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The critical behavior of two-dimensional $n$-vector $\lambda\phi^4$ field model is studied within the framework of pseudo-$\epsilon$ expansion approach. Pseudo-$\epsilon$ expansions for Wilson fixed point location $g^*$ and critical…

统计力学 · 物理学 2015-06-18 M. A. Nikitina , A. I. Sokolov

In this paper, the decay and growth of localized wave packet (LWP) in two-dimensional plane-Poiseuille flow are studied numerically and theoretically. When the Reynolds number ($Re$) is less than a critical value $Re_c$, the disturbance…

流体动力学 · 物理学 2022-06-29 Linsen Zhang , Jianjun Tao

Processing the data from a large variety of zero-pressure-gradient boundary layer flows shows that the Reynolds-number-dependent scaling law, which the present authors obtained earlier for pipes, gives an accurate description of the…

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

Pressurised cylindrical channels made of soft materials are ubiquitous in biological systems, soft robotics, and metamaterial designs. In this paper, we study large deformation of a long, thick-walled, and compressible hyperelastic…

斑图形成与孤子 · 物理学 2022-05-11 Sumit Mehta , Gangadharan Raju , Shanmugam Kumar , Prashant Saxena

Reynolds proposed that after sufficiently long times, the flow in a pipe should settle to a steady condition: below a critical Reynolds number, flows should (regardless of initial conditions) always return to laminar, while above, eddying…

流体动力学 · 物理学 2018-02-14 Vasudevan Mukund , Björn Hof

At a fixed distance from the body which creates the wake, entrainment is only seen to increase with the Reynolds number ($R$) up to a distance of almost 20 body scales. This increase levels up to a Reynolds number close to the critical…

流体动力学 · 物理学 2009-07-01 Tordella Daniela , Scarsoglio Stefania

This work investigates the long-time asymptotic behavior of a diffusing passive scalar advected by fluid flow in a straight channel with a periodically varying cross-section. The goal is to derive an asymptotic expansion for the scalar…

流体动力学 · 物理学 2026-04-09 Lingyun Ding

Numerical simulations are conducted to analyze flow characteristics around two tandem sharp-edged cylinders with cross sections of square (b*1 = 1) for the upstream cylinder and rectangle (b*2) for the downstream cylinder (b* = b/a, where a…

流体动力学 · 物理学 2023-09-15 M. Kouchakzad , A. Sohankar , M. R. Rastan

Turbulent signals are known to exhibit burst-like activities, which affect the turbulence statistics at both large and small scales of the flow. In our study, we pursue this problem from the perspective of an event-based framework, where…

流体动力学 · 物理学 2023-01-26 Subharthi Chowdhuri , Tirtha Banerjee

A three-layer asymptotic structure for turbulent pipe flow is proposed, revealing in terms of intermediate variables, the existence of a Reynolds-number invariant logarithmic region. It provides a theoretical foundation for addressing…

流体动力学 · 物理学 2021-07-01 Sourabh S. Diwan , Jonathan F. Morrison

Turbulent flows are strongly chaotic and unpredictable, with a Lyapunov exponent that increases with the Reynolds number. Here, we study the chaoticity of the Surface Quasi-geostrophic system, a two-dimensional model for geophysical flows…

流体动力学 · 物理学 2025-07-28 V. J. Valadão , F. De Lillo , S. Musacchio , G. Boffetta

We use a differential constitutive equation to model the flow of a viscoelastic flow in a cross-slot geometry, which is known to exhibit bistability above a critical flow rate. The novelty lies in two asymmetric modifications to the…

流体动力学 · 物理学 2018-02-19 Kristian Ejlebjerg Jensen , Peter Szabo , Fridolin Okkels

In wall-bounded flows, the laminar regime remain linearly stable up to large values of the Reynolds number while competing with nonlinear turbulent solutions issued from finite amplitude perturbations. The transition to turbulence of plane…

流体动力学 · 物理学 2019-04-09 Paul Manneville , Masaki Shimizu

The flow past a bullet-shaped blunt body moving in a pipe is investigated through global linear stability analysis (LSA) and direct numerical simulation (DNS). A cartography of the bifurcation curves is provided thanks to LSA, covering the…

流体动力学 · 物理学 2022-09-21 P. Bonnefis , D. Fabre , C. Airiau

Accurate prediction of the transition from laminar flow to turbulence remains an unresolved challenge despite its importance for understanding a variety of environmental, biological, and industrial phenomena. Well over a century of…

流体动力学 · 物理学 2023-01-10 John O. Dabiri , Nina Mohebbi , Matthew K. Fu

We present a macro-scale description of quasi-periodically developed flow in channels, which relies on double volume-averaging. We show that quasi-developed macro-scale flow is characterized by velocity modes which decay exponentially in…

流体动力学 · 物理学 2022-02-17 Geert Buckinx

We investigate the very onset of the inertial regime in the fluid flow at the pore level in a three-dimensional, disordered, highly porous media. We analyze the flow structure in a wide range of Reynolds numbers starting from 0.01 up to…

流体动力学 · 物理学 2024-09-25 Damian Sniezek , Sahrish B. Naqvi , Maciej Matyka

We report a theory deriving bulk flow scaling for canonical wall-bounded flows. The theory accounts for the symmetries of boundary geometry (flat plate channel versus circular pipe) by a variational calculation for a large-scale energy…

流体动力学 · 物理学 2016-09-21 Xi Chen , Fazle Hussain , Zhen-Su She

A parametric numerical study of three-dimensional instability of steady flows in a helical pipe of arbitrary curvature and torsion is carried out. The computations are performed by a numerical approach verified against independent…

流体动力学 · 物理学 2020-11-04 Alexander Gelfgat

We consider the influence of slip boundary conditions on the modal and non-modal stability of pressure-driven channel flows. In accordance with previous results by Gersting (1974) (Phys. Fluids, 17) but in contradiction with the recent…

流体动力学 · 物理学 2008-10-02 Eric Lauga , Carlo Cossu