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An overview of the hydrodynamic profiles derived by kinetic theory tools (Boltzmann equation and kinetic models) for the gravity-driven Poiseuille flow with particles colliding either elastically (planar and cylindrical geometries) or…

Statistical Mechanics · Physics 2008-09-12 Andres Santos , Mohamed Tij

Mathematical models that accurately predict the mechanical behavior of blood can contribute to the development of biomedical devices and medications which are relevant in clinical applications. The models existing in the literature are…

Fluid Dynamics · Physics 2018-08-27 Corina S. Drapaca , Zhifeng Zhang , Ruifan Meng

Because the Navier-Stokes equations are dissipative, the long-time dynamics of a flow in state space are expected to collapse onto a manifold whose dimension may be much lower than the dimension required for a resolved simulation. On this…

Fluid Dynamics · Physics 2023-01-12 Alec J. Linot , Michael D. Graham

We investigate Poiseuille channel flow through intrinsically curved media, equipped with localized metric perturbations. To this end, we study the flux of a fluid driven through the curved channel in dependence of the spatial deformation,…

Fluid Dynamics · Physics 2016-04-27 J. -D. Debus , M. Mendoza , S. Succi , H. J. Herrmann

The unsteady Poiseuille flow of Carreau-Yasuda fluid in a pipe, caused by a variable pressure gradient, is studied theoretically. In a particular case, the steady flow is considered separately. It is proved that at some values of the…

Analysis of PDEs · Mathematics 2024-04-09 Nikolay Kutev , Sonia Tabakova

In a recent paper [F. Vega Reyes et al., Phys. Rev. Lett. 104, 028001 (2010)] we presented a preliminary description of a special class of steady Couette flows in dilute granular gases. In all flows of this class the viscous heating is…

Soft Condensed Matter · Physics 2011-02-16 Francisco Vega Reyes , Vicente Garzó , Andrés Santos

The Galerkin method is used to derive a realistic model of plane Couette flow in terms of partial differential equations governing the space-time dependence of the amplitude of a few cross-stream modes. Numerical simulations show that it…

Fluid Dynamics · Physics 2008-11-25 M. Lagha , P. Manneville

We study equilibrium properties of polymer films and droplets on a solid substrate employing particle-based simulation techniques (Molecular Dynamics) and a continuum description. Parameter-passing techniques are explored that facilitate a…

Soft Condensed Matter · Physics 2013-03-25 Nikita Tretyakov , Marcus Müller , Desislava Todorova , Uwe Thiele

We numerically investigate the hydrodynamics of a compound drop in a plane Poiseuille flow under Stokes regime. A neutrally buoyant, initially concentric compound drop is released into a fully developed flow, where it migrates to its…

Fluid Dynamics · Physics 2020-07-15 Vignesh Thammanna Gurumurthy , S. Pushpavanam

We describe recent developments in the hybrid atomistic/continuum modelling of dense fluids. We discuss the general implementation of mass, momentum and energy transfers between a region described by molecular dynamics and the neighbouring…

Computational Physics · Physics 2007-05-23 R. Delgado-Buscalioni , P. V. Coveney

A new model for the drag coefficient of a sphere in a concentrated system is described. It is based upon a cell-averaged model for the Stokes regime combined with a physically motivated extrapolation to arbitrary Reynolds number. It can be…

Fluid Dynamics · Physics 2015-01-13 Gary Tupper , Indresan Govender , Aubrey Mainza

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

We propose a nonlocal model for surface tension. This model, in combination with the Landau-Lifshitz-Navier-Stokes equations, describes mesoscale features of the multiphase flow, including the static (pressure) tensor and curvature…

Fluid Dynamics · Physics 2018-05-23 Alexandre M. Tartakovsky

A one-dimensional multi-phase flow model for thermomagnetically pumped ferrofluid with heat transfer is proposed. The thermodynamic model is a combination of a simplified particle model and thermodynamic equations of state for the base…

Computational Physics · Physics 2016-06-01 Eskil Aursand , Magnus Aa. Gjennestad , Karl Yngve Lervåg , Halvor Lund

The liquid cone-jet mode can be produced upon stimulation by a co-flowing gas sheath. Most applications deal with the jet breakup, leading to either of two droplet generation regimes: jetting and dripping. The cone-jet flow pattern is…

Turbulent-laminar patterns near transition are simulated in plane Couette flow using an extension of the minimal flow unit methodology. Computational domains are of minimal size in two directions but large in the third. The long direction…

Fluid Dynamics · Physics 2007-05-23 Dwight Barkley , Laurette S. Tuckerman

For improved operating conditions of a polymer electrolyte membrane (PEM) fuel cell, a sophisticated water management is crucial. Therefore, it is necessary to understand the transport mechanisms of water throughout the cell constituents…

The modeling of multi-phase flow is very challenging, given the range of scales as well as the diversity of flow regimes that one encounters in this context. We revisit the discrete equation method (DEM) for two-phase flow in the absence of…

Numerical Analysis · Mathematics 2023-03-01 Marco Petrella , Remi Abgrall , Siddhartha Mishra

We study dynamics of a probe molecule, driven by an external constant force in a liquid monolayer on top of solid surface. In terms of a microscopic, mean-field-type approach, we calculate the terminal velocity of the probe molecule. This…

Soft Condensed Matter · Physics 2015-06-25 J. De Coninck , G. Oshanin , M. Moreau

A general one-dimensional model for the steady adiabatic motion of liquid-volatile mixtures in vertical ducts with varying cross-section is presented. The liquid contains a dissolved part of the volatile and is assumed to be incompressible…

Geophysics · Physics 2012-07-20 Marco Belan , Enzo Cataldo