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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

Several experimental and numerical studies have shown that turbulent motions in circular pipe flow near transitional Reynolds numbers may not persist forever, but may decay. We study the properties of these decaying states within direct…

Fluid Dynamics · Physics 2009-11-13 Tobias M. Schneider , Bruno Eckhardt

The laminar-turbulent transition in the circular pipe flow has been tested experimentally. The critical Reynolds numbers for the flows of different gases (He, Ne, Ar, Kr, Xe, N2, CO2, SF6) and liquids (H2O, D2O, C2H5OH) have been compared.…

Fluid Dynamics · Physics 2009-11-07 Sergey Novopashin , Amador Muriel

Turbulence modulation by inertial-range-size, neutrally-buoyant particles is investigated experimentally in a von K\'arm\'an flow. Increasing the particle volume fraction $\Phi_\mathrm{v}$, maintaining constant impellers Reynolds number…

Fluid Dynamics · Physics 2015-01-06 Mamadou Cisse , Ewe Wei Saw , Mathieu Gibert , Eberhard Bodenschatz , Jeremie Bec

Pipe flow and many other shear flows show a transition to turbulence at flow rates for which the laminar profile is stable against infinitesimal perturbations. In this brief review the recent progress in the understanding of this transition…

Fluid Dynamics · Physics 2018-06-13 Bruno Eckhardt

The elementary structures of turbulence, i.e., vortex tubes, are studied using velocity data obtained in laboratory experiments for boundary layers and duct flows at microscale Reynolds numbers 332-1934. While past experimental studies…

Fluid Dynamics · Physics 2009-11-13 H. Mouri , A. Hori

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…

Fluid Dynamics · Physics 2020-11-04 Alexander Gelfgat

The flow structure of strongly turbulent Taylor-Couette flow with Reynolds numbers up to Re_i = 2*10^6 of the inner cylinder is experimentally examined with high-speed particle image velocimetry (PIV). The wind Reynolds numbers Re_w of the…

Relaminarization of wall-bounded turbulent flows by means of external static magnetic fields is a long-known phenomenon in the physics of electrically conducting fluids at low magnetic Reynolds numbers. Despite the large literature on the…

Fluid Dynamics · Physics 2020-05-06 L. Moriconi

We study streamwise turbulence intensity definitions using smooth- and rough-wall pipe flow measurements made in the Princeton Superpipe. Scaling of turbulence intensity with the bulk (and friction) Reynolds number is provided for the…

Fluid Dynamics · Physics 2019-11-15 Nils T. Basse

A family of three-dimensional travelling waves for flow through a pipe of circular cross section is identified. The travelling waves are dominated by pairs of downstream vortices and streaks. They originate in saddle-node bifurcations at…

Chaotic Dynamics · Physics 2009-11-10 H. Faisst , B. Eckhardt

Following the recent observation that turbulent pipe flow can be relaminarised by a relatively simple modification of the mean velocity profile, we here carry out a quantitative experimental investigation of this phenomenon. Our study…

Fluid Dynamics · Physics 2019-05-01 Davide Scarselli , Jakob Kühnen , Björn Hof

Previous analysis of a Paris turbulence experiment \cite{zoc94,tab95} shows a transition at the Taylor Reynolds number $\rel \approx 700$. Here correlation function data is analyzed which gives further evidence for this transition. It is…

chao-dyn · Physics 2009-10-28 V. Emsellem , L. Kadanoff , D. Lohse , P. Tabeling , J. Wang

Wall-bounded flows experience a transition to turbulence characterized by the coexistence of laminar and turbulent domains in some range of Reynolds number R, the natural control parameter. This transitional regime takes place between an…

Fluid Dynamics · Physics 2017-07-03 Paul Manneville

In the linear theory of hydrodynamic stability up to now there exist examples of flows for which there is full quantitative distinction, as for cylindrical Hagen-Poiseuille (HP) flow in a pipe with round section, between theory conclusions…

Fluid Dynamics · Physics 2025-02-04 Sergey G. Chefranov , Alexander G. Chefranov

The transition to turbulence in a plane Poiseuille flow of dilute polymer solutions is studied by direct numerical simulations of a FENE-P fluid. A range of Reynolds number ($Re$) in $2000 \le Re \le 5000$ is studied but with the same level…

Fluid Dynamics · Physics 2023-11-07 Alexia Martinez Ibarra , Jae Sung Park

Turbulent motions in a fluid relax at a certain rate once stirring has stopped. The role of the most basic parameter in fluid mechanics, the Reynolds number, in setting the relaxation rate is not generally known. This paper concerns the…

Fluid Dynamics · Physics 2015-06-22 Michael Sinhuber , Eberhard Bodenschatz , Gregory P. Bewley

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

Experimental and numerical studies of incompressible turbulence suggest that the mean dissipation rate of kinetic energy remains constant as the Reynolds number tends to infinity (or the non-dimensional viscosity tends to zero). This…

Fluid Dynamics · Physics 2025-04-21 Kartik P. Iyer , Theodore D. Drivas , Gregory L. Eyink , Katepalli R. Sreenivasan

Lower-branch traveling waves and equilibria computed in pipe flow and other shear flows appear intermediate between turbulent and laminar motions. We take a step towards connecting these lower-branch solutions to transition by deriving a…

Fluid Dynamics · Physics 2015-05-13 D. Viswanath , P. Cvitanovic