准了我们的模型与热力学第二定律,Le Chatelier的定律以及玻耳兹曼的H定理兼容。这些研究是在温度比例因子,离心马赫数和克努森数的非限制范围内进行的。这项研究的重要意义在于它在物理,工程,生物医学以及各种商业和工业应用等众多领域的广泛应用。

更新日期:2020-11-27
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