Nonequilibrium thermodynamics and boundary conditions for reaction and transport in heterogeneous media

Abstract

Nonequilibrium interfacial thermodynamics is formulated in the presence of surface reactions for the study of diffusiophoresis in isothermal systems. As a consequence of microreversibility and Onsager-Casimir reciprocal relations, diffusiophoresis, i.e., the coupling of the tangential components of the pressure tensor to the concentration gradients of solute species, has a reciprocal effect where the interfacial currents of solutes is coupled to the slip velocity. The presence of surface reactions is shown to modify the diffusiophoretic and reciprocal effects at the fluid-solid interface. The thin-layer approximation is used to describe the solution flowing near a reactive solid interface. Analytic formulas describing the diffusiophoretic and reciprocal effects are deduced in the thin-layer approximation and tested numerically for the Poiseuille flow of a solution between catalytic planar surfaces.

References in corpus (2)

• Designing phoretic micro- and nano-swimmers
• Giant amplification of interfacially driven transport by hydrodynamic slip: diffusio-osmosis and beyond

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• Linear and angular motion of self-diffusiophoretic Janus particles
• Quenching to fix metastable states in models of prebiotic chemistry
• Onsager reciprocal relations and chemo-mechanical coupling for chemically-active colloids