Skip to main content

Some applications of singular perturbations to problems in fluid mechanics

  • 514 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 594)

Keywords

  • Reynolds Number
  • Central Limit Theorem
  • Adjacent Segment
  • Couette Flow
  • Integral Scale

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  • Cole, J. D. (1968) Perturbation Methods in Applied Mechanics, Waltham, Massachusetts, Blaisdell.

    MATH  Google Scholar 

  • Kevorkian, J. (1965) The two variable expansion procedure for the approximate solution of certain non-linear differential equations. Seattle, University of Washington.

    Google Scholar 

  • Kolmogorov, A. N. (1941) Local structure of turbulence in an incompressible fluid at very high Reynolds numbers, Doklady ANSSSR, Vol. 30, No. 4, pp. 299–303.

    Google Scholar 

  • Lumley, J. L. (1971) Some Comments on the Energy Method, Developments in Mechanics, Vol. 6, Notre Dame, The University Press, pp. 63–87.

    Google Scholar 

  • Lumley, J. L. (1972a) On the solution of equations describing small scale deformation, Symposia Matematica del Istituto Nazionale di Alta Matematica, Volume IX. New York/London, Academic Press, pp. 315–334.

    Google Scholar 

  • Lumley, J. L. (1972b) Application of central limit theorems to turbulence problems, Statistical Models and Turbulence: Lecture Notes in Physics, Vol. 12, New York, Springer Verlag, pp. 1–26.

    MATH  Google Scholar 

  • Lumley, J. L. (1977) Drag reduction in two phase and polymer flow, The Physics of Fluids Supplement, to be published.

    Google Scholar 

  • Monin, A. S. and A. M. Yaglom (1971) Statistical Fluid Mechanics, Vol. 1, Cambridge, The M.I.T. Press.

    Google Scholar 

  • Prandtl, L. (1904) Über Flüssigkeitsbevegung bei sehr kleiner Reibung, Proceedings of the Third Intern. Math. Kongr. Heidelberg. Reprinted in "Vier Abhandl. zur Hydro-u. Aerodynamik," Gottingen 1927; NACA Tech. Memo 452 (1928).

    Google Scholar 

  • Tennekes, H. and J. L. Lumley (1972) A First Course in Turbulence, Cambridge, The M.I.T. Press.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1977 Springer-Verlag

About this paper

Cite this paper

Lumley, J.L. (1977). Some applications of singular perturbations to problems in fluid mechanics. In: Brauner, CM., Gay, B., Mathieu, J. (eds) Singular Perturbations and Boundary Layer Theory. Lecture Notes in Mathematics, vol 594. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086096

Download citation

  • DOI: https://doi.org/10.1007/BFb0086096

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08258-3

  • Online ISBN: 978-3-540-37340-7

  • eBook Packages: Springer Book Archive