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A model-based description of the scaling and radial location of turbulent fluctuations in turbulent pipe flow is presented and used to illuminate the scaling behaviour of the very large scale motions. The model is derived by treating the…

Fluid Dynamics · Physics 2010-12-06 B. J. McKeon , A. S. Sharma

Plane Poiseuille flow shows turbulence at a Reynolds number that is lower than the critical one for the onset of Tollmien-Schlichting waves. The transition to turbulence follows the same route as the by-pass transition in boundary layers,…

Fluid Dynamics · Physics 2015-06-16 Stefan Zammert , Bruno Eckhardt

In this paper, we study the back flow of the two-dimensional unsteady Prandtl boundary layer under an adverse pressure gradient. The occurrence of back flow is an important physical event in the evolution of boundary layer, which eventually…

Analysis of PDEs · Mathematics 2019-08-27 Ya-Guang Wang , Shi-Yong Zhu

We study laminar, transitional and turbulent flow in wavy pipes using direct numerical simulations for bulk Reynolds numbers between 1-5300. Flow behaviors are analyzed in terms of the friction factor f and mean velocity statistics for…

Fluid Dynamics · Physics 2026-04-21 Ismail El Mellas , Juan J. Hidalgo , Marco Dentz

Turbulent Taylor-Couette flow between counter-rotating cylinders develops intermittently fluctuating boundary layers for sufficient counter-rotation. We demonstrate the phenomenon in direct numerical simulations for radius ratios \eta=0.5…

Fluid Dynamics · Physics 2015-06-11 Hannes J. Brauckmann , Bruno Eckhardt

Linear stability analysis currently fails to predict turbulence transition in canonical viscous flows. We show that two alternative models of the boundary condition for incipient perturbations at solid walls produce linear instabilities…

Fluid Dynamics · Physics 2024-07-11 John O. Dabiri , Anthony Leonard

We perform direct numerical simulations of rotating Rayleigh--B\'enard convection of fluids with low ($Pr=0.1$) and high ($Pr=5$) Prandtl numbers in a horizontally periodic layer with no-slip top and bottom boundaries. At both Prandtl…

The transition to turbulence in many shear flows proceeds along two competing routes, one linked with finite-amplitude disturbances and the other one originating from a linear instability, as in e.g. boundary layer flows. The dynamical…

Fluid Dynamics · Physics 2020-12-30 Miguel Beneitez , Yohann Duguet , Dan S. Henningson

We utilize the externally forced linearized Navier-Stokes equations to study the receptivity of pre-transitional boundary layers to persistent sources of stochastic excitation. Stochastic forcing is used to model the effect of free-stream…

Fluid Dynamics · Physics 2019-09-09 Wei Ran , Armin Zare , M. J. Philipp Hack , Mihailo R. Jovanović

We discuss a simple analytical model of the turbulent boundary layer (TBL) over flat plane. The model offers an analytical description of the profiles of mean velocity and turbulent activity in the entire boundary region, from the viscous…

Chaotic Dynamics · Physics 2007-05-23 Victor S. L'vov , Anna Pomyalov , Vasil Tiberkevich

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

The phenomenon of relaminarization is observed in many flow situations, including that of an initially turbulent boundary layer subjected to strong favourable pressure gradients. Available turbulence models have hitherto been unsuccessful…

Fluid Dynamics · Physics 2017-01-30 Rajesh Ranjan , Roddam Narasimha

Direct numerical simulation of the Navier-Stokes equations is carried out to investigate the interaction of a conical shock wave with a turbulent boundary layer developing over a flat plate at free-stream Mach number $M_\infty = 2.05$ and…

Fluid Dynamics · Physics 2019-10-02 Feng-Yuan Zuo , Antonio Memmolo , Guo-ping Huang , Sergio Pirozzoli

The flow properties at the leading edge of a flat plate represent a singularity to the Blasius laminar boundary layer equations; by applying the Lagrangian approach the leading edge velocity profiles of the laminar boundary layer over a…

Fluid Dynamics · Physics 2016-11-08 Mohammad Gabr

The planar problem of a viscous laminar flow around elliptical cylinders under angle of attack is considered. From the solution of the laminar boundary layer equations using the Loytsyansky local similarity method, the shear stress at the…

Fluid Dynamics · Physics 2021-06-29 Alexander G. Petrov , Artem D. Sukhov

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…

Mathematical Physics · Physics 2009-11-07 G. I. Barenblatt , A. J. Chorin , V. M. Prostokishin

A system of simplified equations is proposed to govern the feedback interactions of large-scale flows present in laminar-turbulent patterns of transitional wall-bounded flows, with small-scale Reynolds stresses generated by the…

Fluid Dynamics · Physics 2015-04-03 Paul Manneville

The effects of global flow rotation and curvature on the subcritical transition to turbulence in shear flows are examined. The relevant time-scales of the problem are identified by a decomposition of the flow into a laminar and a deviation…

Fluid Dynamics · Physics 2007-05-23 P-Y. Longaretti , O. Dauchot

Many transitional wall-bounded shear flows are characterised by the coexistence in state-space of laminar and turbulent regimes. Probing the edge boundary between the two attractors has led in the last decade to the numerical discovery of…

Fluid Dynamics · Physics 2017-10-20 Ashley P. Willis , Yohann Duguet , Oleh Omel'chenko , Matthias Wolfrum

An experiment was performed using Dual-plane-SPIV in the LMFL boundary layer facility to determine all of the derivative moments needed to estimate the average dissipation rate of the turbulent kinetic energy, $\varepsilon$, and its…