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A streamwise-constant model is presented to investigate the basic mechanisms responsible for the change in mean flow occuring during pipe flow transition. Using a single forced momentum balance equation, we show that the shape of the…

Fluid Dynamics · Physics 2015-05-27 Jean-Loup Bourguignon , Beverley J. McKeon

We develop a Continuous Hugoniot Method for the efficient simulation of shock wave fronts with molecular dynamics. This approach achieves a significantly improved efficiency in the generation of a dense sampling of steady-state shock front…

Materials Science · Physics 2009-09-29 J. M. D. Lane , M. P. Marder

Granular material on an inclined plane will flow like a fluid if the angle $\theta$ the plane makes with the horizontal is large enough. We employ a modification of a hydrodynamic model introduced previously to describe Couette flow…

Statistical Mechanics · Physics 2009-11-07 Lyderic Bocquet , Jalal Errami , Tom. C. Lubensky

This Note determines the unsteady non-circulatory forces on an arbitrarily deforming panel with a Holder-continuous porosity distribution. An analytical expression for the non-circulatory pressure distribution is presented and evaluated for…

Fluid Dynamics · Physics 2018-12-06 Rozhin Hajian , Justin W. Jaworski

Slow and dense granular flows often exhibit narrow shear bands, making them ill-suited for a continuum description. However, smooth granular flows have been shown to occur in specific geometries such as linear shear in the absence of…

Soft Condensed Matter · Physics 2009-11-11 Martin Depken , Martin van Hecke , Wim van Saarloos

An array of twelve circular-orifice synthetic jet actuators (SJAs) was used to provide the unsteady forcing required for flow separation control over a National Advisory Committee for Aeronautics (NACA) 0025 airfoil at a chord-based…

Fluid Dynamics · Physics 2024-02-20 Ali Shirinzad , Kecheng Xu , Pierre Edward Sullivan

We consider a random dynamical system obtained by switching between the flows generated by two smooth vector fields on the 2d-torus, with the random switchings happening according to a Poisson process. Assuming that the driving vector…

Dynamical Systems · Mathematics 2018-03-22 Yuri Bakhtin , Tobias Hurth , Sean D. Lawley , Jonathan C. Mattingly

We present the derivation of a new unidirectional model for We present the derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipes. We introduce a local reference frame to take into account the…

Analysis of PDEs · Mathematics 2010-06-02 Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

Pulsatile flow through compressed or defective blood vessels is a topic of fundamental importance in hemodynamics, particularly in cardiovascular research. This study examines flow dynamics within a tube with a bipolar cross section,…

Medical Physics · Physics 2025-03-04 Doyeol , Ahn

In this article, we aim to study the stability and dynamic transition of an electrically conducting fluid in the presence of an external uniform horizontal magnetic field and rotation based on a Boussinesq approximation model. By analyzing…

Dynamical Systems · Mathematics 2022-05-25 Liang Li , Yanlong Fan , Daozhi Han , Quan Wang

Harmonic oscillations of the walls of a turbulent plane channel flow are studied by direct numerical simulations to improve our understanding of the physical mechanism for skin-friction drag reduction. The simulations are carried out at…

Fluid Dynamics · Physics 2017-04-26 Pierre Ricco , Claudio Ottonelli , Yosuke Hasegawa , Maurizio Quadrio

The derivation of shallow water models from Navier-Stokes equations is revisited yielding a class of two-layer shallow water models.An improved velocity profile is proposed, based on the superposition of an ideal fluid and a viscous layer…

Analysis of PDEs · Mathematics 2018-06-11 François James , Pierre-Yves Lagrée , Hoang-Minh Le , Mathilde Legrand

This paper extends the resolvent formalism for wall turbulence proposed by McKeon and Sharma(2010) to account for the effect of streamwise-constant riblets. Under the resolvent formulation, the Navier-Stokes equations are interpreted as a…

Fluid Dynamics · Physics 2021-01-15 Andrew Chavarin , Mitul Luhar

Motivated by experiments on a hydrodynamic regime in electron transport, we study the effect of an oscillating electric field in such a setting. We consider a long two-dimensional channel of width $L$, whose geometrical simplicity allows an…

Strongly Correlated Electrons · Physics 2018-05-02 Roderich Moessner , Piotr Surówka , Piotr Witkowski

An oscillating spanwise pressure gradient is imposed numerically to control the flow separation and reduce the drag of a turbulent flow in a channel with square bars. The transverse flow produces a maximum drag reduction of 25\%, due to…

Fluid Dynamics · Physics 2021-03-05 Vinh-Tan Nguyen , Pierre Ricco , Gianluca Pironti

The decomposition of the energy of a compressible fluid parcel into slow (deterministic) and fast (stochastic) components is interpreted as a stochastic Hamiltonian interacting particle system (HIPS). It is shown that the McKean-Vlasov…

Fluid Dynamics · Physics 2020-10-02 Simon Hochgerner

Spatially-periodic channels are increasingly attracting attention as an efficient alternative to packed columns for a number of analytical and engineering processes. In incompressible flows, the periodic geometry allows to compute the flow…

We consider the governing equations for the motion of the inviscid fluids in two moving domains and an evolving surface from an energetic point of view. We employ our energetic variational approaches to derive inviscid multiphase flow…

Mathematical Physics · Physics 2024-01-10 Hajime Koba

We introduce the model of inelastic hard spheres with random restitution coefficient $\alpha$, in order to account for the fact that, in a vertically shaken granular system interacting elastically with the vibrating boundary, the energy…

Soft Condensed Matter · Physics 2009-11-07 Alain Barrat , Emmanuel Trizac , Jean-Noel Fuchs

Aims: The test-field method for computing turbulent transport coefficients from simulations of hydromagnetic flows is extended to the regime with a magnetohydrodynamic (MHD) background. Methods: A generalized set of test equations is…

Solar and Stellar Astrophysics · Physics 2015-03-14 M. Rheinhardt , A. Brandenburg