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Processing the data from a large variety of zero-pressure-gradient boundary layer flows shows that the Reynolds-number-dependent scaling law, which the present authors obtained earlier for pipes, gives an accurate description of the…

Numerical Analysis · Mathematics 2025-10-20 Grigory I. Barenblatt , Alexandre J. Chorin , V. M. Prostokishin

Suspended particles can significantly alter the fluid properties and, in particular, can modify the transition from laminar to turbulent flow. We investigate the effect of heavy particle suspensions on the linear stability of the Kolmogorov…

Fluid Dynamics · Physics 2023-06-22 Alessandro Sozza , Massimo Cencini , Stefano Musacchio , Guido Boffetta

We consider the ordering kinetics of a nonconserved scalar field advected by a uniform shear flow. Using the Ohta-Jasnow-Kawasaki approximation, modified to allow for shear-induced anisotropy, we calculate the asymptotic time dependence of…

Statistical Mechanics · Physics 2009-10-31 Alan J. Bray , Andrea Cavagna

We study Kolmogorov flow on a three dimensional, periodic domain with aspect ratios fixed to unity. Using an energy method, we give a concise proof of the linear stability of the laminar flow profile. Since turbulent motion is observed for…

Fluid Dynamics · Physics 2016-11-23 Lennaert van Veen , Susumu Goto

Recent experiments performed on a variety of soft glassy materials have demonstrated that any imposed shear flow serves to simultaneously fluidize these systems in all spatial directions [Ovarlez \textit{et al.} (2010)]. When probed with a…

Soft Condensed Matter · Physics 2012-02-27 T. F. F. Farage , J. M. Brader

In a turbulent boundary layer over a smooth flat plate with zero pressure gradient, the intermediate structure between the viscous sublayer and the free stream consists of two layers: one adjacent to the viscous sublayer and one adjacent to…

Numerical Analysis · Mathematics 2025-10-20 G. I. Barenblatt , A. J. Chorin , V. M. Prostokishin

We present first elements of an extension of Yakhot's model of strong turbulence towards small scales. The analysis is based on an empirically observed relation for even order structure functions which extends from the inertial into the…

Fluid Dynamics · Physics 2026-04-20 Christoph Renner

The multiscaling properties of the mixed Obukhov-Novikov shell model of turbulence are investigated numerically and compared with those of the complex GOY model, mostly studied in the recent years. Two types of generic singular fluctuations…

chao-dyn · Physics 2008-02-03 Thierry Dombre , Jean-Louis Gilson

We study a simple scalar constitutive equation for a shear-thickening material at zero Reynolds number, in which the shear stress \sigma is driven at a constant shear rate \dot\gamma and relaxes by two parallel decay processes: a nonlinear…

Soft Condensed Matter · Physics 2009-11-07 M. E. Cates , D. A. Head , A. Ajdari

We study the chaoticity and the predictability of a turbulent flow on the basis of high-resolution direct numerical simulations at different Reynolds numbers. We find that the Lyapunov exponent of turbulence, which measures the exponential…

Fluid Dynamics · Physics 2017-08-09 G. Boffetta , S. Musacchio

A reduced description of shear flows consistent with the Reynolds number scaling of lower-branch exact coherent states in plane Couette flow [J. Wang et al., Phys. Rev. Lett. 98, 204501 (2007)] is constructed. Exact time-independent…

Fluid Dynamics · Physics 2014-02-19 Cedric Beaume , Edgar Knobloch , Greg P. Chini , Keith Julien

Complex mixing and magnetic field generation occurs within stellar interiors particularly where there is a strong shear flow. To obtain a comprehensive understanding of these processes, it is necessary to study the complex dynamics of shear…

Solar and Stellar Astrophysics · Physics 2018-10-17 V. Witzke , L. J. Silvers , B. Favier

In this Part 2 we study further experimental properties of two-layer exchange flows in a stratified inclined duct (SID), which are turbulent, strongly-stratified, shear-driven, and continuously-forced. We analyse the same state-of-the-art…

Fluid Dynamics · Physics 2022-03-14 Adrien Lefauve , P. F. Linden

The main point of this communication is that there is a small non-negligible amount of eddies-outliers/very strong events (comprising a significant subset of the tails of the PDF of velocity increments in the nominally-defined inertial…

Fluid Dynamics · Physics 2015-05-13 M. Kholmyansky , A. Tsinober

Depending on the type of flow, the transition to turbulence can take one of two forms: either turbulence arises from a sequence of instabilities or from the spatial proliferation of transiently chaotic domains, a process analogous to…

Fluid Dynamics · Physics 2026-04-06 Bowen Yang , Yi Zhuang , Gökhan Yalnız , Vasudevan Mukund , Elena Marensi , Björn Hof

We present direct numerical simulations of the different two-dimensional flow regimes generated by a constant spatially periodic forcing balanced by viscous dissipation and large scale drag with a dimensionless damping rate $1/Rh$. The…

Fluid Dynamics · Physics 2015-06-11 Pankaj Kumar Mishra , Johann Herault , Stephan Fauve , Mahendra K. Verma

Chaotic variations in flow speed up mixing of scalar fields via intensified stirring. This paper addresses the statistical properties of a passive scalar field mixing in a regular shear flow with random fluctuations against its background.…

Fluid Dynamics · Physics 2023-09-27 Nikolay A. Ivchenko , Vladimir V. Lebedev , Sergey S. Vergeles

From a database of direct numerical simulations of homogeneous and isotropic turbulence, generated in periodic boxes of various sizes, we extract the spherically symmetric part of moments of velocity increments and first verify the…

Fluid Dynamics · Physics 2020-05-20 Kartik P. Iyer , Katepalli R. Sreenivasan , P. K. Yeung

Starting from the assumption that saturation of plasma turbulence driven by temperature-gradient instabilities in fusion plasmas is achieved by a local energy cascade between a long-wavelength outer scale, where energy is injected into the…

Plasma Physics · Physics 2025-10-23 P. G. Ivanov , T. Adkins , D. Kennedy , M. Giacomin , M. Barnes , A. A. Schekochihin

We study the steady plane shear flow of a dense assembly of frictional, inelastic disks using discrete simulation and prescribing the pressure and the shear rate. We show that, in the limit of rigid grains, the shear state is determined by…

Soft Condensed Matter · Physics 2009-11-11 Frederic da Cruz , Sacha Emam , Michael Prochnow , Jean-Noel Roux , Francois Chevoir
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