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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…

Fluid Dynamics · Physics 2021-07-01 Sourabh S. Diwan , Jonathan F. Morrison

The effect of the variations of the permeability tensor on the close-to-the-wall behaviour of a turbulent channel flow bounded by porous walls is explored using a set of direct numerical simulations. It is found that the total drag can be…

Fluid Dynamics · Physics 2018-02-05 Marco Edoardo Rosti , Luca Brandt , Alfredo Pinelli

The identification of stream in the straight pipe as a flexible rod has allowed to present the criterion expression for determination of transition of the laminar flow regime to the turbulent as a loss of stability of the rectilinear static…

Fluid Dynamics · Physics 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik

We study the global, i.e. radially averaged, high Reynolds number (asymptotic) scaling of streamwise turbulence intensity squared defined as ${I^2=\overline{u^2}/U^2}$, where $u$ and $U$ are the fluctuating and mean velocities, respectively…

Fluid Dynamics · Physics 2021-06-29 Nils T. Basse

Contrasting with free shear flows presenting velocity profiles with inflection points which cascade to turbulence in a relatively mild way, wall bounded flows are deprived of (inertial) instability modes at low Reynolds numbers and become…

Fluid Dynamics · Physics 2009-11-13 Paul Manneville

The swirling secondary flow in curved pipes is studied in three-space dimensions using a weakly compressible Smoothed Particle Hydrodynamics (WCSPH) formulation coupled to new non-reflecting outflow boundary conditions. A large-eddy…

A modified Reynolds equation governing the steady flow of a fluid with low Reynolds number through a curvilinear, narrow tube, with its derivation from Stokes equations through asymptotic methods is presented. The channel considered may…

Mathematical Physics · Physics 2019-01-08 Arpan Ghosh , Vladimir Kozlov , Sergey Nazarov

Transitional pipe flow is modeled as a one-dimensional excitable and bistable medium. Models are presented in two variables, turbulence intensity and mean shear, that evolve according to established properties of transitional turbulence. A…

Fluid Dynamics · Physics 2015-03-17 Dwight Barkley

Turbulence intensity profiles are compared for smooth- and rough-wall pipe flow measurements made in the Princeton Superpipe. The profile development in the transition from hydraulically smooth to fully rough flow displays a propagating…

Fluid Dynamics · Physics 2017-06-13 Nils T. Basse

Abrupt transition to turbulence may occur in pipe and channel flows at moderate flow rates, an unexpected event according to linear stability theory, and has been an open problem in fluid dynamics for more than a century. Extensive…

Fluid Dynamics · Physics 2017-10-09 Jianjun Tao , Xiangming Xiong

The majority of practical flows, particularly those flows in applications of importance to transport, distribution and climate, are turbulent and as a result experience complex three-dimensional motion with increased drag compared with the…

Fluid Dynamics · Physics 2015-03-17 B. J. McKeon , A. S. Sharma , I. Jacobi

Well-resolved direct numerical simulations (DNSs) have been performed of the flow in a smooth circular pipe of radius $R$ and axial length $10\pi R$ at friction Reynolds numbers up to $Re_\tau=5200$. Various turbulence statistics are…

Fluid Dynamics · Physics 2023-02-15 Jie Yao , Saleh Rezaeiravesh , Philipp Schlatter , Fazle Hussain

Wall-pressure fluctuations are a practically robust input for real-time control systems aimed at modifying wall-bounded turbulence. The scaling behaviour of the wall-pressure--velocity coupling requires investigation to properly design a…

Fluid Dynamics · Physics 2024-01-11 Woutijn J. Baars , Giulio Dacome , Myoungkyu Lee

A central obstacle to understanding the route to turbulence in wall-bounded flows is that the flows are composed of complex, highly fluctuating, and strongly nonlinear states. In the case of pipe flow, models have deepened our understanding…

Fluid Dynamics · Physics 2026-02-24 Santiago J. Benavides , Dwight Barkley

We investigate experimentally the influence of suspended particles on the transition to turbulence. The particles are monodisperse and neutrally-buoyant with the liquid. The role of the particles on the transition depends both upon the pipe…

Fluid Dynamics · Physics 2009-11-10 Jean-Philippe Matas , Jeffrey F. Morris , Elisabeth Guazzelli

Studies of the relation between the shear parameter S^* and the Reynolds number Re are presented for a nearly homogeneous and statistically stationary turbulent shear flow. The parametric investigations are in line with a generalized…

Chaotic Dynamics · Physics 2009-11-10 Joerg Schumacher

The transitional regime of plane channel flow is investigated {above} the transitional point below which turbulence is not sustained, using direct numerical simulation in large domains. Statistics of laminar-turbulent spatio-temporal…

Fluid Dynamics · Physics 2020-09-16 Pavan V. Kashyap , Yohann Duguet , Olivier Dauchot

This paper presents an experimental investigation of the perturbation of a turbulent closed-conduit flow by two-dimensional triangular ripples. Two ripple configurations were employed: one single asymmetric triangular ripple, and two…

We consider incompressible flows between two transversely vibrating solid walls and construct an asymptotic expansion of solutions of the Navier-Stokes equations in the limit when both the amplitude of vibrations and the thickness of the…

Fluid Dynamics · Physics 2011-08-16 Konstantin Ilin , Andrey Morgulis

We study compressible turbulent flow in a circular pipe, at computationally high Reynolds number. Classical related issues are addressed and discussed in light of the DNS data, including validity of compressibility transformations,…

Fluid Dynamics · Physics 2018-10-10 Davide Modesti , Sergio Pirozzoli