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The energy gradient theory is used to study the instability of Taylor-Couette flow between concentric rotating cylinders. This theory has been proposed in our previous works. In our previous studies, the energy gradient theory was…

流体动力学 · 物理学 2010-07-13 Hua-Shu Dou , Boo Cheong Khoo , Koon Seng Yeo

The stability of a two-dimensional viscous flow between two rotating porous cylinders is studied. The basic steady flow is the most general rotationally-invariant solution of the Navier-Stokes equations in which the velocity has both radial…

流体动力学 · 物理学 2015-06-18 Konstantin Ilin , Andrey Morgulis

Flow instability and turbulent transition can be well explained using a new proposed theory--Energy gradient theory [1]. In this theory, the stability of a flow depends on the relative magnitude of energy gradient in streamwise direction…

流体动力学 · 物理学 2007-05-23 Hua-Shu Dou

Despite the nonlinear nature of wall turbulence, there is evidence that the energy-injection mechanisms sustaining wall turbulence can be ascribed to linear processes. The different scenarios stem from linear stability theory and comprise…

We study the flow dynamics inside a high-speed rotating cylinder after introducing strong symmetry-breaking disturbance factors at cylinder wall motion. We propose and formulate a mathematically robust stochastic model for the rotational…

流体动力学 · 物理学 2021-03-04 Ali Akhavan-Safaei , S. Hadi Seyedi , Mohsen Zayernouri

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…

流体动力学 · 物理学 2018-06-20 Hua-Shu Dou , Wenqian Xu , Boo Cheong Khoo

Flow around two rotating side-by-side circular cylinders of equal diameter D is numerically studied at the Reynolds number Re=40-200 and various rotation rate theta_i. The incoming flow is assumed to be two-dimensional laminar flow. The…

流体动力学 · 物理学 2019-02-13 Hua-Shu Dou , Shuo Zhang , Hui Yang , Toshiaki Setoguchi , Yoichi Kinoue

This paper presents results of two-dimensional direct numerical simulations (DNS) and global linear stability analyses (based on mean flow and base flow) of a viscous incompressible flow past a circular array of cylinders with six-fold…

流体动力学 · 物理学 2026-04-01 Huaibao Zhang , Yongliang Yang , Guangxue Wang , Mengqi Zhang

In this paper, the physics of flow instability and turbulent transition in shear flows is studied by analyzing the energy variation of fluid particles under the interaction of base flow with a disturbance. For the first time, a model…

流体动力学 · 物理学 2018-06-20 Hua-Shu Dou

The design of flow control systems remains a challenge due to the nonlinear nature of the equations that govern fluid flow. However, recent advances in computational fluid dynamics (CFD) have enabled the simulation of complex fluid flows…

计算工程、金融与科学 · 计算机科学 2018-11-13 Jeremy Morton , Freddie D. Witherden , Antony Jameson , Mykel J. Kochenderfer

We study flow around a cylinder from a dynamics perspective, using drag and lift as indicators. We observe that the mean drag coefficient bifurcates from the steady case when the Karman vortex street emerges. We also find a jump in the…

数值分析 · 数学 2023-11-15 L. Ridgway Scott , Rebecca Durst

This work is concerned with the numerical investigation of the dynamics of stopping vortex formation in the uniform flow past a wedge mounted on a wall for channel Reynolds number $Re_c=1560$. The streamfunction-vorticity ($\psi$-$\omega$)…

流体动力学 · 物理学 2024-05-06 Jiten C Kalita

Numerical schemes derived from gas-kinetic theory can be applied to simulations in the hydrodynamics limit, in laminar and also turbulent regimes. In the latter case, the underlying Boltzmann equation describes a distribution of eddies, in…

流体动力学 · 物理学 2015-06-11 Marcello Righi

A new formulation of the Navier-Stokes equation, in terms of the gradient of the total mechanical energy, is derived for the time-averaged flows, and the singular point possibly existing in the Navier-Stokes equation is exactly found.…

流体动力学 · 物理学 2014-12-30 Hua-Shu Dou

A model of fully developed turbulence of a compressible fluid is briefly reviewed. It is assumed that fluid dynamics is governed by a stochastic version of Navier-Stokes equation. We show how corresponding field theoretic-model can be…

统计力学 · 物理学 2018-10-09 M. Hnatič , N. M. Gulitskiy , T. Lučivjanský , L. Mižišin , V. Škultéty

Instabilities of fluid flows often generate turbulence. Using extensive direct numerical simulations, we study two-dimensional turbulence driven by a wavenumber-localised instability superposed on stochastic forcing, in contrast to previous…

流体动力学 · 物理学 2022-12-14 Adrian van Kan , Benjamin Favier , Keith Julien , Edgar Knobloch

The majority of practical flows, particularly those flows in applications of importance to transport, distribution and climate, are turbulent and as a result experience complex three-dimensional motion with increased drag compared with the…

流体动力学 · 物理学 2015-03-17 B. J. McKeon , A. S. Sharma , I. Jacobi

Numerous studies in the past 40 years have established that turbulent flow fields are populated by transient coherent structures that represent patches of fluids moving cohesively for significant distances before they are worn out by…

流体动力学 · 物理学 2010-07-06 K. T. Trinh

The subject of this work is the instability mechanism of simple shear flows, like Hagen-Poiseuille pipe flow, which is a long-standing problem in fluid mechanics [1,2]. A possible analogy with phenomenological theory of ideal plasticity in…

流体动力学 · 物理学 2007-05-23 Sergey Ananiev

A new universal theory for flow instability and turbulent transition is proposed in this study. Flow instability and turbulence transition have been challenging subjects for fluid dynamics for a century. The critical condition of turbulent…

混沌动力学 · 物理学 2009-09-29 Hua-Shu Dou
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