Communications in Mathematical Physics

, Volume 146, Issue 2, pp 217–229 | Cite as

Inertial range scaling of laminar shear flow as a model of turbulent transport

  • Qiang Zhang
  • James Glimm
Article

Abstract

Asymptotic scaling behavior, characteristic of the inertial range, is obtained for a fractal stochastic system proposed as a model for turbulent transport.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Shear Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Avellaneda, M., Majda, A.: Mathematical models with exact renormalization for turbulent transport. Commun. Math. Phys.131, 381–429 (1990)Google Scholar
  2. 2.
    Collins, R. E.: Flow of fluids through porous media. Tubsa, OK: Petroleum 1976Google Scholar
  3. 3.
    Dagan, G.: Flow and transport in porous formations. Berlin, Heidelberg, New York: Springer 1989Google Scholar
  4. 4.
    Glimm, J., Sharp, D. H.: A random field model for anomalous diffusion in heterogeneous porous media. J. Stat. Phys.62, 415–424 (1991)CrossRefGoogle Scholar
  5. 5.
    Lake, L., Carroll, H. (eds): Reservoir characterization. New York: Academic Press 1986Google Scholar
  6. 6.
    McComb, W. D.: The physics of turbulence. Oxford: Oxford University Press 1969Google Scholar
  7. 7.
    McKean, H. P.: Stochastic integrals. New York London: Academic Press 1969Google Scholar
  8. 8.
    Neumann, S. P.: Universal scaling of hydraulic conductivities and dispersivities in geologic media. Water Resources Res.26, 1749–1758 (1990)CrossRefGoogle Scholar
  9. 9.
    Zhang, Q.: A multi-length scale theory of the anomalous mixing length growth for tracer flow in heterogeneous porous media. J. Stat. Phys.66, 485–501 (1992)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Qiang Zhang
    • 1
  • James Glimm
    • 1
  1. 1.Department of Applied Mathematics and StatisticsSUNY at Stony BrookStony BrookUSA

Personalised recommendations