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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

Turbulent boundary layers exhibit a universal structure which nevertheless is rather complex, being composed of a viscous sub-layer, a buffer zone, and a turbulent log-law region. In this letter we present a simple analytic model of…

混沌动力学 · 物理学 2007-05-23 Victor S. L'vov , Itamar Procaccia , Oleksii Rudenko

The Karman constant \kappa - widely used in atmospheric science and engineering turbulence modelling, and proposed by Prandtl in 1925 and von Karman in 1930 to describe the mean velocity of a turbulent wall-bounded flow - leads to a…

流体动力学 · 物理学 2012-01-04 Zhen-Su She , Xi Chen , You Wu , Fazle Hussain

We provide direct measurements of the boundary layer properties in highly turbulent Taylor-Couette flow up to $\text{Ta}=6.2 \times 10^{12}$ using high-resolution particle image velocimetry (PIV). We find that the mean azimuthal velocity…

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 critical velocity v_c for the onset of quantum turbulence in oscillatory flows of superfluid helium is universal and scales as v_c \sim \sqrt{\kappa\omega}, where \kappa is the circulation quantum and \omega is the oscillation…

其他凝聚态物理 · 物理学 2010-01-07 R. Hänninen , W. Schoepe

This fluid dynamics video submitted to the Gallery of Fluid motion shows a turbulent boundary layer developing under a 5 metre-long flat plate towed through water. A stationary imaging system provides a unique view of the developing…

流体动力学 · 物理学 2012-10-16 J. H. Lee , Y. S. Kwon , N. Hutchins , J. P. Monty

This work analyzes the turbulent velocity distribution in proximity of the wall using the finite-scale Lyapunov theory just presented in previous works. This theory is here applied to the steady boundary layer under the hypothesis of…

流体动力学 · 物理学 2012-10-03 Nicola de Divitiis

A composite representation of the turbulent boundary-layer velocity profile is proposed, which combines a recently determined accurate interpolation of the universal law of the wall with a simple analytical expression of the smooth…

流体动力学 · 物理学 2017-09-05 Paolo Luchini

The modeling of surface pressure wave number spectra beneath a turbulent boundary layer is reviewed and reconsidered in terms of the vorticity in the flow. Using a solution based on the vorticity equation and Squires theorem, which was…

流体动力学 · 物理学 2022-08-11 Stewart Glegg , Siddhartha Verma , Lyubov Denissova

The complex interaction between turbulence and the free surface in boundary layer shear flow created by a vertical surface-piercing wall is considered. A laboratory-scale device was built that utilizes a surface-piercing stainless steel…

流体动力学 · 物理学 2017-03-29 Nathan Washuta , Naeem Masnadi , James H. Duncan

According to a model of the turbulent boundary layer proposed by the authors, in the absence of external turbulence the intermediate region between the viscous sublayer and the external flow consists of two sharply separated self-similar…

数学物理 · 物理学 2009-11-07 G. I. Barenblatt , A. J. Chorin , V. M. Prostokishin

The classical scaling theory of turbulent parallel flow provides a framework for the description of the mean velocity profile through two functions of one variable, traditionally named law of the wall and law of the wake, and a universal…

流体动力学 · 物理学 2018-05-09 Paolo Luchini

This paper reports turbulent boundary layer measurements made over open-cell reticulated foams with varying pore size and thickness, but constant porosity ($\epsilon \approx 0.97$). The foams were flush-mounted into a cutout on a flat…

流体动力学 · 物理学 2018-03-14 Christoph Efstathiou , Mitul Luhar

A new wall-wake law is proposed for the streamwise turbulence in the outer region of a turbulent boundary layer. The formulation pairs the logarithmic part of the profile (with a slope A_1 and additive constant B_1) to an outer linear part,…

流体动力学 · 物理学 2024-11-20 Alexander J. Smits

Recent experimental and computational studies indicate that near wall turbulent flows can be characterized by universal small scale autonomous dynamics that are modulated by large scale structures. We formulate numerical simulations of near…

流体动力学 · 物理学 2021-01-21 Sean P. Carney , Björn Engquist , Robert D. Moser

A uniform representation of the mean turbulent velocity profile in the sum of a wall function and a wake function is applied to an open channel, quantitatively determining its components. The open channel is thus found to coherently fit in…

流体动力学 · 物理学 2024-01-26 Paolo Luchini

A direct numerical simulation of incompressible channel flow at $Re_\tau$ = 5186 has been performed, and the flow exhibits a number of the characteristics of high Reynolds number wall-bounded turbulent flows. For example, a region where the…

流体动力学 · 物理学 2023-07-19 Myoungkyu Lee , Robert D. Moser

Turbulent flows over canopies of rigid filaments with different densities, $\lambda_f$, are studied using direct simulations at Reynolds numbers $Re_\tau\approx550-1000$. The canopies have heights $h^+\approx110-220$, and are an instance of…

流体动力学 · 物理学 2024-12-18 Zishen Chen , Ricardo García-Mayoral

This paper proposes a simple new closure principle for turbulent shear flows. The turbulent flow field is divided into an outer and an inner region. The inner region is made up of a log-law region and a wall layer. The wall layer is viewed…

流体动力学 · 物理学 2010-01-15 Trinh Khanh Tuoc
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