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 follow a mechanical point of view of osmotic transport, which allows us to gain much insight into the local mechanical balance underlying osmosis. We demonstrate in particular how the general expression of the osmotic pressure for mixtures, as obtained classically from the thermodynamic framework, emerges from the mechanical balance controlling non-equilibrium transport under solute gradients. Expressions for the rejection coefficient of osmosis and the diffusio-osmotic mobilities are accordingly obtained. These results generalize existing ones in the dilute solute regime to mixtures with arbitrary concentrations.
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21 May 2017
Research Article|
May 16 2017
Osmotic and diffusio-osmotic flow generation at high solute concentration. I. Mechanical approaches
Sophie Marbach;
Sophie Marbach
a)
1LPS, UMR CNRS 8550, Ecole Normale Supérieure,
PSL Research University
, 24 Rue Lhomond, 75005 Paris, France
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Hiroaki Yoshida
;
Hiroaki Yoshida
b)
1LPS, UMR CNRS 8550, Ecole Normale Supérieure,
PSL Research University
, 24 Rue Lhomond, 75005 Paris, France
2
Toyota Central R&D Labs., Inc.
, Nagakute, Aichi 480-1192, Japan
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Lydéric Bocquet
Lydéric Bocquet
c)
1LPS, UMR CNRS 8550, Ecole Normale Supérieure,
PSL Research University
, 24 Rue Lhomond, 75005 Paris, France
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a)
Electronic mail: sophie.marbach@lps.ens.fr
b)
Electronic mail: h-yoshida@mosk.tytlabs.co.jp
c)
Electronic mail: lyderic.bocquet@lps.ens.fr
J. Chem. Phys. 146, 194701 (2017)
Article history
Received:
March 03 2017
Accepted:
April 03 2017
Connected Content
A companion article has been published:
Osmotic and diffusio-osmotic flow generation at high solute concentration. II. Molecular dynamics simulations
Citation
Sophie Marbach, Hiroaki Yoshida, Lydéric Bocquet; Osmotic and diffusio-osmotic flow generation at high solute concentration. I. Mechanical approaches. J. Chem. Phys. 21 May 2017; 146 (19): 194701. https://doi.org/10.1063/1.4982221
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