倾斜板上耦合应力流体层的非线性流动

IF 1.9 4区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS
Magdy A. Sirwah , Ahmed Assaf
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引用次数: 0

摘要

研究了倾斜平面上薄耦合应力液层流动的稳定性问题。讨论了线性过渡状态和最大经典(牛顿)增长率的降低率。使用线性方法对完整的演化方程进行了数值求解,以支持这项工作的新颖性。通过增加耦合应力系数和表面张力以及减小倾角,线性稳定性得以增强。然而,普通粘度却起着不规则的作用。线性结果预测了非牛顿薄膜比牛顿薄膜更稳定的条件(窗口)。非线性刺激预测了某些情况下袜子波的存在。通过线性亚临界区出现的不稳定性以及表面张力和耦合应力特性的不规则影响被揭示出来。非线性方法比线性方法更能准确地描述稳定性问题。这些结果可用于达到薄膜稳定性的最佳状态,并控制冲击波。这些结果不仅可以在惯性约束聚变囊设计、超新星爆炸和内爆建模中得到准确的实际应用,还可以进行精确的数值模拟。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonlinear flow of couple stress fluid layer over an inclined plate

The issue of stability of a thin couple-stress liquid layer flows on an inclined plane was inspected. The thin-film approximation was employed to obtain a Benney-like differential equation, that described the time record of the interface profile The linear transition state and reduction ratio of maximum classical (Newtonian) growth-rate were discussed. The complete evolution equation was solved numerically using the method of lines in order to support the novelty of the work. The linear stability could be enhanced by increasing the couple-stress coefficient and surface tension as well as reducing the inclination. However, the ordinary viscosity played an irregular role. The linear results predicted conditions (windows) in which the non-Newtonian film was more stable than its Newtonian counterpart. The nonlinear stimulation anticipated the existence of sock waves in certain situations. The appearance of instability through the linear subcritical region as well as irregular influences with respect to surface tension and couple-stress property was revealed. The nonlinear approach was more accurate in describing the stability issue than the linear one. Such results could be employed to attain the optimum statuses with regard to the film stability, and control the shock waves. They would not only enable accurate practical implementation in the design of inertial confinement fusion capsules and supernova explosions and implosions modeling, but also would allow for precise numerical simulation.

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来源期刊
Dynamics of Atmospheres and Oceans
Dynamics of Atmospheres and Oceans 地学-地球化学与地球物理
CiteScore
3.10
自引率
5.90%
发文量
43
审稿时长
>12 weeks
期刊介绍: Dynamics of Atmospheres and Oceans is an international journal for research related to the dynamical and physical processes governing atmospheres, oceans and climate. Authors are invited to submit articles, short contributions or scholarly reviews in the following areas: •Dynamic meteorology •Physical oceanography •Geophysical fluid dynamics •Climate variability and climate change •Atmosphere-ocean-biosphere-cryosphere interactions •Prediction and predictability •Scale interactions Papers of theoretical, computational, experimental and observational investigations are invited, particularly those that explore the fundamental nature - or bring together the interdisciplinary and multidisciplinary aspects - of dynamical and physical processes at all scales. Papers that explore air-sea interactions and the coupling between atmospheres, oceans, and other components of the climate system are particularly welcome.
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