Abstract
The statistical properties of the passive scalar near walls in random flows assuming a weakness of its diffusion have been investigated. Then, at advanced stages of the passive scalar mixing, its unmixed residue is concentrated in a narrow diffusive layer near the wall. The numerical simulations have revealed the structures responsible for the passive scalar transport to the bulk; these are passive scalar tongues pulled from the diffusive boundary layer. The passive scalar integrated along the wall possesses a well-pronounced scaling behavior. An analytical scheme, giving exponents of the integral passive scalar moments has been proposed. The exponents reasonably agree with the calculations in 3d.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, 1975).
U. Frisch, Turbulence: the Legacy of A. N. Kolmogorov (Cambridge Univ. Press, New York, 1995).
J. M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport (Cambridge Univ. Press, Cambridge, 1989).
A. Groisman and V. Steinberg, Nature 405, 53 (2000); Phys. Rev. Lett. 86, 934 (2001); Nature 410, 905 (2001).
S. K. Friedlander and K. H. Keller, Chem. Eng. Sci. 18, 365 (1963); J. C. Hill, Annu. Rev. Fluid Mech. 8, 135 (1976); R. Chella and J. M. Ottino, Chem. Eng. Sci. 39, 551 (1984).
K. R. Sreenivasan and R. A. Antonia, Annu. Rev. Fluid Mech. 29, 435 (1997).
B. I. Shraiman and E. D. Siggia, Rev. Nature (London) 405, 639 (2000).
G. Falkovich, K. Gawdzki, and M. Vergassola, Rev. Mod. Phys. 73, 913 (2001).
P. K. Yeung, Annu. Rev. Fluid Mech. 34, 115 (2002).
J. Schumacher and K. R. Sreenivasan, Phys. Fluids 17, 125107 (2005).
V. Kantsler and V. Steinberg, Phys. Rev. Lett. 95, 258101 (2005).
R. J. Miller, L. P. Dasi, and D. R. Webster, Exp. Fluids 44, 719 (2008).
M. Chertkov and V. Lebedev, Phys. Rev. Lett. 90, 034501, 134501 (2003).
V. V. Lebedev and K. S. Turitsyn, Phys. Rev. E 69, 036301 (2004).
A. A. Schekochihin, P. H. Haynes, and S. C. Cowley, Phys. Rev. E 70, 046304 (2004).
H. Salman and P. H. Haynes, Phys. Fluids 19, 067101 (2007).
T. Burghelea, E. Serge, and V. Steinberg, Phys. Rev. Lett. 92, 164501 (2004).
E. Gouillart, N. Kuncio, O. Dauchot, et al., Phys. Rev. Lett. 99, 114501 (2007).
Author information
Authors and Affiliations
Additional information
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Chernykh, A., Lebedev, V. Passive scalar structures in peripheral regions of random flows. Jetp Lett. 87, 682–686 (2008). https://doi.org/10.1134/S0021364008120072
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364008120072