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Recent studies have brought into question the view that at sufficiently high Reynolds number turbulence is an asymptotic state. We present the first direct observation of the decay of turbulent states in Taylor-Couette flow with lifetimes…

Fluid Dynamics · Physics 2010-02-19 Daniel Borrero-Echeverry , Randall Tagg , Michael F. Schatz

A zonal similarity analysis of friction factors in pipe flow of power law fluids is presented. It uses the critical Reynolds number and friction factor at transition as estimates of the normalised velocity and distance between the wall and…

Fluid Dynamics · Physics 2010-07-16 Khanh Tuoc Trinh

The dynamical behavior of propagating structures, determined from a Karhunen-Lo`eve decomposition, in turbulent pipe flow undergoing reverse transition to laminar flow is investigated. The turbulent flow data is generated by a direct…

Fluid Dynamics · Physics 2009-09-29 A. Duggleby , K. S. Ball , M. R. Paul

In this work, we study the flow in curved channels, an archetypal configuration that allows insights into problems featuring turbulence bounded by curved walls. Besides its relevance to many engineering applications, it exhibits a rich…

Fluid Dynamics · Physics 2025-03-19 Giulio Soldati , Paolo Orlandi , Sergio Pirozzoli

We study the laminar and turbulent channel flow over a viscous hyper-elastic wall and show that it is possible to sustain an unsteady chaotic turbulent-like flow at any Reynolds number by properly choosing the wall elastic modulus. We…

Fluid Dynamics · Physics 2020-08-05 Marco E Rosti , Luca Brandt

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

We show possibility of the Plane Couette (PC) flow instability for Reynolds number Re>Reth=140. This new result of the linear hydrodynamic stability theory is obtained on the base of refusal from the traditionally used assumption on…

Fluid Dynamics · Physics 2016-07-20 Sergey G. Chefranov , Alexander G. Chefranov

In this paper we argue that differential rotation can possibly sustain hydrodynamic turbulence in the absence of magnetic field. We explain why the non-linearities of the hydrodynamic equations (i.e. turbulent diffusion) should not be…

Astrophysics · Physics 2009-11-10 D. T. Richard

This paper is on the effect of nonlinearity in the equations for propagation of disturbances on transition in the class of Spiral Poiseuille Flows. The problem is approached from the fundamental point of view of following the growth of…

Fluid Dynamics · Physics 2024-05-28 Venkatesa Iyengar Vasanta Ram

Iterative coarse-graining procedure based on Wyld's perturbation expansion is applied to the problem of Navier-Stokes turbulence. It is shown that the low-order calculation gives the fixed-point Reynolds number $ Re_{fp}$ (coupling…

Fluid Dynamics · Physics 2013-08-21 Victor Yakhot

The definitions of temporal instability and of spatial instability in a flow system are comparatively surveyed. The simple model of one-dimensional Burgers' flow is taken as the scenario where such different conceptions of instability are…

Fluid Dynamics · Physics 2023-10-04 Antonio Barletta

This paper numerically investigates the instability characteristics of decelerating flows. The flow dynamics and temporal evolution of coherent structures in a diverging section with mild spatial pressure gradient are analyzed using…

Fluid Dynamics · Physics 2023-05-30 Ahire Swapnil Ashok , Manu K.

For low enough flow rates, turbulent channel flow displays spatial modulations of large wavelengths. This phenomenon has recently been interpreted as a linear instability of the turbulent flow. We question here the ability of linear…

Fluid Dynamics · Physics 2024-06-21 P. V. Kashyap , Y. Duguet , O. Dauchot

We consider the stability of two-dimensional viscous flows in an annulus with permeable boundary. In the basic flow, the velocity has nonzero azimuthal and radial components, and the direction of the radial flow can be from the inner…

Fluid Dynamics · Physics 2022-08-10 Konstantin Ilin , Andrey Morgulis

The laminar flow past rectangular prisms is studied in the space of length-to-height ratio ($1 \le L/H \le 5$), width-to-height ratio ($1.2 \le W/H \le 5$) and Reynolds number ($Re \lessapprox 700$). The primary bifurcation is investigated…

Fluid Dynamics · Physics 2025-04-09 Alessandro Chiarini , Edouard Boujo

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…

Fluid Dynamics · Physics 2022-09-21 P. Bonnefis , D. Fabre , C. Airiau

Using the Lagrangian transport of momentum, the Reynolds stress can be expressed in terms of basic turbulence parameters. The Reynolds stress gradient represents the lateral transport of stream-wise momentum, balanced by the u2 transport,…

Fluid Dynamics · Physics 2019-12-11 T. -W. Lee

The Moody diagram, a plot of friction factor versus flow rate, is a well-known engineering tool for estimating head loss in pipe flows. It comprises well-defined relationships between friction factor and flow rate over the majority of…

Fluid Dynamics · Physics 2024-10-21 Rory T. Cerbus , Tom Mullin

Transition to turbulence in straight pipes occurs in spite of the linear stability of the laminar Hagen--Poiseuille flow if the amplitude of flow perturbations as well as the Reynolds number exceed a minimum threshold (subcritical…

Fluid Dynamics · Physics 2015-08-27 J. Kühnen , P. Braunshier , M. Schwegel , H. Kuhlmann , B. Hof

Laminar as well as turbulent oscillatory pipe flows occur in many fields of biomedical science and engineering. Pulmonary air flow and vascular blood flow are usually laminar, because shear forces acting on the physiological system ought to…

Fluid Dynamics · Physics 2020-01-31 Claus Wagner , Daniel Feldmann