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In this paper we initiate the mathematical analysis of a system of nonlinear Stochastic Partial Differential equations describing the motion of turbulent Non-Newtonian media in the presence of fluctuating magnetic field. The system is…

Analysis of PDEs · Mathematics 2015-07-06 Paul Andre Razafimandimby , Mamadou Sango

This video shows three-dimensional contours at two different values of enstrophy for a turbulent boundary layer up to $Re_\theta \simeq 2500$. Its intention is to show how, what can be be considered the turbulent/nonturbulent interface for…

Fluid Dynamics · Physics 2012-10-16 Guillem Borrell , Juan A. Sillero , Javier Jiménez

When electrons flow as a viscous fluid in anisotropic metals, the reduced symmetry can lead to exotic viscosity tensors with many additional, nonstandard components. We present a viscometry technique that can, in principle, measure the…

Strongly Correlated Electrons · Physics 2021-10-26 Caleb Q. Cook , Andrew Lucas

Fluid dynamics corresponds to the dynamics of a substance in the long wavelength limit. Writing down all terms in a gradient (long wavelength) expansion up to second order for a relativistic system at vanishing charge density, one obtains…

High Energy Physics - Theory · Physics 2010-01-22 Paul Romatschke

We study a coupled kinetic-non-Newtonian fluid system on the periodic domain ${\mathbb T}^3$, where particles evolve by a Vlasov equation and interact with an incompressible power-law fluid through a drag force. We prove the global…

Analysis of PDEs · Mathematics 2025-08-22 Young-Pil Choi , Jinwook Jung , Aneta Wróblewska-Kamińska

Complex fluids transition from laminar to transitory flow above a critical control parameter, akin to their Newtonian counterparts. In a continuum mechanics sense, fluid elements follow the ensuing complex trajectories, giving rise to…

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

This article deals with the flow of Newtonian fluids through axially-symmetric corrugated tubes. An analytical method to derive the relation between volumetric flow rate and pressure drop in laminar flow regimes is presented and applied to…

Mathematical Physics · Physics 2010-06-09 Taha Sochi

This arXiv article describes the fluid dynamics video on `Gravity-driven thin-film flow with negatively buoyant particles', presented at the 64th Annual Meeting of the APS Division of Fluid Dynamics in Baltimore, MD in November 2011. The…

Fluid Dynamics · Physics 2011-10-18 A. Mavromoustaki , P. David , S. Hill , P. Latterman , W. Rosenthal , M. Mata , A. L. Bertozzi

The dynamics along the particle trajectories for the 3D axisymmetric Euler equations are considered. It is shown that if the inflow is rapidly increasing (pushy) in time, the corresponding laminar profile of the incompressible Euler flow is…

Analysis of PDEs · Mathematics 2017-05-15 Tsuyoshi Yoneda

We propose here a fluid dynamics video relating the bursting of soap rigid films.

Fluid Dynamics · Physics 2013-10-14 Pauline C. Petit , Anne-Laure Biance

We investigate the flow of various non-Newtonian fluids through three-dimensional disordered porous media by direct numerical simulation of momentum transport and continuity equations. Remarkably, our results for power-law (PL) fluids…

Fluid Dynamics · Physics 2009-11-09 Apiano F. Morais , Hansjoerg Seybold , Hans J. Herrmann , José S. Andrade

We study non-equilibrium velocity fluctuations in a model for the sedimentation of non-Brownian particles experiencing long-range hydrodynamic interactions. The complex behavior of these fluctuations, the outcome of the collective dynamics…

Statistical Mechanics · Physics 2015-06-24 M. -Carmen Miguel , R. Pastor-Satorras

We report an experimental study of the intermittent dynamics of a gas flowing through a column of a non-Newtonian fluid. In a given range of the imposed constant flow rate, the system spontaneously alternates between two regimes: bubbles…

Statistical Mechanics · Physics 2013-10-02 Thibaut Divoux , Eric Bertin , Valérie Vidal , Jean-Christophe Géminard

We study the flow of a generalized Newtonian fluid, characterized by a power-law model, through a channel consisting of a wall with a flexible membrane under longitudinal tension. It is assumed that at steady state the flow through the…

Fluid Dynamics · Physics 2016-09-23 Prakash Goswami , Aditya Bandopadhyay , Suman Chakraborty

A round disk with a harmonic disturbance impacts on a water surface and creates a non-axisymmetric cavity which collapses under the influence of hydrostatic pressure. We use disks deformed with mode m=2 to m=6. For all mode numbers we find…

We study the thermodynamics and non-relativistic hydrodynamics of the holographic fluid on a finite cutoff surface in the Gauss-Bonnet gravity. It is shown that the isentropic flow of the fluid is equivalent to a radial component of…

High Energy Physics - Theory · Physics 2012-08-06 Rong-Gen Cai , Li Li , Zhang-Yu Nie , Yun-Long Zhang

The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is presented. Dissipative effects due to the viscous nature of the…

Fluid Dynamics · Physics 2020-02-20 Dimitrios Mitsotakis , Denys Dutykh , Li Qian

In this fluid dynamics video, we demonstrate the first three circumferential modes of fast, large amplitude vibrations of compliant cylindrical shells carrying a fluid.

Fluid Dynamics · Physics 2012-10-16 Pawel Zimoch , Eliott Tixier , Julia Hsu , Amos Winter , Anette Hosoi

We introduce a new heterogeneous multi-scale method for the simulation of flows of non-Newtonian fluids in general geometries and present its application to paradigmatic two-dimensional flows of polymeric fluids. Our method combines…