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Hydrodynamic properties of confined fluids

Lydéric Bocquet-+ and Jean-Louis Barrat++

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In the present work, we study the dynamical properties of fluids confined at molecular scales. First, we show that, for a fluid confined between two parallel solid walls, the phenomenological hydrodynamic description of bulk fluids holds down to nanoscopic scales, once appropriate boundary conditions at the solid walls are applied. Then, we investigate the influence of confinement on the self-diffusion coefficient (in the direction parallel to the walls) in a fluid slab. We have computed the effect of confinement on the mode-coupling contribution to the diffusion coefficient. These finite-size corrections are shown to reduce the diffusion constant by an amount , where h is the thickness of the fluid slab and the atomic size. This behaviour can be interpreted in terms of the suppression of long-wavelength modes in the backflow effect, due to confinement.


PACS

66.10.C- Diffusion and thermal diffusion

68.15.+e Liquid thin films

47.85.Dh Hydrodynamics, hydraulics, hydrostatics

Subjects

Soft matter, liquids and polymers

Fluid dynamics

Surfaces, interfaces and thin films

Dates

Issue 47 (18 November 1996)

Received 17 July 1996



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