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We report evidence of irregular unsteady flow of two-dimensional polymer solutions in the absence of inertia in cross-slot geometry using numerical simulations of Oldroyd-B model. By exploring the transition to time-dependent flow versus…

软凝聚态物质 · 物理学 2021-02-10 Dário Oliveira Canossi , Gilmar Mompean , Stefano Berti

Linear temperature dependence of transport coefficients in metals is often ascribed to non-Fermi-liquid physics. Here we demonstrate the $T$-linear behavior of nonlocal conductivity in a clean 2D electron fluid, where carrier collisions…

介观与纳米尺度物理 · 物理学 2025-02-11 Serhii Kryhin , Qiantan Hong , Leonid Levitov

We propose a simple algebraic method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid. The problem reduces to consecutively solving three linear partial differential equations for a…

可精确求解与可积系统 · 物理学 2015-06-03 A. V. Yurov , A. A. Yurova

We present a generally covariant formulation of conformal higher-order viscoelastic fluid mechanics with strain allowed to take arbitrarily large values. We give a general prescription to determine the dynamics of a relativistic…

高能物理 - 理论 · 物理学 2012-06-27 Masafumi Fukuma , Yuho Sakatani

This paper is concerned with the diffusion of a fluid through a viscoelastic solid undergoing large deformations. Using ideas from the classical theory of mixtures and a thermodynamic framework based on the notion of maximization of the…

计算工程、金融与科学 · 计算机科学 2015-03-17 Satish Karra

Construction, in the framework of a Nonequilibrium Statistical Ensemble Formalism, of a Mesoscopic Hydro-Thermodynamics, that is, covering phenomena involving motion displaying variations short in space and fast in time -unrestricted values…

流体动力学 · 物理学 2012-10-30 C. A. B. Silva , J. G. Ramos , A. R. Vasconcellos , R. Luzzi

We consider a fermionic fluid in a non-equilibrium steady state where the fluctuation-dissipation theorem is not valid and fields conjugate to the hydrodynamic variables are explicitly required to determine response functions. We identify…

统计力学 · 物理学 2024-07-03 T. R. Kirkpatrick , D. Belitz

Fluids can behave in a highly irregular, turbulent way. It has long been realised that, therefore, some weak notion of solution is required when studying the fundamental partial differential equations of fluid dynamics, such as the…

偏微分方程分析 · 数学 2023-06-14 Dennis Gallenmüller , Raphael Wagner , Emil Wiedemann

In the finite element analysis with fast decoupled time integration scheme for viscoelastic fluid (the Leonov model) flow, we investigate strong nonlinear behavior in 2D creeping contraction flow. The algorithm is applicable in the whole…

流体动力学 · 物理学 2011-11-02 Youngdon Kwon

We set up the construction of generic (d+2)-dimensional metrics corresponding to (d+1)-dimensional fluids, representing holographically the hydrodynamic regimes of the putative dual theories. We give general seed equilibrium metrics…

高能物理 - 理论 · 物理学 2015-02-04 Natalia Pinzani-Fokeeva , Marika Taylor

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

偏微分方程分析 · 数学 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

"Granular elasticity," useful for calculating static stress distributions in granular media, is generalized by including the effects of slowly moving, deformed grains. The result is a hydrodynamic theory for granular solids that agrees well…

软凝聚态物质 · 物理学 2009-11-13 Yimin Jiang , Mario Liu

It is shown how a complete set of hydrodynamic equations describing an unsteady three-dimensional viscous flow nearby a solid body, can be reduced to a closed system of surface equations using the method of dimension reduction of…

流体动力学 · 物理学 2014-08-04 Maxim Zaytsev , Vyacheslav Akkerman

Owing to the Chapman-Kolmogorov equation for Markovian dynamics,any equilibrium trajectory of a Brownian particle in a solvent fluid can be viewed as the superposition of an uncountable number of non-equilibrium states. This property…

统计力学 · 物理学 2026-05-18 Jason Boynewicz , Michael C. Thumann , Giuseppe Procopio , Massimiliano Giona

The motion of noncircular two-dimensional vortices is shown to depend on a form of coupling between vortex ellipticity and the gradient of fluid density. The approach is based on the perspective that an elliptic vortex can be described as…

流体动力学 · 物理学 2021-09-29 Jasmine M. Andersen , Andrew A. Voitiv , Mark E. Siemens , Mark T. Lusk

We study the asymptotic behavior of global solutions to hydrodynamical systems modeling the nematic liquid crystal flows under kinematic transports for molecules of different shapes. The coupling system consists of Navier-Stokes equations…

偏微分方程分析 · 数学 2012-10-24 Hao Wu , Xiang Xu , Chun Liu

Many functional materials, such as paints and inks used in applications like coating and 3D printing, are concentrated granular suspensions. In such systems, the contact line dynamics and the internal structure of the suspension interact…

Microfluidic devices manufactured from soft polymeric materials have emerged as a paradigm for cheap, disposable and easy-to-prototype fluidic platforms for integrating chemical and biological assays and analyses. The interplay between the…

软凝聚态物质 · 物理学 2021-11-25 Ivan C. Christov

We study a diffuse interface model describing the complex rheology and the interfacial dynamics during phase separation in a polar liquid-crystalline emulsion. More precisely, the physical systems comprises a two-phase mixture consisting in…

偏微分方程分析 · 数学 2024-06-27 Giulia Bevilacqua , Andrea Giorgini

We construct the theory of dissipative hydrodynamics of uncharged fluids living on embedded space-time surfaces to first order in a derivative expansion in the case of codimension-1 surfaces (including fluid membranes) and the theory of…

高能物理 - 理论 · 物理学 2014-12-23 Jay Armas