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Related papers: Second gradient poromechanics

200 papers

Depletion of the liquid density near a solid surface with a weak long-range fluid-surface interaction was studied by computer simulations of the liquid-vapor coexistence of a LJ fluid confined in slitlike pores. In a wide temperature range…

Statistical Mechanics · Physics 2015-06-25 A. Oleinikova , I. Brovchenko , A. Geiger

We consider the dynamic Biot model (see [Biot, M. A. J. Appl. Phys. 33, 1482--1498 (1962)]) describing the interaction between fluid flow and solid deformation including wave propagation phenomena in both the liquid and solid phases of a…

Numerical Analysis · Mathematics 2025-07-29 Johannes Kraus , Maria Lymbery , Kevin Osthues

An approximation within Wertheim's second order perturbation theory is proposed which allows for the development of a general solution for pure component fluids with an arbitrary number and functionality of association sites. The solution…

Soft Condensed Matter · Physics 2021-10-12 B. D. Marshall

The self-sustained motion of fluids on gradient substrates is a spectacular phenomenon, which can be employed and controlled in applications by carefully engineering the substrate properties. Here, we report on a design of a gel substrate…

Fluid Dynamics · Physics 2024-08-22 R. Kajouri , P. E. Theodorakis , A. Milchev

A quasistatic nonlinear model for poro-visco-elastic solids at finite strains is considered in the Lagrangian frame using the concept of second-order nonsimple materials. The elastic stresses satisfy static frame-indifference, while the…

Analysis of PDEs · Mathematics 2023-06-27 Willem J. M. van Oosterhout , Matthias Liero

The "double diffusivity" model was proposed in the late 1970s, and reworked in the early 1980s, as a continuum counterpart to existing discrete models of diffusion corresponding to high diffusivity paths, such as grain boundaries and…

Soft Condensed Matter · Physics 2017-06-07 Amit K Chattopadhyay , Elias C Aifantis

Double porosity models for the liquid filtration in a naturally fractured reservoir is derived from the homogenization theory. The governing equations on the microscopic level consist of the stationary Stokes system for an incompressible…

Analysis of PDEs · Mathematics 2009-03-05 Anvarbek Meirmanov

Understanding fluid movement in multi-pored materials is vital for energy security and physiology. For instance, shale (a geological material) and bone (a biological material) exhibit multiple pore networks. Double porosity/permeability…

Numerical Analysis · Mathematics 2024-01-30 K. B. Nakshatrala

As a first step towards a microscopic understanding of the effective interaction between colloidal particles suspended in a solvent we study the wetting behavior of one-component fluids at spheres and fibers. We describe these phenomena…

Condensed Matter · Physics 2015-06-25 T. Bieker , S. Dietrich

This paper deals with the numerical modeling of wave propagation in porous media described by Biot's theory. The viscous efforts between the fluid and the elastic skeleton are assumed to be a linear function of the relative velocity, which…

Fluid Dynamics · Physics 2015-05-20 Guillaume Chiavassa , Bruno Lombard

Fractured porous media or double porosity media are common in nature. At the same time, accurate modeling remains a significant challenge due to bi-modal pore size distribution, anisotropy, multi-field coupling, and various flow patterns.…

Geophysics · Physics 2024-06-13 Qi Zhang , Xia Yan , Jianli Shao

A numerical study of multi-phase granular materials based upon micro-mechanical modelling is proposed. Discrete element simulations are used to investigate capillary induced effects on the friction properties of a granular assembly in the…

Materials Science · Physics 2012-03-07 L. Scholtès , B. Chareyre F. Nicot , F. Darve

The role of thermodynamics in continuum mechanics and the derivation of the proper constitutive relations is a discussed subject of Rational Mechanics. The classical literature did not use the accumulated knowledge of thermostatics and was…

Statistical Mechanics · Physics 2020-09-02 Peter Ván

Evaporating colloidal droplets have long been used as model systems to understand capillarity, interfacial transport, and particle assembly, most prominently through the coffee ring effect. In classical descriptions, suspended particles are…

Soft Condensed Matter · Physics 2026-05-15 Meneka Banik , Ranjini Bandyopadhyay

We introduce a model of granular matter and use a stress ensemble to analyze shearing. Monte Carlo simulation shows the model to exhibit a second order phase transition, associated with the onset of dilatancy.

Soft Condensed Matter · Physics 2015-05-18 David Aristoff , Charles Radin

Poroelasticity can be classified with geophysics and describes the interaction between solids deformation and the pore pressure in a porous medium. The investigation of this effect is anywhere interesting where a porous medium and a fluid…

Geophysics · Physics 2025-06-06 Bianca Kretz , Willi Freeden , Volker Michel

We employ a novel fluid-particle model to study the shearing behavior of granular soils under different saturation levels, ranging from the dry material via the capillary bridge regime to higher saturation levels with percolating clusters.…

Soft Condensed Matter · Physics 2016-06-17 Konstantin Melnikov , Falk K. Wittel , Hans J. Herrmann

The physics of liquids in porous media gives rise to many interesting phenomena, including imbibition where a viscous fluid displaces a less viscous one. Here we discuss the theoretical and experimental progress made in recent years in this…

Materials Science · Physics 2015-06-24 Mikko Alava , Martin Dubé , Martin Rost

We explore the pressure of active particles on curved surfaces and its relation to other interfacial properties. We use both direct simulations of the active systems as well as simulations of an equilibrium system with effective (pair)…

Soft Condensed Matter · Physics 2019-05-14 René Wittmann , Frank Smallenburg , Joseph M. Brader

This study presents a first-principles model to predict the two-phase pressure drop in gas-liquid intermittent flow through round capillaries, which serve as the simplest analogous of a porous medium. Building upon the classical capillary…

Fluid Dynamics · Physics 2025-10-15 Paolo Botticini , Davide Picchi , Santanu Sinha , Alex Hansen