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We examine how perturbed shear flows evolve in two-dimensional, incompressible, inviscid hydrodynamical fluids, with the ultimate goal of understanding the dynamics of accretion disks. To linear order, vorticity waves are swung around by…

Astrophysics · Physics 2009-11-13 Yoram Lithwick

This work studies two-dimensional fixed-flux Rayleigh-B\'enard convection with periodic boundary conditions in both horizontal and vertical directions and analyzes its dynamics using numerical continuation, secondary instability analysis…

Fluid Dynamics · Physics 2023-12-12 Chang Liu , Manjul Sharma , Keith Julien , Edgar Knobloch

The study focuses on the 3D electro-hydrodynamic (EHD) instability for flow between to parallel electrodes with unipolar charge injection with and without cross-flow. Lattice Boltzmann Method (LBM) with two-relaxation time (TRT) model is…

Fluid Dynamics · Physics 2020-03-11 Yifei Guan , James Riley , Igor Novosselov

Non-radiating, advection-dominated, accretion flows are convectively unstable. We calculate the two-dimensional (r-theta) structure of such flows assuming that (1) convection transports angular momentum inwards, opposite to normal viscosity…

Astrophysics · Physics 2009-10-31 Eliot Quataert , Andrei Gruzinov

Vertical thermal convection is a non-equilibrium system in which both buoyancy and shear forces play a role in driving the convective flow. Beyond the onset of convection, the driven dissipative system exhibits chaotic dynamics and…

Fluid Dynamics · Physics 2024-11-27 Zheng Zheng , Laurette S. Tuckerman , Tobias M. Schneider

Discontinuous shear thickening (DST) observed in many dense athermal suspensions has proven difficult to understand and to reproduce by numerical simulation. By introducing a numerical scheme including both relevant hydrodynamic…

Soft Condensed Matter · Physics 2013-11-27 Ryohei Seto , Romain Mari , Jeffrey F. Morris , Morton M. Denn

Discrete element numerical simulations of unsteady, homogeneous shear flows have been performed by instantly applying a constant shear rate to a random, static, isotropic assembly of identical, soft, frictional spheres at either zero or…

Soft Condensed Matter · Physics 2024-07-25 Dalila Vescovi , Diego Berzi , Claudio di Prisco

Deformation twinning and martensitic transformations are displacive transformations; they are defined by high speed collective displacements of the atoms, the existence of a parent/daughter orientation relationship, and plate or lath…

Materials Science · Physics 2018-07-17 Cyril Cayron

When floating on a two-dimensional (2D) surface of superfluid $^{4}$He, electrons arrange themselves in 2D crystalline structure known as Wigner crystal. In channels, the boundaries interfere the crystalline order and in case of very narrow…

Mesoscale and Nanoscale Physics · Physics 2014-02-03 A. A. Vasylenko , V. R. Misko

Electrophoresis is the motion of particles relative to a surrounding fluid driven by a uniform electric field. In conventional electrophoresis, the electrophoretic velocity grows linearly with the applied field. Nonlinear effects with a…

Soft Condensed Matter · Physics 2024-03-19 Mojtaba Rajabi , Taras Turiv , Bing-Xiang Li , Hend Baza , Dmitry Golovaty , Oleg D. Lavrentovich

We perform computer simulations to probe the magnetic hysteresis in a two-dimensional ($L^{}_x\times L^{}_y$) assembly of magnetic nanoparticles as a function of dipolar interaction strength $h^{}_d$, temperature $T$, aspect ratio…

Materials Science · Physics 2021-09-14 Manish Anand

In the present paper we theoretically study the shear force exerted on an infinite horizontal plane undergoing fast lateral oscillations in presence of a rigid particle suspended in the viscous liquid above the plate. The study is largely…

Fluid Dynamics · Physics 2022-12-02 Itzhak Fouxon , Boris Rubinstein , Alexander M. Leshansky

Coherent large-scale circulations of turbulent thermal convection in air have been studied experimentally in a rectangular box heated from below and cooled from above using Particle Image Velocimetry. The hysteresis phenomenon in turbulent…

Fluid Dynamics · Physics 2009-11-11 A. Eidelman , T. Elperin , N. Kleeorin , A. Markovich , I. Rogachevskii

Motivated by the experimentally observed shear-induced destabilization and reorientation of smectic A like systems, we consider an extended formulation of smectic A hydrodynamics. We include both, the smectic layering (via the layer…

Soft Condensed Matter · Physics 2009-11-07 Guenter K. Auernhammer , Helmut R. Brand , Harald Pleiner

We generalize the mode-coupling theory of supercooled fluids to systems under stationary shear flow. Our starting point is the generalized fluctuating hydrodynamic equations with a convection term. The method is applied to a two dimensional…

Soft Condensed Matter · Physics 2009-11-10 Kunimasa Miyazaki , Ryoichi Yamamoto , David R. Reichman

We analyze a solenoidal motion in a vertically vibrated freely suspended thin smectic film. We demonstrate analytically that transverse oscillations of the film generate two-dimensional vortices in the plane of the film owing to…

Fluid Dynamics · Physics 2016-06-22 V. M. Parfenyev , S. S. Vergeles , V. V. Lebedev

The main objective of this article is to study the three-dimensional Rayleigh-Benard convection in a rectangular domain from a pattern formation perspective. It is well known that as the Rayleigh number crosses a critical threshold, the…

Pattern Formation and Solitons · Physics 2011-09-27 Taylan Sengul , Shouhong Wang

Recent experiments have shown that when a near-hemispherical lipid vesicle attached to a solid surface is subjected to a simple shear flow it exhibits a pattern of membrane circulation much like a dipole vortex. This is in marked contrast…

Fluid Dynamics · Physics 2012-08-14 Francis G. Woodhouse , Raymond E. Goldstein

Simulations of the structure and dynamics of fluid films confined to a thickness of a few molecular diameters are described. Confining walls introduce layering and in-plane order in the adjacent fluid. The latter is essential to transfer of…

mtrl-th · Physics 2008-02-03 Peter A. Thompson , Mark O. Robbins , Gary S. Grest

It is widely accepted that astrophysical magnetic fields are generated by dynamo action. In many cases these fields exhibit organisation on a scale larger than that of the underlying turbulent flow (e.g., the eleven-year solar cycle). The…

Fluid Dynamics · Physics 2018-12-03 Laura K. Currie , Steven M. Tobias
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