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The statistical-mechanical study of the equilibrium properties of fluids, starting from the knowledge of the interparticle interaction potential, is essential to understand the role that microscopic interaction between individual particles…

软凝聚态物质 · 物理学 2025-10-07 Ana M. Montero

We present a new method for studying equilibrium properties of interacting fluids in an arbitrary external field. The fluid is composed of monodisperse spherical particles with hard-core repulsion and additional interactions of arbitrary…

软凝聚态物质 · 物理学 2021-03-09 Benaoumeur Bakhti , Gerhard Müller

We consider a system of partial differential equations describing mass transport in a multicomponent isothermal compressible fluid. The diffusion fluxes obey the Fick-Onsager or Maxwell-Stefan closure approach. Mechanical forces result into…

偏微分方程分析 · 数学 2020-01-27 Dieter Bothe , Pierre-Etienne Druet

This article presents a multi-physics methodology for the numerical simulation of physical systems that involve the non-linear interaction of multi-phase reactive fluids and elastoplastic solids, inducing high strain-rates and high…

计算物理 · 物理学 2021-06-04 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

We consider a two-dimensional, incompressible fluid body, together with self-induced interactions. The body is perturbed by an external particle with small mass. The whole configuration rotates uniformly around the common center of mass. We…

偏微分方程分析 · 数学 2026-02-25 Diego Alonso-Orán , Bernhard Kepka , Juan J. L. Velázquez

Chaplygin's equations describing the planar motion of a rigid body in an unbounded volume of an ideal fluid involved in a circular flow around the body are considered. Hamiltonian structures, new integrable cases, and partial solutions are…

可精确求解与可积系统 · 物理学 2009-11-11 A. V. Borisov , I. S. Mamaev

We consider a model of chemically reacting heat conducting compressible mixture. We investigate the corresponding system of partial differential equations in the steady regime with slip boundary conditions for the velocity and, in…

偏微分方程分析 · 数学 2017-09-21 Tomasz Piasecki , Milan Pokorný

We study the dynamics of the interface between two immiscible fluids in contact with a chemically homogeneous moving solid plate. We consider the generic case of two fluids with any viscosity ratio and of a plate moving in either directions…

流体动力学 · 物理学 2015-06-15 T. S. Chan , S. Srivastava , A. Marchand , B. Andreotti , L. Biferale , F. Toschi , J. H. Snoeijer

In this paper we discuss the motion of a beam in interaction with fluids. We allow the beam to move freely in all coordinate directions. We consider the case of a beam situated in between two different fluids as well as the case where the…

偏微分方程分析 · 数学 2022-06-17 Malte Kampschulte , Sebastian Schwarzacher , Gianmarco Sperone

We explore the relationship between mechanical systems describing the motion of a particle with the mechanical systems describing a continuous medium. More specifically, we will study how the so-called intermediate integrals or fields of…

数学物理 · 物理学 2020-07-15 Ricardo J. Alonso-Blanco

A model of two-component relativistic fluid is considered, and the thermal nature of coupling between the fluid constituents is outlined. This thermal coupling is responsible for non-ideality of the fluid composite where the components are…

核理论 · 物理学 2011-08-16 Ernst Trojan , George V. Vlasov

We introduce an Eulerian approach for problems involving one or more soft solids immersed in a fluid, which permits mechanical interactions between all phases. The reference map variable is exploited to simulate finite-deformation…

计算物理 · 物理学 2015-12-16 Boris Valkov , Chris H. Rycroft , Ken Kamrin

A microfluidic device is constructed from PDMS with a single channel having a short section that is a thin flexible membrane, in order to investigate the complex fluid-structure interaction that arises between a flowing fluid and a…

软凝聚态物质 · 物理学 2020-07-03 Debadi Chakraborty , J. Ravi Prakash , Leslie Yeo , James Friend

The full compressible magnetohydrodynamic equations can be derived formally from the complete electromagnetic fluid system in some sense as the dielectric constant tends to zero. This process is usually referred as magnetohydrodynamic…

偏微分方程分析 · 数学 2015-10-26 Song Jiang , Fucai Li

We consider the motion of a rigid body immersed in an incompressible perfect fluid which occupies a three-dimensional bounded domain. For such a system the Cauchy problem is well-posed locally in time if the initial velocity of the fluid is…

偏微分方程分析 · 数学 2024-12-30 Olivier Glass , Franck Sueur , Takeo Takahashi

In this work, we consider fluid-structure interaction simulation with nonlinear hyperelastic models in the solid part. We use a partitioned approach to deal with the coupled nonlinear fluid-structure interaction problems. We focus on…

数值分析 · 数学 2013-12-20 Ulrich Langer , Huidong Yang

We present a novel computational modeling framework to numerically investigate fluid-structure interaction in viscous fluids using the phase field embedding method. Each rigid body or elastic structure immersed in the incompressible viscous…

流体动力学 · 物理学 2021-09-16 Qi Hong , Qi Wang

The electrostatic interaction between colloidal particles trapped at the interface between two immiscible electrolyte solutions is studied in the limit of small inter-particle distances. Within an appropriate model exact analytic…

软凝聚态物质 · 物理学 2014-05-07 Arghya Majee , Markus Bier , S. Dietrich

Slender bodies capable of spontaneous motion in the absence of external actuation in an otherwise quiescent fluid are common in biological, physical and technological contexts. The interplay between the spontaneous fluid flow, Brownian…

软凝聚态物质 · 物理学 2015-08-13 Abhrajit Laskar , R. Adhikari

We consider the interaction of a compressible fluid with a flexible plate in two space dimensions. The fluid is described by the Navier--Stokes equations in a domain that is changing in accordance with the motion of the structure. The…

偏微分方程分析 · 数学 2024-11-05 Dominic Breit , Arnab Roy