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The hydrodynamic equation derived by N-particle statistical mechanics is investigated. This is an attempt to provide additional information concerning the closure problem of turbulence theory. The equation is interpreted as mean velocity…

General Physics · Physics 2017-09-22 Juergen Piest

The present work demonstrates the use of resolvent analysis to obtain physical insights for open-cavity flows. Resolvent analysis identifies the flow response to harmonic forcing, given a steady base state, in terms of the response and…

Fluid Dynamics · Physics 2019-09-16 Yiyang Sun , Qiong Liu , Louis N. Cattafesta , Lawrence S. Ukeiley , Kunihiko Taira

This paper is divided in two parts. In the first part, a brief review of a spectral element method for the numerical solution of the incompressible Navier-Stokes equations is given. The method is then extended to compute buoyant flows…

Computational Physics · Physics 2007-05-23 Thor Gjesdal , Carl Erik Wasberg , Oyvind Andreassen

The incompressible flow around a circular cylinder, positioned at the center of an unconfined planar counterflow, is studied by means of numerical solutions of the conservation equations and linear stability analysis. The flow is completely…

The flow past a fixed finite-length circular cylinder, the axis of which makes a nonzero angle with the incoming stream, is studied through fully-resolved simulations, from creeping-flow conditions to strongly inertial regimes. The…

Fluid Dynamics · Physics 2021-04-28 Mohammed Kharrouba , Jean-Lou Pierson , Jacques Magnaudet

Flow structure stability of a steady radial thermocapillary flow from the local heat source in cylindrical geometry has been studied numerically. The up boundary of the liquid was partially covered by the stationary film of an insoluble…

Fluid Dynamics · Physics 2021-08-04 V. A. Demin , M. I. Petukhov , A. I. Shmyrova

Flow-reaction forces acting in hydraulic valves have been studied for many decades. Despite this, they are difficult to account for due to the complexities of the jet flow. This paper focuses only on the reduction, also referred to as…

Fluid Dynamics · Physics 2015-04-29 Jan Lugowski

Direct numerical simulations of turbulent open channel flow with friction Reynolds numbers of $Re_{\tau}=200,400,600$ are performed. Their results are compared with closed channel data in order to investigate the influence of the free…

Fluid Dynamics · Physics 2022-12-02 Christian Bauer

A laminar flow of a thin layer of mud down an inclined plane under the action of gravity is considered. The instability of a film flow and the formation of finite amplitude waves are studied in the framework of both two-dimensional…

Fluid Dynamics · Physics 2021-03-01 Alexander Chesnokov

We report an experimental and numerical study of turbulent fluid motion in a free surface. The flow is realized experimentally on the surface of a tank filled with water stirred by a vertically oscillating grid positioned well below the…

Chaotic Dynamics · Physics 2009-10-31 W. I. Goldburg , J. R. Cressman , Z. Voros , B. Eckhardt , J. Schumacher

We theoretically derive the amplitude equations for a self-propelled droplet driven by Marangoni flow. As advective flow driven by surface tension gradient is enhanced, the stationary state becomes unstable and the droplet starts to move.…

Soft Condensed Matter · Physics 2015-06-05 Natsuhiko Yoshinaga , Ken H. Nagai , Yutaka Sumino , Hiroyuki Kitahata

This paper defines a parabolic frequency for solutions of the heat equation on a Ricci flow and proves it's monotonicity along the flow. Frequency monotonicity is known to have many useful consequences; here it is shown to provide a simple…

Differential Geometry · Mathematics 2022-08-01 Julius Baldauf , Dain Kim

This study numerically examines the steady unconfined laminar flow of incompressible non-Newtonian power-law fluids past a pair of side-by-side counter-rotating circular cylinders using the finite element method. The cylinders…

Fluid Dynamics · Physics 2026-05-28 Lekhraj Malviya , Ram Prakash Bharti , Abhishek Kumar Lal

In a variety of physical situations, a bulk viscous flow is induced by a distribution of surface velocities, for example in diffusiophoresis (as a result of chemical gradients) and above carpets of cilia (as a result of biological…

Fluid Dynamics · Physics 2016-09-13 Sebastien Michelin , Eric Lauga

The selective frequency damping method was applied to a bent flow. The method was used in an adaptive formulation. The most dangerous frequency was determined by solving an eigenvalue problem. It was found that one of the patterns,…

Fluid Dynamics · Physics 2020-11-06 Alexander V. Proskurin

Flows forced by a precessional motion can exhibit instabilities of crucial importance, whether they concern the fuel of a flying object or the liquid core of a telluric planet. So far, stability analyses of these flows have focused on the…

Fluid Dynamics · Physics 2021-01-27 R. Lagrange , P. Meunier , C. Eloy

Regularizing effects of surface tension are studied for interfacial waves between a two-dimensional, infinitely-deep and irrotational flow of water and vacuum. The water wave problem under the influence of surface tension is formulated as a…

Analysis of PDEs · Mathematics 2012-10-02 Vera Mikyoung Hur

Two finite volume methods are derived and applied to the solution of problems of incompressible flow. In particular, external inviscid flows and boundary-layer flows are examined. The firstmethod analyzed is a cell-centered finite volume…

Numerical Analysis · Mathematics 2025-10-20 Darryl Whitlow

We introduce two sets of continuum equations to describe granular flow on a free surface and study their properties. The equations derived from a microscopic picture that includes jumps and a mobility threshold, account for ripple and…

Condensed Matter · Physics 2007-05-23 R. Mulet , H. Herrmann

Equilibrium, traveling wave, and periodic orbit solutions of pipe, channel, and plane Couette flows can now be computed precisely at Reynolds numbers above the onset of turbulence. These invariant solutions capture the complex dynamics of…

Fluid Dynamics · Physics 2008-10-14 John F. Gibson , Predrag Cvitanovic