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Related papers: Thermal effects in fluid structure interactions

200 papers

We investigate an explicit example of how spatial decoherence can lead to hydrodynamic behavior in the late-time, long-wavelength regime of open quantum systems. We focus on the case of a single non-relativistic quantum particle linearly…

Statistical Mechanics · Physics 2025-12-17 Zhi-Li Zhou , Mauricio Hippert , Nicki Mullins , Jorge Noronha

In the present work, we consider the evolution of two fluids separated by a sharp interface in the presence of surface tension - like, for example, the evolution of oil bubbles in water. Our main result is a weak-strong uniqueness principle…

Analysis of PDEs · Mathematics 2020-02-26 Julian Fischer , Sebastian Hensel

We study traveling wave solutions to the free boundary problem associated to a generalized Navier-Stokes Fourier system, which models a viscous, incompressible, heat-conducting fluid. The fluid is assumed to occupy a horizontally infinite…

Analysis of PDEs · Mathematics 2026-03-24 Jae Ho Choi , Ian Tice

We address the fluid-structure interaction between a viscous incompressible fluid and an elastic plate forming its moving upper boundary in three dimensions. The fluid is described by the incompressible Navier-Stokes equations with a free…

Analysis of PDEs · Mathematics 2026-03-31 Mario Bukal , Igor Kukavica , Linfeng Li , Boris Muha

In this paper, our goal is to define a measure valued solution of compressible Navier--Stokes--Fourier system for a heat conducting fluid with Dirichlet boundary condition for temperature in a bounded domain. The definition is based on the…

Analysis of PDEs · Mathematics 2022-07-05 Nilasis Chaudhuri

The motion of two contiguous incompressible and viscous fluids is described within the diffuse interface theory by the so-called Model H. The system consists of the Navier-Stokes equations, which are coupled with the Cahn-Hilliard equation…

Analysis of PDEs · Mathematics 2024-12-10 Andrea Giorgini , Alain Miranville , Roger Temam

This study proposes and explores a linear hydrodynamic thermo-elasticity system within mixture models, comprising fluid and solid phases, with a focus on biological tissues, particularly tumor-related phenomena. Although tumor growth is not…

Analysis of PDEs · Mathematics 2025-02-11 Michael Eden , Meraj Alam , Prakash Kumar , G P Raja Sekhar

Hypothesis: Nanofluidic systems provide an emerging and efficient platform for thermoelectric conversion and fluid pumping with low-grade heat energy. As a basis of their performance enhancement, the effects of the structures and properties…

Soft Condensed Matter · Physics 2023-09-14 Wenyao Zhang , Muhammad Farhan , Kai Jiao , Fang Qian , Panpan Guo , Qiuwang Wang , Charles Chun Yang , and Cunlu Zhao

This paper is devoted to the global existence of weak solutions to the three-dimensional compressible Navier-Stokes equations with heat-conducting effects in a bounded domain. The viscosity and the heat conductivity coefficients are assumed…

Analysis of PDEs · Mathematics 2021-03-19 Guodong Wang , Bijun Zuo

The influence of temperature on interfacial fluid slip, as measured by molecular-dynamics simulations of a Couette flow comprising a Lennard-Jones fluid and rigid crystalline walls, is examined as a function of the fluid-solid interaction…

Fluid Dynamics · Physics 2021-06-30 Thiago F. Viscondi , Adriano Grigolo , Iberê L. Caldas , Julio R. Meneghini

We present a novel framework inspired by the Immersed Boundary Method for predicting the fluid-structure interaction of complex structures immersed in flows with moderate to high Reynolds numbers. The main novelties of the proposed…

Hydrodynamic interactions play an important role in many areas of soft matter science. In simulations with implicit solvent, various techniques such as Brownian or Stokesian dynamics explicitly include hydrodynamic interactions a posteriori…

Soft Condensed Matter · Physics 2018-11-16 Gerhard Jung , Friederike Schmid

We investigate the stationary nonequilibrium states of a quasi one-dimensional system of heavy particles whose interaction is mediated by purely elastic collisions with light particles, in contact at the boundary with two heat baths with…

Statistical Mechanics · Physics 2009-11-10 Christian Gruber , Annick Lesne

We discuss the thermal conduction and convection of thermally relativistic fluids between two parallel walls under the gravitational force, both theoretically and numerically. In the theoretical discussion, we assume that the Lorentz…

Fluid Dynamics · Physics 2015-08-24 Ryosuke Yano

In this paper we consider a fluid-structure interaction problem given by the steady Navier Stokes equations coupled with linear elasticity taken from [Lasiecka, Szulc, and Zochoswki, Nonl. Anal.: Real World Appl., 44, 2018]. An elastic body…

Optimization and Control · Mathematics 2021-09-07 Michael Hintermüller , Axel Kröner

In this paper, we study a hydrodynamic phase-field system modeling the deformation of functionalized membranes in incompressible viscous fluids. The governing PDE system consists of the Navier-Stokes equations coupled with a convective…

Analysis of PDEs · Mathematics 2022-06-22 Hao Wu , Yuchen Yang

Thermal convection in nanofluids is investigated by means of a continuum model for binary-fluid mixtures, with a thermal conductivity depending on the local concentration of colloidal particles. The applied temperature difference between…

Soft Condensed Matter · Physics 2015-05-20 Martin Glässl , Markus Hilt , Walter Zimmermann

We study a coupled fluid-structure system involving boundary conditions on the pressure. The fluid is described by the incompressible Navier--Stokes equations in a 2D rectangular type domain where the upper part of the domain is described…

Analysis of PDEs · Mathematics 2018-05-17 Jean-Jérôme Casanova

We study the zero viscosity and heat conductivity limit of an initial boundary problem for the linearized Navier-Stokes-Fourier equations of a compressible viscous and heat conducting fluid in the half plane. We consider the case that the…

Analysis of PDEs · Mathematics 2014-02-07 Yutao Ding , Ning Jiang

We consider time dependent thermal fluid structure interaction. The respective models are the compressible Navier-Stokes equations and the nonlinear heat equation. A partitioned coupling approach via a Dirichlet-Neumann method and a fixed…

Numerical Analysis · Mathematics 2023-07-19 Philipp Birken , Tobias Gleim , Detlef Kuhl , Andreas Meister