Abstract
On hand of several experiments, it is shown how a stirred scalar mixture relaxes towards uniformity through an aggregation process. The elementary bricks are stretched sheets whose rates of diffusive smoothing and coalescence built up the overall mixture concentration distribution. The cases studied in particular include the ever dispersing mixture, and the confined mixture in two and three dimensions.
Mélange. s. m. Il se dit de l’aggrégation de plusieurs choses diverses.
Encyclopédie, Diderot et d’Alembert, Paris, 1753.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Batchelor, G. K. An Introduction to Fluid Dynamics. Cambridge University Press, 1967.
Curl, R. L. 1963 Dispersed phase mixing: I. Theory and effect in simple reactors. AIChE J. 9, (2), 175–181.
Dimotakis, P. E. and Catrakis, H. J. Turbulence, fractals and mixing. in Mixing: Chaos and Turbulence, CHAT, H., VILLERMAUX, E. AND CHOMAZ, J. M. (Eds.), Kluwer Academic/Plenum Publishers, New York, 1999.
Dopazo, C. Recent developments in pdf methods. In Turbulent Reacting Flows, Chapter 7. Libby, P. A. and Williams, F. A. Eds., Academic Press, 1994.
Duplat, J. and Villermaux, E. 2000 Persistency of material element deformation in isotropic flows and growth rate of lines and surfaces. Eur. Phys. J. B 18, 353–361.
Feller, W. An Introduction to Probability Theory and Its Applications. John Wiley and sons, 1970.
Girimaji, S. S. and Pope, S. B. 1990 Material-element deformation in isotropic turbulence. J. Fluid Mech. 220 427–458.
Marble, F. E. 1988 Mixing, diffusion and chemical reaction of liquids in a vortex field Chemical reactivity in liquids: fundamental aspects, Moreau, M. and Turq, P. Editors, Plenum Press.
Marble, F. E. and Broadwell, J. E. 1977 The coherent flame model for turbulent chemical reactions Project SQUID, Tech. Rep. TRW-9-PU.
Ottino, J. M. 1989 The kinematics of mixing: stretching, chaos, andtransport. Cambridge University Press.
Pope, S. B. 1985 Pdf methods for turbulent reacting flows. Prog. Energy Combust. Sci. 11, 119–192.
Pumir, A., Shraiman, B. I. and Siggia, E. D. 1991 Exponential tails and random advection. Phys. Rev. Letters 66, (23), 2984–2987.
Ranz, W. E. 1979 Application of a stretch model to mixing, diffusion and reaction in laminar and turbulent flows. AIChE Journal 25, (1), 41–47.
Shraiman, B. I. and Siggia, E. D. 1994 Lagrangian path integrals and
fluctuations in random flows. Phys. Rev. E 49, 2912–2927.
von Smoluchowski, M. 1917 Versuch einer mathematischen Theorie der
Koagulationskinetik kolloider Lsungen. Z. Phys. Chem. 92, 129–168. Villermaux, E. and Innocenti, C. 1999 On the geometry of turbulent mixing. J. Fluid Mech. 393, 123–145.
Villermaux, E. and Rehab, H. 2000 Mixing in coaxial jets. J. Fluid Mech. 425, 161–185.
Villermaux, E., Innocenti, C. and Duplat, J. 2001 Short circuits in the Corrsin-Oboukhov cascade. Phys. Fluids 13, (1), 284–289.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Villermaux, E. (2002). Mixing as an Aggregation Process. In: Pollard, A., Candel, S. (eds) IUTAM Symposium on Turbulent Mixing and Combustion. Fluid Mechanics and Its Applications, vol 70. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1998-8_1
Download citation
DOI: https://doi.org/10.1007/978-94-017-1998-8_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6074-7
Online ISBN: 978-94-017-1998-8
eBook Packages: Springer Book Archive