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Flows in fluid layers are ubiquitous in industry, geophysics and astrophysics. Large-scale flows in thin layers can be considered two-dimensional (2d) with bottom friction added. Here we find that the properties of such flows depend…

Fluid Dynamics · Physics 2018-10-24 Gregory Falkovich , Natalia Vladimirova

We examine transient axial creeping flow in the annular gap between a rigid cylinder and a concentric elastic tube. The gap is initially filled with a thin fluid layer. The study focuses on viscous-elastic time-scales for which the rate of…

Fluid Dynamics · Physics 2016-11-03 Shai B. Elbaz , Amir D. Gat

A new Taylor-Couette system has been designed and constructed with precise temperature control. Two concentric independently rotating cylinders are able to rotate at maximum rates of $f_i = \pm20$ Hz for the inner cylinder and $f_o = \pm10$…

We study the stability of cylindrical Taylor-Couette flow in the presence of combined axial and azimuthal magnetic fields, and show that adding an azimuthal field profoundly alters the previous results for purely axial fields. For small…

Astrophysics · Physics 2009-11-13 R. Hollerbach , G. Ruediger

We derive the velocity profiles in strongly turbulent Taylor-Couette flow for the general case of independently rotating cylinders. The theory is based on the Navier-Stokes equations in the appropriate (cylinder) geometry. In particular, we…

Fluid Dynamics · Physics 2015-06-17 Siegfried Grossmann , Detlef Lohse , Chao Sun

We consider the wake flow past a thin two-dimensional flat plate normal to the uniform stream and demonstrate that this flow is turbulent already at a relatively low Reynolds number of $Re = 400$. This is achieved by performing a careful…

Fluid Dynamics · Physics 2026-01-27 Isaac T. Rosin , Melanie S. Chapman , Bartosz Protas , Robert J. Martinuzzi

It is shown that a channel flow of a dilute polymer solution between two widely spaced cylinders hindering the flow is an important paradigm of an unbounded flow in the case in which the channel wall is located sufficiently far from the…

Fluid Dynamics · Physics 2017-05-12 Atul Varshney , Victor Steinberg

Non-normal transient growth of disturbances is considered as an essential prerequisite for subcritical transition in shear flows, i.e. transition to turbulence despite linear stability of the laminar flow. In this work we present numerical…

Fluid Dynamics · Physics 2014-03-06 Simon Maretzke , Björn Hof , Marc Avila

Using time-series of stereoscopic particle image velocimetry data, we study the response of a turbulent von K\'{a}rm\'{a}n swirling flow to a continuous breaking of its forcing symmetry. Experiments are carried over a wide Reynolds number…

Statistical Mechanics · Physics 2012-05-22 P. -P. Cortet , E. Herbert , A. Chiffaudel , F. Daviaud , B. Dubrulle , V. Padilla

The inverse energy cascade in turbulent Taylor-Couette flow is studied in line with the results of the large eddy simulation. The simulation results show that the inverse energy cascade first occurs within the core region of the flow…

Fluid Dynamics · Physics 2026-04-13 Changquan Zhou , Hua-Shu Dou , Lin Niu , Wenqian Xu

The turbulent transport of angular momentum plays an important role in many astrophysical objects, but its modelization is still far from satisfactory. We discuss here what can be learned from laboratory experiments. We analyze the results…

Astrophysics · Physics 2007-05-23 Denis Richard , Jean-Paul Zahn

The main part of this contribution to the special issue of EJM-B/Fluids dedicated to Patrick Huerre outlines the problem of the subcritical transition to turbulence in wall-bounded flows in its historical perspective with emphasis on plane…

Fluid Dynamics · Physics 2015-06-19 Paul Manneville

We study a slightly rotating accretion flow onto a black hole, using the fully three dimensional (3-D)numerical simulations. We consider hydrodynamics of an inviscid flow, assuming a spherically symmetric density distribution at the outer…

High Energy Astrophysical Phenomena · Physics 2014-11-20 Agnieszka Janiuk , Maciej Sznajder , Monika Moscibrodzka , Daniel Proga

Sommerfeld paradox (turbulence paradox) roughly says that mathematically the Couette linear shear flow is linearly stable for all values of the Reynolds number, but experimentally transition from the linear shear to turbulence occurs under…

Analysis of PDEs · Mathematics 2011-07-20 Yueheng Lan , Y. Charles Li

We present numerical simulations of laminar and turbulent channel flow of an elastoviscoplastic fluid. The non-Newtonian flow is simulated by solving the full incompressible Navier-Stokes equations coupled with the evolution equation for…

Fluid Dynamics · Physics 2018-07-17 Marco Edoardo Rosti , Daulet Izbassarov , Outi Tammisola , Sarah Hormozi , Luca Brandt

The possibility that the magnetic shear-flow instability (MRI, Balbus-Hawley instability) might give rise to turbulence in a cylindric Couette flow is investigated through numerical simulations. The study is linear and the fluid flow is…

Astrophysics · Physics 2009-11-06 G. Rüdiger , Y. Zhang

Taylor-Couette flow with independently rotating inner (i) and outer (o) cylinders is explored numerically and experimentally to determine the effects of the radius ratio {\eta} on the system response. Numerical simulations reach Reynolds…

A numerical investigation of an asymptotically reduced model for quasi-geostrophic Rayleigh-B\'enard convection is conducted in which the depth-averaged flows are numerically suppressed by modifying the governing equations. The Reynolds…

Fluid Dynamics · Physics 2023-08-23 Tobias G. Oliver , Adrienne S. Jacobi , Keith Julien , Michael A. Calkins

We investigate the existence of multiple turbulent states in highly turbulent Taylor-Couette flow in the range of $\mathrm{Ta}=10^{11}$ to $9\cdot10^{12}$, by measuring the global torques and the local velocities while probing the phase…

This article presents direct numerical simulations of the growth of turbulent spots in the transitional regime of plane Couette flow. A quantitative description of the growth process and of the detail of the quadrupolar flow around the spot…

Fluid Dynamics · Physics 2014-01-16 Joran Rolland