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In the context of many applications of turbulent multi-phase flows, knowledge of the dispersed phase size distribution and its evolution is critical to predicting important macroscopic features. We use a population dynamics model for…

Fluid Dynamics · Physics 2021-04-19 Aditya Aiyer , Di Yang , Marcelo Chamecki , Charles Meneveau

We address the discretization of two-phase Darcy flows in a fractured and deformable porous medium, including frictional contact between the matrix-fracture interfaces. Fractures are described as a network of planar surfaces leading to the…

Numerical Analysis · Mathematics 2022-01-24 Francesco Bonaldi , Jérôme Droniou , Roland Masson , Antoine Pasteau

In order for a droplet to rebound rather than coalesce with a liquid bath, a layer of gas must persist throughout the impact. This gas, typically an air layer acts as a lubricant to the system and permits a pressure transfer between the two…

Fluid Dynamics · Physics 2025-06-18 Katie A Phillips , Radu Cimpeanu , Paul A Milewski

We present a comprehensive workflow to simulate single-phase flow and transport in fractured porous media using the discrete fracture matrix approach. The workflow has three primary parts: (1) a method for conforming mesh generation of and…

Computational Engineering, Finance, and Science · Computer Science 2022-07-27 Jeffrey D. Hyman , Matthew R. Sweeney , Carl W. Gable , Daniil Svyatsky , Konstantin Lipnikov , J. David Moulton

One of the varieties of pores, often found in natural or artificial building materials, are the so-called blind pores of dead-end or saccate type. Three-dimensional model of such kind of pore has been developed in this work. This model has…

Fluid Dynamics · Physics 2017-08-22 Eduard G. Nikonov , Miron Pavluš , Mária Popovičová

Molecules at the air-water interface often form inhomogeneous layers in which domains of different densities are separated by sharp interfaces. Complex interfacial pattern formation may occur through the competition of short- and long-range…

patt-sol · Physics 2009-10-30 David K. Lubensky , Raymond E. Goldstein

We investigate a two-dimensional network simulator that model the dynamics of two-phase immiscible bulk flow where film flow can be neglected. We present a method for simulating the detailed dynamical process where the two phases are…

Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Eyvind Aker , Alex Hansen

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…

Computational Physics · Physics 2026-02-16 Sarswati Shah , Gerardo Hernández-Dueñas

The overall traffic of droplets in a network of microfluidic channels is strongly influenced by the liquid properties of the moving droplets. In particular, the effective hydrodynamic resistance of individual droplets plays a key role in…

Fluid Dynamics · Physics 2009-04-01 Vincent Labrot , Michael Schindler , Pierre Guillot , Annie Colin , Mathieu Joanicot

We investigate theoretically the energy transfer phenomenon in a double-layer graphene (DLG) system in which two layers are coupled due to the Coulomb interlayer interaction without appreciable interlayer tunneling. We use the balance…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 B. Bahrami , T. Vazifehshenas

The increasing complexity of energy systems due to sector coupling and decarbonization calls for unified modeling frameworks that capture the physical and structural interactions between electricity, gas, and heat networks. This paper…

Systems and Control · Electrical Eng. & Systems 2026-01-08 Marwan Mostafa , Daniel Wenser , Payam Teimourzadeh Baboli , Christian Becker

Multiple emulsions are a class of soft fluid in which small drops are immersed within a larger one and stabilized over long periods of time by a surfactant. We recently showed that, if a monodisperse multiple emulsion is subject to a…

Soft Condensed Matter · Physics 2022-01-12 A. Tiribocchi , A. Montessori , M. Durve , F. Bonaccorso , M. Lauricella , S. Succi

We present an hybrid VOF/embedded boundary method allowing to model two-phase flows in presence of solids with arbitrary shapes. The method relies on the coupling of existing methods: a geometric Volume of fluid (VOF) method to tackle the…

We have simulated the temporal evolution of pressure due to capillary and viscous forces in two-phase drainage in porous media. We analyze our result in light of macroscopic flow equations for two-phase flow. We also investigate the effect…

Fluid Dynamics · Physics 2009-10-31 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen

A phase--field method is applied to the modeling of flow and breakup of droplets in a T--shaped junction in the hydrodynamic regime where capillary and viscous stresses dominate over inertial forces, which is characteristic of microfluidic…

Soft Condensed Matter · Physics 2009-11-11 Mario De Menech

The study of vapor bubble growth following droplet vaporization in a superheated liquid involves research areas such as hydrodynamics, heat transfer, mass transfer, and thermodynamics. The interplay between these multiscale aspects is…

Fluid Dynamics · Physics 2024-04-29 Muhammad Saeed Saleem , Michel Versluis , Guillaume Lajoinie

We investigate a new diffuse-interface model that describes creeping two-phase flows (i.e., flows exhibiting a low Reynolds number), especially flows that permeate a porous medium. The system of equations consists of a Brinkman equation for…

Analysis of PDEs · Mathematics 2025-09-15 Pierluigi Colli , Patrik Knopf , Giulio Schimperna , Andrea Signori

In this contribution, we introduce a versatile formalism to derive unified two-phase models describing both the separated and disperse regimes. It relies on the stationary action principle and interface geometric variables. The main ideas…

Fluid Dynamics · Physics 2025-10-02 Arthur Loison , Teddy Pichard , Samuel Kokh , Marc Massot

Shear-induced droplet formation is important in many industrial applications, primarily focusing on droplet sizes and pinch-off frequency. We propose a one-dimensional mathematical model that describes the effect of shear forces on the…

Fluid Dynamics · Physics 2024-05-30 Darsh Nathawani , Matthew Knepley

Phase separation of two phase separating solutes in a common solvent can result in mesoscale (micron-sized) droplets with complex topologies of the domains of each solute within each droplet. Such topologies have been observed in-vitro in…

Soft Condensed Matter · Physics 2025-07-31 Amit Kumar , Gary H. Karpen , Samuel A. Safran
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