Propagating modes in a binary liquid mixture under thermal stress

Fabrizio Croccolo, Loreto García-Fernández, Henri Bataller, Alberto Vailati, and José María Ortiz de Zárate
Phys. Rev. E 99, 012602 – Published 3 January 2019

Abstract

Nonequilibrium temperature and concentration fluctuations inside a binary liquid mixture under the action of a temperature gradient relax back to equilibrium either due to conduction and diffusion at large wave numbers, or due to the quenching determined by gravity at small wave numbers. We investigate the dynamics of nonequilibrium fluctuations in a binary liquid mixture of polystyrene and toluene heated from above under stationary conditions in a thermodiffusion experiment. We show that the strong gravitational stabilization at small wave numbers determines the appearance of propagating modes of nonequilibrium fluctuations as detected through the structure function of shadowgraph images. The propagating modes are the combined effect of temperature and velocity nonequilibrium fluctuations induced by the buoyancy force. The experimental results are in good agreement with a fluctuating hydrodynamics theroretical model including the coupling of fluctuations of velocity, temperature and concentration.

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  • Received 10 August 2018
  • Revised 28 September 2018

DOI:https://doi.org/10.1103/PhysRevE.99.012602

©2019 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Fabrizio Croccolo1,*, Loreto García-Fernández1, Henri Bataller1, Alberto Vailati2, and José María Ortiz de Zárate3

  • 1Laboratoire des Fluides Complexes et leurs Réservoirs, IPRA, UMR5150, E2S-Univ Pau & Pays Adour/CNRS/Total, 64600 Anglet, France
  • 2Universitá degli Studi di Milano, Via Celoria 13, 20013 Milano, Italy
  • 3Departamento de Estructura de la Materia, Física Térmica y Electrónica, Facultad de Ciencias Físicas, Universidad Complutense de Madrid, 28040 Madrid, Spain

  • *fabrizio.croccolo@univ-pau.fr

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Vol. 99, Iss. 1 — January 2019

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