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Surface-active agents (surfactants) release potential energy as they migrate from one of two adjacent fluids onto their fluid-fluid interface, a process that profoundly impacts the system's energy and entropy householding. The continuum…

Fluid Dynamics · Physics 2024-05-29 T. B. van Sluijs , S. K. F. Stoter , E. H. van Brummelen

The isothermal spatio-temporal evolution of an interface between binary fluids, with temperature sensitive miscibility gap, subjected to shear flow is investigated using direct numerical simulations. The thermophysical properties and the…

Fluid Dynamics · Physics 2025-09-03 Anubhav Dubey , Sakir Amiroudine

Understanding the dynamics of phase boundaries in fluids requires quantitative knowledge about the microscale processes at the interface. We consider the sharp-interface motion of compressible two-component flow, and propose a heterogeneous…

Numerical Analysis · Mathematics 2023-09-06 Jim Magiera , Christian Rohde

An existing phase-field model of two immiscible fluids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-posed for a large…

Numerical Analysis · Mathematics 2013-03-20 Stefan Engblom , Minh Do-Quang , Gustav Amberg , Anna-Karin Tornberg

We derive a thermodynamically consistent model, which describes the time evolution of a two-phase flow in an evolving domain. The movement of the free boundary of the domain is driven by the velocity field of the mixture in the bulk, which…

Analysis of PDEs · Mathematics 2026-04-29 Patrik Knopf , Yadong Liu

We investigate interfacial fluid dynamics and heat transfer at nanoscales using an improved diffuse interface approach for liquid-vapor interfaces in non-equilibrium. Conventional Navier-Stokes-Korteweg (NSK) formulations often fail to…

Fluid Dynamics · Physics 2026-03-11 Rahul Bhattacharjee , Henning Struchtrup , Anirudh Singh Rana

In this paper we propose an efficient second order well balanced finite volume method for modeling complex free surface flows at the aid of a simple diffuse interface method. The employed physical model is a two-phase model derived from the…

Numerical Analysis · Mathematics 2018-08-16 Elena Gaburro , Manuel J. Castro , Michael Dumbser

The Phase-Field Method (PFM) is employed to simulate two-phase flows with the fully-coupled Cahn-Hilliard-Navier-Stokes (CHNS) equations governing the temporal evolution. The methodology minimizes the total energy functional, accounting for…

Multi-component fluid flow simulations in multi-scale porous structures often involve regions that are under-resolved at practical computational resolutions. Accurately capturing the contributions from these unresolved regions is critical.…

We propose a multiple relaxation time entropic realization of a two-phase flow lattice Boltzmann model we introduced in earlier works arXiv:2112.01975 S.A. Hosseini, B. Dorschner, and I. V. Karlin, arXiv preprint, arXiv:2112.01975 (2021).…

Fluid Dynamics · Physics 2023-03-22 S. A. Hosseini , B. Dorschner , I. V. Karlin

Thermal compositional multiphase flow in porous media with phase transitions involves complex nonlinear interactions among flow, transport, and phase equilibrium. This paper presents a persistent-variable formulation for thermal…

Computational Physics · Physics 2025-12-05 Veljko Lipovac , Omar Duran , Eirik Keilegavlen , Inga Berre

This study employs three-dimensional particle-resolved simulations of planar shocks passing through a suspension of stationary solid particles to study wake-induced gas-phase velocity fluctuations, termed pseudo-turbulence. Strong coupling…

Fluid Dynamics · Physics 2025-04-07 Archana Sridhar , Rodney O. Fox , Jesse Capecelatro

Fluid dynamics accompanies with the entropy production thus increases the local temperature, which plays an important role in charged systems such as the ion channel in biological environment and electrodiffusion in capacitors/batteries. In…

Fluid Dynamics · Physics 2017-11-09 Pei Liu , Simo Wu , Chun Liu

We develop a new framework for the modelling of charged fluid dynamics in general relativity. The model, which builds on a recently developed variational multi-fluid model for dissipative fluids, accounts for relevant effects like the…

General Relativity and Quantum Cosmology · Physics 2017-05-31 N. Andersson , K. Dionysopoulou , I. Hawke , G. L. Comer

The nonextensive one-dimensional version of a hydrodynamical model for multiparticle production processes is proposed and discussed. It is based on nonextensive statistics assumed in the form proposed by Tsallis and characterized by a…

Nuclear Theory · Physics 2014-11-18 T. Osada , G. Wilk

We consider the incompressible flow of two immiscible fluids in the presence of a solid phase that undergoes changes in time due to precipitation and dissolution effects. Based on a seminal sharp interface model a phase field approach is…

Analysis of PDEs · Mathematics 2019-12-20 Christian Rohde , Lars von Wolff

Heat exchangers are devices that typically transfer heat between two fluids. The performance of a heat exchanger such as heat transfer rate and pressure loss strongly depends on the flow regime in the heat transfer system. In this paper, we…

Computational Engineering, Finance, and Science · Computer Science 2020-05-19 Hiroki Kobayashi , Kentaro Yaji , Shintaro Yamasaki , Kikuo Fujita

The basic model for incompressible two-phase flows with phase transitions is derived from basic principles and shown to be thermodynamically consistent in the sense that the total energy is conserved and the total entropy is nondecreasing.…

Analysis of PDEs · Mathematics 2016-12-20 Jan Pruess , Senjo Shimizu , Yoshihiro Shibata , Gieri Simonett

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…

Computational Physics · Physics 2021-06-04 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

We revisit the sharp-interface continuum thermodynamics of two-phase multicomponent fluid systems, accounting for partial mass and partial momentum balances both in the bulk phases and on the interface. This allows to describe the transfer…

Fluid Dynamics · Physics 2025-02-21 Dieter Bothe
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