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We study analytically the joint dispersion of Gaussian patches of salt and colloids in linear flows, and how salt gradients accelerate or delay colloid spreading by diffusiophoretic effects. Because these flows have constant gradients in…

We examine theoretically the spreading of a viscous liquid drop over a thin film of uniform thickness, assuming the liquid's viscosity is regulated by the concentration of a solute that is carried passively by the spreading flow. The solute…

Fluid Dynamics · Physics 2017-05-09 Feng Xu , Oliver E. Jensen

Instabilities driven by strong gradients appear in a wide variety of physical systems, including plasmas, neutral fluids, and self-gravitating systems. This work develops an analytic formulation to describe the transport structure and…

Plasma Physics · Physics 2025-10-13 Emma G. Devin , Vinícius N. Duarte

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

Solute dispersion due to an instantaneously released source in steady, laminar, axisymmetric flows with an axial inflow and radial outflow is investigated analytically. Attention is given to large-time characteristics of dispersion, where…

Fluid Dynamics · Physics 2024-07-02 Prabakaran Rajamanickam

Both polydispersity and the presence of a gravitational field are inherent to essentially any colloidal experiment. While several theoretical works have focused on the effect of polydispersity on the bulk phase behavior of a colloidal…

Soft Condensed Matter · Physics 2022-12-28 Tobias Eckert , Matthias Schmidt , Daniel de las Heras

Homogenization method is used to analyse the equivalent behavior of transient flow of a passive solute through highly heterogeneous porous media. The flow is governed by a coupled system which includes an elliptic equation and a linear…

Mathematical Physics · Physics 2007-05-23 Brahim Amaziane , Alain Bourgeat , Mladen Jurak

In this work, we perform a comparative study of the size dependence of diffusion of charged and neutral solutes in water. The neutral solute in water shows a nonmonotonicity in the size dependence of diffusion. This is usually connected to…

Soft Condensed Matter · Physics 2018-02-26 Sayantan Acharya , Sarika Maitra Bhattacharyya

The dispersion phenomenon of mass and heat transport in oscillatory flows has wide applications in environmental, physiological and microfluidic flows. The method of concentration moments is a powerful theoretical tool for analyzing…

Fluid Dynamics · Physics 2026-03-27 Weiquan Jiang , Guoqian Chen

Convection-diffusion equations provide the basis for describing heat and mass transfer phenomena as well as processes of continuum mechanics. To handle flows in porous media, the fundamental issue is to model correctly the convective…

Numerical Analysis · Computer Science 2012-08-29 A. Churbanov , P. Vabishchevich

We study the linear stability with respect to lateral perturbations of free surface films of polymer mixtures on solid substrates. The study focuses on the stability properties of the stratified and homogeneous steady film states studied in…

Fluid Dynamics · Physics 2010-10-15 Santiago Madruga , Uwe Thiele

In this paper, we explore various forms of osmotic transport in the regime of high solute concentration. We consider both the osmosis across membranes and diffusio-osmosis at solid interfaces, driven by solute concentration gradients. We…

Soft Condensed Matter · Physics 2017-05-18 Sophie Marbach , Hiroaki Yoshida , Lydéric Bocquet

Understanding transport subject to molecular-scale confinement is key to advancing nanofluidics, yet classical hydrodynamic laws often fail at these scales. Here, we study a model system: transport of toluene as a solvent and small…

Soft Condensed Matter · Physics 2025-06-12 A. Baer , P. Malgaretti , K. Hoellring , J. Harting , Ana-Suncana Smith

We present a comprehensive theoretical and computational model that explores the behavior of a thin hydrated film bonded to a non-hydrated / impermeable soft substrate in the context of surface and bulk elasticity coupled with surface…

Soft Condensed Matter · Physics 2025-05-07 Jaemin Kim , Keon Ho Kim , Nikolaos Bouklas

Microparticles migrate in response to gradients in solute concentration through diffusiophoresis and diffusioosmosis. Merging streams of fluid with distinct solute concentrations is a common strategy for producing a steady concentration…

Fluid Dynamics · Physics 2023-06-01 Robben E. Migacz , Guillaume Durey , Jesse T. Ault

When polydisperse granular systems are sheared, the transverse dynamics is characterized by the interplay of size segregation and diffusion. Segregation in nonuniform and confined shearing flows is studied using annular shear cell…

Other Condensed Matter · Physics 2026-01-29 Santiago Caro , Riccardo Artoni , Patrick Richard , Michele Larcher , James T. Jenkins

We study the interaction-induced migration of bubbles in shear flow and observe that bubbles suspended in elastoviscoplastic emulsions organise into chains aligned in the flow direction, similarly to particles in viscoelastic fluids. To…

Soft Condensed Matter · Physics 2023-04-25 Blandine Feneuil , Kazi Tassawar Iqbal , Atle Jensen , Luca Brandt , Outi Tammisola , Andreas Carlson

Recently, Roht et al. [J. Contam. Hydrol. 145, 10-16 (2013)] observed that the presence of suspended non-Brownian macroscopic particles decreased the dispersivity of a passive solute, for a pressure-driven flow in a narrow parallel-plates…

Fluid Dynamics · Physics 2015-03-17 A. Boschan , M. A. Aguirre , G. Gauthier

The effects of surfactant coating on a deformable viscous drop under the combined action of a shear flow and a uniform electric field, are investigated by solving the coupled equations of electrostatics, fluid flow and surfactant transport.…

Fluid Dynamics · Physics 2019-10-30 Antarip Poddar , Shubhadeep Mandal , Aditya Bandopadhyay , Suman Chakraborty

We address the description of solutes flow with trapping processes in porous media. Starting from a small-scale model for tracer particles trajectories, we derive the corresponding governing equations for the concentration of the mobile and…

Statistical Mechanics · Physics 2010-01-18 Marie-Christine Néel , Andrea Zoia , Maminirina Joelson