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We numerically investigate the flow structure of periodic steady water waves of fixed relative mass flux propagating on rotational flows with piece-wise constant vorticity. We show that for wave solutions along the global bifurcation…

流体动力学 · 物理学 2020-11-25 Lin Chen , Biswajit Basu , Calin-I Martin

We study suspensions of solid particles in a viscous incompressible fluid in the presence of highly oscillatory velocity-dependent surface forces. The flow at a small Reynolds number is modeled by the Stokes equations coupled with the…

偏微分方程分析 · 数学 2013-04-10 Yuliya Gorb , Florian Maris , Bogdan Vernescu

This paper studies steady supersonic flow in a 2D semi-infinite divergent duct. We assume that the flow satisfies the slip boundary condition on the walls of the duct, and the state of the flow is given at the inlet of the divergent duct.…

偏微分方程分析 · 数学 2026-02-17 Geng Lai

We investigate the linear stability of a sinusoidal shear flow with an initially uniform streamwise magnetic field in the framework of incompressible magnetohydrodynamics (MHD) with finite resistivity and viscosity. This flow is known to be…

流体动力学 · 物理学 2022-10-19 Adrian E. Fraser , Imogen G. Cresswell , Pascale Garaud

Large amplitude gust encounters exhibit a range of separated flow phenomena, making them difficult to characterize using the traditional tools of aerodynamics. In this work, we propose a dynamical systems approach to gust encounters,…

流体动力学 · 物理学 2024-11-20 Luke Smith , Kai Fukami , Girguis Sedky , Anya Jones , Kunihiko Taira

We show existence and uniqueness of strong solutions to a Navier-Stokes/Cahn-Hilliard type system on a given two-dimensional evolving surface in the case of different densities and a singular (logarithmic) potential. The system describes a…

偏微分方程分析 · 数学 2024-08-15 Helmut Abels , Harald Garcke , Andrea Poiatti

We investigate the large scale evolution of a relativistic magnetic reconnection in an electron-positron pair plasma by a relativistic two-fluid magnetohydrodynamic (MHD) code. We introduce an inter-species friction force as an effective…

高能天体物理现象 · 物理学 2014-11-18 Seiji Zenitani , Michael Hesse , Alex Klimas

The linear stability of stratified two-phase flows in rectangular ducts is studied numerically. The linear stability analysis takes into account all possible infinitesimal three-dimensional disturbances and is carried out by solution of the…

流体动力学 · 物理学 2020-04-09 Alexander Gelfgat , Neima Brauner

This paper concerns a diffuse interface model for the flow of two incompressible viscoelastic fluids in a bounded domain. More specifically, the fluids are assumed to be macroscopically immiscible, but with a small transition region, where…

偏微分方程分析 · 数学 2024-11-15 Yadong Liu , Dennis Trautwein

The linear stability of rapid granular flow on a slope under gravity against the longitudinal perturbation is analyzed using hydrodynamic equations. It is demonstrated that the steady flow uniform along the flow direction becomes unstable…

统计力学 · 物理学 2009-11-10 Namiko Mitarai , Hiizu Nakanishi

In this work, we aim to establish a detailed description of the physical mechanisms of intrinsic thermoacoustic modes and their interplay with duct acoustic modes. The biglobal linear stability analysis of an anchored laminar flame in an…

流体动力学 · 物理学 2024-09-26 Lu Chen , Yu Lv

A suspension of swimming microorganisms often generates a large-scale convective pattern known as bioconvection. In contrast to the thermal Rayleigh-Benard system, recent experimental studies report an emergence of steady localized…

流体动力学 · 物理学 2024-06-25 Yoshiki Hiruta , Kenta Ishimoto

We study the asymptotic stability of periodic solutions for sweeping processes defined by a polyhedron with translationally moving faces. Previous results are improved by obtaining a stronger $W^{1,2}$ convergence. Then we present an…

动力系统 · 数学 2022-10-13 Giovanni Colombo , Paolo Gidoni , Emilio Vilches

Steady fluid flows have very special topology. In this paper we describe necessary and sufficient conditions on the vorticity function of a 2D ideal flow on a surface with or without boundary, for which there exists a steady flow among…

辛几何 · 数学 2015-11-19 Anton Izosimov , Boris Khesin

This study seeks to characterise the breakdown of the steady 2D solution in the flow around a 180-degree sharp bend to infinitesimal 3D disturbances using a linear stability analysis. The stability analysis predicts that 3D transition is…

流体动力学 · 物理学 2017-08-30 Azan M. Sapardi , Wisam K. Hussam Alban Pothérat , Gregory J. Sheard

In this work, we derive a new model for immiscible two-layer gas-liquid stratified flows in pipes with general cross sections. The bottom layer is occupied by an incompressible fluid in liquid phase with hydrodynamics based on a hydrostatic…

计算物理 · 物理学 2026-02-16 Sarswati Shah , Gerardo Hernández-Dueñas

In the present paper a simple dynamical model for computing the osmotically driven fluid flow in a variety of complex, non equilibrium situations is derived from first principles. Using the Oberbeck-Boussinesq approximation, the basic…

流体动力学 · 物理学 2014-06-06 Stephan I. Tzenov

We investigate the global frequency selection of two-dimensional vortex shedding in the flat plate wake. The analysis is based on the mean flow velocity profiles obtained from experimental measurements carried out for two values of Reynolds…

Spontaneous growth of long-wavelength deformations is a defining feature of active fluids with orientational order. We investigate the effect of biaxial rectangular confinement on the instability of initially shear-aligned 3D isotropic…

软凝聚态物质 · 物理学 2021-01-04 Pooja Chandrakar , Minu Varghese , S. Ali Aghvami , Aparna Baskaran , Zvonimir Dogic , Guillaume Duclos

We study the global well-posedness and asymptotic behavior for a semilinear damped wave equation with Neumann boundary conditions, modelling a one-dimensional linearly elastic body interacting with a rigid substrate through an adhesive…