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We investigate the fluctuations of thermodynamic state-variables in compressible aerodynamic wall-turbulence, using results of direct numerical simulation (DNS) of compressible turbulent plane channel flow. The basic transport equations…

Fluid Dynamics · Physics 2016-07-01 G. A. Gerolymos , I. Vallet

The normalized turbulent dissipation rate $C_\epsilon$ is studied in decaying and forced turbulence by direct numerical simulations, large-eddy simulations, and closure calculations. A large difference in the values of $C_\epsilon$ is…

Classical Physics · Physics 2007-12-18 Wouter J. T. Bos , L. Shao , Jean-Pierre Bertoglio

In this paper we present a complete framework for the energy-stable simulation of stratified incompressible flow in channels, using the one-dimensional two-fluid model. Building on earlier energy-conserving work on the basic two-fluid…

Fluid Dynamics · Physics 2023-10-24 J. F. H. Buist , B. Sanderse , S. Dubinkina , C. W. Oosterlee , R. A. W. M. Henkes

The statistical features of homogeneous, isotropic, two-dimensional stochastic turbulence are discussed. We derive some rigorous bounds for the mean value of the bulk energy dissipation rate $\mathbb{E} [\varepsilon ]$ and enstrophy…

Fluid Dynamics · Physics 2025-10-09 Anuj Kumar , Ali Pakzad

We show theoretically that the mean turbulent dynamics can be described by a kinetic theory representation with a single free relaxation time that depends on space and time. A proper kinetic equation is constructed from averaging the…

Fluid Dynamics · Physics 2024-01-31 Hudong Chen , Ilya Staroselsky , Katepalli R. Sreenivasan , V. Yakhot

The stability of stratified flows at locations in the Clyde, Irish and Celtic Seas on the UK Continental Shelf is examined. Flows are averaged over periods of 12-30 min in each hour, corresponding to the times taken to obtain reliable…

Atmospheric and Oceanic Physics · Physics 2016-03-23 Zhiyu Liu

We present numerical solutions to the extended Doering-Constantin variational principle for upper bounds on the energy dissipation rate in turbulent plane Couette flow. Using the compound matrix technique in order to reformulate this…

Soft Condensed Matter · Physics 2009-10-31 Rolf Nicodemus , Siegfried Grossmann , Martin Holthaus

The nonlinear transfer rate of the total energy (transfer rate of kinetic energy + transfer rate due to the work done by the magnetization) for an incompressible turbulent ferrofluid system is studied under the assumption of statistical…

Fluid Dynamics · Physics 2024-05-08 Sukhdev Mouraya , Nandita Pan , Supratik Banerjee

Based on the energy gradient method, criteria for turbulent transition are proposed for pressure driven flow and shear driven flow, respectively. For pressure driven flow, the necessary and sufficient condition for turbulent transition is…

Fluid Dynamics · Physics 2015-05-13 Hua-Shu Dou , Boo Cheong Khoo

We extend the Doering-Constantin approach to upper bounds on energy dissipation in turbulent flows by introducing a balance parameter into the variational principle. This parameter governs the relative weight of different contributions to…

Soft Condensed Matter · Physics 2009-10-31 Rolf Nicodemus , Siegfried Grossmann , Martin Holthaus

Following the idea that dissipation in turbulence at high Reynolds number is by events singular in space-time and described by solutions of the inviscid Euler equations, we draw the conclusion that in such flows scaling laws should depend…

Fluid Dynamics · Physics 2020-01-01 Yves Pomeau , Martine Le Berre

The objective of this study is to understand the dynamics of freely evolving particle suspensions over a wide range of particle-to-fluid density ratios. The dynamics of particle suspensions are characterized by the average momentum…

Fluid Dynamics · Physics 2021-10-29 Vahid Tavanashad , Alberto Passalacqua , Shankar Subramaniam

To elucidate the attenuation mechanism of wall-bounded turbulence due to heavy small particles, we conduct direct numerical simulations (DNS) of turbulent channel flow laden with finite-size solid particles. When particles cannot follow the…

Fluid Dynamics · Physics 2025-07-16 Yutaro Motoori , Susumu Goto

We study the Reynolds number scaling and the geometric self-similarity of a gain-based, low-rank approximation to turbulent channel flows, determined by the resolvent formulation of McKeon & Sharma (2010), in order to obtain a description…

Fluid Dynamics · Physics 2014-05-22 Rashad Moarref , Ati S. Sharma , Joel A. Tropp , Beverley J. McKeon

We propose a Navier-Stokes-driven analysis of the mean and fluctuating wall shear stress (WSS) applied to turbulent channel flow data from direct numerical simulations at friction Reynolds numbers up to $Re_\tau\approx 2000$. Starting from…

Fluid Dynamics · Physics 2026-02-05 Le Yin , Yongyun Hwang , John Christos Vassilicos

We present a simple stochastic quadrant model for calculating the transport and de- position of heavy particles in a fully developed turbulent boundary layer based on the statistics of wall-normal fluid velocity fluctuations obtained from a…

Fluid Dynamics · Physics 2016-08-02 C. Jin , I. Potts , M. W. Reeks

The flow of the laminar boundary layer on a flat plate is studied with simulation of Navier-Stokes equations. The mechanisms of flow instability at external edge of the boundary layer and near the wall are analyzed using the energy gradient…

Fluid Dynamics · Physics 2018-06-20 Hua-Shu Dou , Wenqian Xu , Boo Cheong Khoo

Dense particle suspensions are widely encountered in many applications and in environmental flows. While many previous studies investigate their rheological properties in laminar flows, little is known on the behaviour of these suspensions…

Fluid Dynamics · Physics 2015-10-15 F. Picano , W. -P. Breugem , L. Brandt

This study investigates how the deposit body influences friction characteristics by altering local flow fields, which is closely related to bed shear stress. Using generalized flume experiments, the study assesses the applicability of…

Fluid Dynamics · Physics 2026-01-14 Jing Zhang , Ruihan Qin , Zhixue Guo , Huantao Xu , Jiahui Zhou , Yun Bai

Upper bounds on the bulk energy dissipation rate $\epsilon$ and enstrophy dissipation rate $\chi$ are derived for the statistical steady state of body forced two dimensional turbulence in a periodic domain. For a broad class of externally…

Fluid Dynamics · Physics 2009-11-11 Alexandros Alexakis , Charles R. Doering
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