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We show that an electric field parallel to an electrically neutral surface can generate flow of electrolytic mixtures in small channels. We term this solvo-osmotic flow, since the flow is induced by the asymmetric preferential solvation of…

Fluid Dynamics · Physics 2017-05-24 Sela Samin , René van Roij

Exact solutions to the equations of hydrodynamics provide valuable benchmark tests for numerical hydrodynamic codes and also provide useful insights into the nature of hydrodynamic flow. In this paper, we introduce two novel, closely…

Nuclear Theory · Physics 2024-02-07 Owen Bradley , Christopher Plumberg

A recent experiment driving colloids electromagnetically, by B\'erut et al. [2014 Europhys. Lett. 107, 60004], is an ideal paradigm for illustrating a linear response theory for nonequilibrium overdamped systems including hydrodynamic…

Statistical Mechanics · Physics 2016-03-22 Cem Yolcu , Marco Baiesi

The basic ingredients of osmotic pressure are a solvent fluid with a soluble molecular species which is restricted to a chamber by a boundary which is permeable to the solvent fluid but impermeable to the solute molecules. For macroscopic…

Soft Condensed Matter · Physics 2023-02-28 P. J. Atzberger , P. R. Kramer

The concept of the partial osmotic pressure of ions in an electrolyte solution is critically examined. In principle these can be defined by introducing a solvent-permeable wall and measuring the force per unit area which can certainly be…

Soft Condensed Matter · Physics 2022-12-09 Patrick B. Warren

The solution of a momentum conservation equation for the gas and liquid stream in the flowing element is obtained on the basis of the modern approach to a problem on contact interaction of bodies and mediums. A flowing element, system are:…

Fluid Dynamics · Physics 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik

The movement of ionic solutions is an essential part of biology and technology. Fluidics, from nano- to micro- to microfluidics, is a burgeoning area of technology which is all about the movement of ionic solutions, on various scales. Many…

Quantitative Methods · Quantitative Biology 2018-06-08 Shixin Xu , Bob Eisenberg , Zilong Song , Huaxiong Huang

Cononsolvency is a phenomenon for which the solubility of a macromolecule decreases or even vanishes in the mixture of two good solvents. Although it has been widely applied in physicochemical, green chemical and pharmaceutical industry,…

Flow instability and turbulent transition can be well explained using a new proposed theory--Energy gradient theory [1]. In this theory, the stability of a flow depends on the relative magnitude of energy gradient in streamwise direction…

Fluid Dynamics · Physics 2007-05-23 Hua-Shu Dou

A simple exactly solvable kinetic model for the non-linear inelastic hard sphere Boltzmann equation is used to explore the relevance of hydrodynamics for a granular gas. The equation predicts a non-trivial homogeneous cooling state (HCS),…

Soft Condensed Matter · Physics 2007-05-23 Aparna Baskaran , James W. Dufty

Within the framework of variational modelling we derive a one-phase moving boundary problem describing the motion of a semipermeable membrane enclosing a viscous liquid, driven by osmotic pressure and surface tension of the membrane. For…

Analysis of PDEs · Mathematics 2019-02-20 Friedrich Lippoth , Mark A. Peletier , Georg Prokert

Simplest extensions of single particle dynamics in momentum conserving active fluid - that of an active suspension of two colloidal particles or a single particle confined by a wall - exhibit strong departures from Boltzmann behavior,…

Soft Condensed Matter · Physics 2019-12-18 Amit Singh Vishen , Jacques Prost , Madan Rao

We derive from kinetic theory, fluid mechanics, and thermodynamics the minimal continuum-level equations governing the flow of a binary, non-electrolytic mixture in an isotropic porous medium with osmotic effects. For dilute mixtures, these…

Statistical Mechanics · Physics 2014-11-20 Silvana S. S. Cardoso , Julyan H. E. Cartwright

We develop a model for the thermodynamics and evaporation dynamics of aerosol droplets of a liquid such as water, surrounded by the gas. When the temperature and the chemical potential (or equivalently the humidity) are such that the vapour…

Soft Condensed Matter · Physics 2023-11-23 A. J. Archer , B. D. Goddard , R. Roth

We derive mathematical models of the elementary process of dissolution/growth of bubbles in a liquid under pressure control. The modeling starts with a fully compressible version, both for the liquid and the gas phase so that the entropy…

Fluid Dynamics · Physics 2014-03-04 Dieter Bothe , Kohei Soga

Why reaction rate constants for enzymatic reactions are typically inversely proportional to fractional power exponents of solvent viscosity remains to be already a thirty years old puzzle. Available interpretations of the phenomenon invoke…

Biomolecules · Quantitative Biology 2015-05-14 A. E. Sitnitsky

Homogeneous nucleation is formulated within the context of fluctuating hydrodynamics. It is shown that for a colloidal or macromolecular system in the strong damping limit the most likely path for nucleation can be determined by gradient…

Soft Condensed Matter · Physics 2011-10-27 James F. Lutsko

The nonisothermal single-component theory of droplet nucleation (Alekseechkin, 2014) is extended to binary case; the droplet volume V, composition x, and temperature T are the variables of the theory. An approach based on macroscopic…

Chemical Physics · Physics 2015-09-02 Nikolay V. Alekseechkin

'A basic and basically unsolved problem in fluid dynamics is to determine the evolution of rising bubbles and falling drops of one miscible liquid in another' [1]. Here, we address this important literature gap and present the first theory…

Fluid Dynamics · Physics 2023-05-11 Jan Martin Nordbotten , Endre Joachim Lerheim Mossige

We address the investigation of the solvation properties of the minimal orientational model for water, originally proposed by Bell and Lavis. The model presents two liquid phases separated by a critical line. The difference between the two…

Statistical Mechanics · Physics 2015-06-05 Marcia M. Szortyka , Carlos E. Fiore , Marcia C. Barbosa , Vera B. Henriques