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We introduce and study a one-parameter family of curve diffusion flows with a scale-critical cubic curvature term for closed immersed planar curves. We first classify all closed stationary solutions, showing that they are precisely circles…

偏微分方程分析 · 数学 2026-04-03 Tatsuya Miura , Glen Wheeler

Motivated by the recent numerical results of Khalid et al., Phys. Rev. Lett., 127, 134502 (2021), we consider the large-Weissenberg-number ($W$) asymptotics of the centre mode instability in inertialess viscoelastic channel flow. The…

流体动力学 · 物理学 2023-12-18 Rich Kerswell , Jacob Page

The pressure gradient has a significant influence on the mean-flow properties of turbulent boundary layers. Conventional analytical studies on PG turbulent boundary layers are conducted separately for the viscous sub-layer and overlap layer…

流体动力学 · 物理学 2024-09-10 Tan-Tan Du , Jun Chen , Wei-Tao Bi , Zhen-Su She

We perform direct numerical simulations of laminar separated flows over finite-aspect-ratio swept wings at a chord-base Reynolds number of $Re = 400$ to reveal a variety of wake structures generated for a range of aspect ratios…

流体动力学 · 物理学 2020-10-28 Kai Zhang , Shelby Hayostek , Michael Amitay , Anton Burtsev , Vassilios Theofilis , Kunihiko Taira

In this article, we present a multiscale characterization of the streamwise velocity of a turbulent channel flow. We study the 2nd and 4th order structure functions and the flatness for scales ranging from the dissipative to the integral…

流体动力学 · 物理学 2025-06-09 Carlos Granero-Belinchon , Stéphane G. Roux , Nicolas B. Garnier

In a turbulent boundary layer over a smooth flat plate with zero pressure gradient, the intermediate structure between the viscous sublayer and the free stream consists of two layers: one adjacent to the viscous sublayer and one adjacent to…

数值分析 · 数学 2025-10-20 G. I. Barenblatt , A. J. Chorin , V. M. Prostokishin

Flow networks are fundamental for understanding systems such as animal and plant vasculature or power distribution grids. These networks can encode, transmit, and transform information embodied in the spatial and temporal distribution of…

We present a comprehensive study of MHD waves and instabilities in a weakly ionised system, e.g., an interstellar molecular cloud. We determine all the critical wavelengths of perturbations across which the sustainable wave modes can change…

太阳与恒星天体物理 · 物理学 2011-04-01 Telemachos Ch. Mouschovias , Glenn E. Ciolek , S. A. Morton

We investigate the linear properties of the steady and axisymmetric stress-driven spin-down flow of a viscous fluid inside a spherical shell, both within the incompressible and anelastic approximations, and in the asymptotic limit of small…

流体动力学 · 物理学 2020-12-02 Damien Gagnier , Michel Rieutord

This paper concerns the dynamics of a layer of incompressible viscous fluid lying above a vertically oscillating rigid plane and with an upper boundary given by a free surface. We consider the problem with gravity and surface tension for…

偏微分方程分析 · 数学 2019-05-14 David Altizio , Ian Tice , Xinyu Wu , Taisuke Yasuda

Microfluidic systems are usually fabricated with soft materials that deform due to the fluid stresses. Recent experimental and theoretical studies on the steady flow in shallow deformable microchannels have shown that the flow rate is a…

流体动力学 · 物理学 2020-09-14 A. Martínez-Calvo , A. Sevilla , G. G. Peng , H. A. Stone

In this paper, we report new insight into a symmetry-breaking phenomenon that occurs for turbulent flow in periodic porous media composed of cylindrical solid obstacles with circular cross-section. We have used Large Eddy Simulation to…

流体动力学 · 物理学 2025-02-24 Vishal Srikanth , Andrey V. Kuznetsov

We present an asymptotic theory for analytical characterization of the high-Reynolds-number incompressible flow of a Newtonian fluid past a shear-free circular cylinder. The viscosity-induced modifications to this flow are localized and…

流体动力学 · 物理学 2020-11-18 Anuj Kumar , Nidhil Mohamed A. R , Pritam Giri , Ratnesh K. Shukla

The turbulent/non-turbulent interface is analysed in a direct numerical simulation of a boundary layer in the range $Re_\theta=2800-6600$, with emphasis on the behaviour of the relatively large-scale fractal intermittent region. This…

流体动力学 · 物理学 2017-10-23 Guillem Borrell , Javier Jiménez

The dynamics of a thin layer of liquid, between a flat solid substrate and an infinitely-thick layer of saturated vapor, is examined. The liquid and vapor are two phases of the same fluid, governed by the diffuse-interface model. The…

统计力学 · 物理学 2021-09-27 E. S. Benilov

We study interaction of inertial waves with geostrophic flow in a rapidly rotating fluid system. In accordance with experimental conditions in [1, 2], we consider inertial waves, which were excited by a source being near side boundary of…

流体动力学 · 物理学 2025-10-02 Nikolay A. Ivchenko , Sergey S. Vergeles

Unconfined granular flows along an inclined plane are investigated experimentally. During a long transient, the flow gets confined by quasistatic banks but still spreads laterally towards a well-defined asymptotic state following a…

软凝聚态物质 · 物理学 2007-05-23 S. Deboeuf , E. Lajeunesse , O. Dauchot , B. Andreotti

Osmotically driven flow across a semi-permeable membrane under a constant static pressure difference is revisited with referring to the previous reports for reverse osmosis. A few mathematical techniques for obtaining the approximate…

软凝聚态物质 · 物理学 2021-11-30 Tomoaki Itano , Keito Konno , Taishi Inagaki , Masako Sugihara-Seki

Linear stability analysis is applied to the mean flow of an oscillating round jet with the aim to investigate the robustness and accuracy of mean flow stability wave models. The jet's axisymmetric mode is excited at the nozzle lip through a…

流体动力学 · 物理学 2015-06-22 Kilian Oberleithner , Lothar Rukes , Julio Soria

The linear stability of stratified two-phase flows in rectangular ducts is studied numerically. The linear stability analysis takes into account all possible infinitesimal three-dimensional disturbances and is carried out by solution of the…

流体动力学 · 物理学 2020-04-09 Alexander Gelfgat , Neima Brauner