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Cerbino R, Mazzoni S, Vailati A, et al. Scaling behavior for the onset of convection in a colloidal suspension. Phys Rev Lett. 2005;94(6):064501doi: 10.1103/PhysRevLett.94.064501.
Cerbino, R., Mazzoni, S., Vailati, A., & Giglio, M. (2005). Scaling behavior for the onset of convection in a colloidal suspension. Physical review letters, 94(6), 064501. https://doi.org/10.1103/PhysRevLett.94.064501
Cerbino, Roberto, et al. "Scaling behavior for the onset of convection in a colloidal suspension." Physical review letters vol. 94,6 (2005): 064501. doi: https://doi.org/10.1103/PhysRevLett.94.064501
Cerbino R, Mazzoni S, Vailati A, Giglio M. Scaling behavior for the onset of convection in a colloidal suspension. Phys Rev Lett. 2005 Feb 18;94(6):064501. doi: 10.1103/PhysRevLett.94.064501. Epub 2005 Feb 18. PMID: 15783735.
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Phys Rev Lett. 2005 Feb 18;94(6):064501. doi: 10.1103/PhysRevLett.94.064501. Epub 2005 Feb 18.

Scaling behavior for the onset of convection in a colloidal suspension.

Physical review letters

Roberto Cerbino, Stefano Mazzoni, Alberto Vailati, Marzio Giglio

Affiliations

  1. Istituto Nazionale per la Fisica della Materia and Dipartimento di Fisica, Università degli Studi di Milano, via Celoria 16, 20133 Milano, Italy.

PMID: 15783735 DOI: 10.1103/PhysRevLett.94.064501

Abstract

We investigate the early stages of mass convection in a colloidal suspension at high solutal Rayleigh number Ras. From the time evolution of shadowgraph images and by assuming a diffusive growth of the boundary layers we obtain an indirect measurement of the concentration boundary layer thickness delta* at the onset of convection. We show that the dimensionless boundary layer thickness delta=delta*/d scales as Ra-ps, where Ras=Rasdelta is a modified solutal Rayleigh number for convection which accounts for the actual density unbalance and d is the thickness of the sample layer. This scaling behavior is analogous to that reported at steady state for turbulent convection in simple fluids. We find p=0.35, a value compatible with the exponent 1/3, reported for turbulent heat convection in simple fluids at steady state.

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