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The solution of a momentum conservation equation for the gas and liquid stream in the flowing element is obtained on the basis of the modern approach to a problem on contact interaction of bodies and mediums. A flowing element, system are:…

流体动力学 · 物理学 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik

Electrohydrodynamic instabilities of fluid-fluid interfaces can be exploited in various microfluidic applications in order to enhance mixing, replicate well-controlled patterns or generate drops of a particular size. In this work, we study…

流体动力学 · 物理学 2021-06-29 Mohammadhossein Firouznia , David Saintillan

In many urban areas of the developing world, piped water is supplied only intermittently, as valves direct water to different parts of the water distribution system at different times. The flow is transient, and may transition between…

流体动力学 · 物理学 2016-04-26 Anna M. Lieb , Chris H. Rycroft , Jon Wilkening

In order to describe behavior of various liquid-like materials at high pressures, incompressible fluid models with pressure dependent viscosity seem to be a suitable choice. In the context of implicit constitutive relations involving the…

偏微分方程分析 · 数学 2010-04-08 Miroslav Bulíček , Mohamed Majdoub , Josef Málek

An existence result is proved for a nonlinear diffusion problem of phase-field type, consisting of a parabolic system of two partial differential equations, complemented by Neumann homogeneous boundary conditions and initial conditions.…

偏微分方程分析 · 数学 2012-02-24 Pierluigi Colli , Gianni Gilardi , Paolo Podio-Guidugli , Jürgen Sprekels

We consider a canonical flow-structure system modeling airflow over a cantilevered beam. Flow-beam interactions arise in flight systems as well as alternative energy technologies, such as piezoelectric energy harvesters. A potential flow,…

偏微分方程分析 · 数学 2025-09-30 Maria Deliyianni , Irena Lasiecka , Justin T. Webster

In this note we derive a new nonlocal and nonlinear dispersive equations capturing the main dynamics of a circular interface separating a light, viscous fluid rising buoyantly through a heavy, more viscous, miscible fluid at small Reynolds…

偏微分方程分析 · 数学 2024-12-24 Rafael Granero-Belinchón

We present a description of granular dynamics based on the idea of differentiation between fluid and solid components. First, we construct a model of completely fluidized phase. Then we discuss a shear surface motion on the boundary of the…

软凝聚态物质 · 物理学 2007-05-23 Alexei V. Tkachenko , Vachtang Putkaradze

A fundamental difficulty of studying gas-liquid pipe flows is the prediction of the occurrence and characteristics of the slug flow regime, which plays a crucial role in the safety design of oil pipelines. Current empirical methods and…

流体动力学 · 物理学 2024-05-24 Massoud Rezavand , Xiangyu Hu

A method to bound the maximum energy perturbation for which regional stability of transitional fluid flow models can be guaranteed is introduced. The proposed method exploits the fact that the fluid model's nonlinearities are both lossless…

流体动力学 · 物理学 2021-10-19 Leonardo F. Toso , Ross Drummond , Stephen R. Duncan

The stability of buoyant flows occurring in the mixed convection regime for a viscous fluid in a horizontal plane-parallel channel with adiabatic walls is investigated. The basic flow features a parallel velocity field under stationary…

流体动力学 · 物理学 2023-10-10 A. Barletta , M. Celli , D. A. S. Rees

While various phase-field models have recently appeared for two-phase fluids with different densities, only some are known to be thermodynamically consistent, and practical stable schemes for their numerical simulation are lacking. In this…

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…

地球物理 · 物理学 2012-07-20 Marco Belan , Enzo Cataldo

In many interfacial flow systems, variations of surface properties lead to novel and interesting behaviors. In this work a three-dimensional model of flow dynamics for multicomponent vesicles is presented. The surface composition is modeled…

软凝聚态物质 · 物理学 2017-12-07 Prerna Gera , David Salac

In this paper, two approaches for modeling three-component fluid flows using diffusive interface method are discussed. Thermodynamic consistency of the proposed models is preserved when using an energetic variational framework to derive the…

偏微分方程分析 · 数学 2018-10-12 Arkadz Kirshtein , James Brannick , Chun Liu

A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is performed to study the conditions for stability of a suspension of solid particles immersed in a viscous gas. The dissipation in such…

统计力学 · 物理学 2017-03-28 Rubén Gómez González , Vicente Garzó

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…

数值分析 · 数学 2023-03-01 Marco Petrella , Remi Abgrall , Siddhartha Mishra

It is shown that linear instability of plane Couette flow can take place even at finite Reynolds numbers which meets with known experimental data. This new result of the linear theory of hydrodynamic stability is obtained only due by…

流体动力学 · 物理学 2025-06-06 Sergey G. Chefranov , Alexander G. Chefranov

In this paper, we focus on modeling and simulation of two-phase flow with moving contact lines and variable density. A thermodynamically consistent phase-field model with General Navier Boundary Condition is developed based on the concept…

数值分析 · 数学 2020-01-29 Lingyue Shen , Huaxiong Huang , Ping Lin , Zilong Song , Shixin Xu

In this work, we propose a novel phase-field model for the simulation of two-phase flows that is accurate, conservative, bounded, and robust. The proposed model conserves the mass of each of the phases, and results in bounded transport of…

计算物理 · 物理学 2022-08-23 Suhas S. Jain