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We consider the problem of a rigid surface moving over a flat plane. The surfaces are separated by a small gap filled by a lubricant fluid. The relative position of the surfaces is unknown except for the initial time $t=0$. The total load…

偏微分方程分析 · 数学 2009-02-26 Ionel Sorin Ciuperca , José Ignacio Tello

Flow of a thin viscous film down a flat inclined plane becomes unstable to long wave interfacial fluctuations when the Reynolds number based on the mean film thickness becomes larger than a critical value (this value decreases as the angle…

流体动力学 · 物理学 2016-01-20 Alice B. Thompson , Dmitri Tseluiko , Demetrios T. Papageorgiou

Numerical simulations are made for forced turbulence at a sequence of increasing values of Reynolds number, R, keeping fixed a strongly stable, volume-mean density stratification. At smaller values of R, the turbulent velocity is mainly…

流体动力学 · 物理学 2016-09-08 Jean-Philippe Laval , James C. McWilliams

The transition of hypersonic boundary layer can lead to a several-fold increase in surface heat flux and skin friction for the aircraft, significantly impacting its flight performance. The corrugated wall, as a passive control method for…

流体动力学 · 物理学 2023-11-28 Yining Yang , Rui Zhang , Jianfeng Chen , Sha Liu , Congshan Zhuo , Weibo Hu , Chengwen Zhong

We consider the dynamics of thin two-dimensional viscous droplets on chemically heterogeneous surfaces moving under the combined effects of slip, mass transfer and capillarity. The resulting long-wave evolution equation for the droplet…

流体动力学 · 物理学 2021-12-20 Danny Groves , Nikos Savva

Anisotropic hydrodynamics improves upon standard dissipative fluid dynamics by treating certain large dissipative corrections non-perturbatively. Relativistic heavy-ion collisions feature two such large dissipative effects: (i) Strongly…

核理论 · 物理学 2018-06-06 M. McNelis , D. Bazow , U. Heinz

The main purpose of this paper is to seek a mechanical interpretation of gravitational phenomena. We suppose that the universe may be filled with a kind of fluid which may be called the $\Omega (0)$ substratum. Thus, the inverse-square law…

综合物理 · 物理学 2017-12-29 Xiao-Song Wang

This paper numerically investigates the instability characteristics of decelerating flows. The flow dynamics and temporal evolution of coherent structures in a diverging section with mild spatial pressure gradient are analyzed using…

流体动力学 · 物理学 2023-05-30 Ahire Swapnil Ashok , Manu K.

Theoretical results on water waves almost always start by assuming irrotationality of the flow in order to simplify the formulation. In this work, we investigate the well-foundedness of this hypothesis via numerical simulations of the…

流体动力学 · 物理学 2025-11-21 Alan Riquier , Emmanuel Dormy

A dynamical version of the Widom-Rowlinsom model in the continuum is considered. The dynamics is modelled by a spatial two-component birth-and-death Glauber process where particles, in addition, are allowed to change their type with density…

动力系统 · 数学 2022-03-17 Martin Friesen

A qualitative explanation for the scaling of energy dissipation by high Reynolds number fluid flows in contact with solid obstacles is proposed in the light of recent mathematical and numerical results. Asymptotic analysis suggests that it…

流体动力学 · 物理学 2018-11-27 Romain Nguyen van yen , Mathias Waidmann , Rupert Klein , Marie Farge , Kai Schneider

Modeling of wall-bounded turbulent flows is still an open problem in classical physics, with only modest progress made in the last few decades beyond the so-called `log law', which describes only the intermediate region in wall-bounded…

流体动力学 · 物理学 2018-08-31 Fangying Song , George Em Karniadakis

The existence of global weak solutions is proved for one-dimensional lubrication models that describe the dewetting process of nanoscopic thin polymer films on hydrophobyzed substrates and take account of large slippage at the…

偏微分方程分析 · 数学 2010-12-06 Georgy Kitavtsev , Philippe Laurencot , Barbara Niethammer

Experiments (Mullin and Kreswell, 2005) show that transition to turbulence can start at Reynolds numbers lower than it is predicted by the linear stability analysis - the subcritical transition to turbulence. To explain these observations…

流体动力学 · 物理学 2008-07-08 K. Y. Volokh

Previous studies on peristalsis, the pumping of fluid along a channel by wave-like displacements of the channel walls, have shown that the elastic properties of the channel and the peristaltic wave shape can influence the flow rate.…

流体动力学 · 物理学 2025-08-12 Avery Trevino , Thomas R. Powers , Roberto Zenit , Mauro Rodriguez

We study the fluid flow through disordered porous media by numerically solving the complete set of the Navier-Stokes equations in a two dimensional lattice with a spatially random distribution of solid obstacles (plaquettes). We simulate…

无序系统与神经网络 · 物理学 2015-06-25 U. M. S. Costa , J. S. Andrade , H. A. Makse , H. E. Stanley

We investigate high-Reynolds number turbulence in dilute polymer solutions. We show the existence of a critical value of the Reynolds number which separates two different regimes. In the first regime, below the transition, the influence of…

混沌动力学 · 物理学 2009-11-07 E. Balkovsky , A. Fouxon , V. Lebedev

A recent article uncovered a surprising dynamical mechanism at work within the (vacuum) Einstein `flow' that strongly suggests that many closed 3-manifolds that do not admit a locally homogeneous and isotropic metric \textit{at all} will…

广义相对论与量子宇宙学 · 物理学 2019-03-04 Vincent Moncrief , Puskar Mondal

Elastic turbulence can lead to to increased flow resistance, mixing and heat transfer. Its control -- either suppression or promotion -- has significant potential, and there is a concerted ongoing effort by the community to improve our…

流体动力学 · 物理学 2025-12-05 Jack R. C. King , Robert J. Poole , Cláudio P. Fonte , Steven J. Lind

It has hitherto been widely considered that a mixing layer is unstable at all Reynolds numbers. However this is untenable from energy considerations, which demand that there must exist a non-zero Reynolds number below which disturbances…

流体动力学 · 物理学 2007-05-23 Pinaki Bhattacharya , M. P. Manoharan , Rama Govindarajan , R. Narasimha