Progress in Industrial Mathematics at ECMI 2008 pp 617-622

Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 15) | Cite as

Similarity Solutions for Unsteady Rivulets

  • Y. M. Yatim
  • S. K. Wilson
  • B. R. Duffy
  • R. Hunt
Chapter

Summary

Similarity solutions representing unsteady gravity-driven flow of thin slender non-uniform rivulets down an inclined plane are described.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Duffy, B.R., Moffatt, H.K.: Euro. J. Appl. Math. 8, 37–47 (1997)MATHMathSciNetGoogle Scholar
  2. 2.
    Huppert, H.E.: J. Fluid Mech. 121, 43–58 (1982)CrossRefGoogle Scholar
  3. 3.
    Huppert, H.E.: Nature 300, 427–429 (1982)CrossRefGoogle Scholar
  4. 4.
    Lister, J.R.: J. Fluid Mech. 242, 631–653 (1992)MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Pattle, R.E.: Q. Jl Mech. Appl. Math. 12, 407–409 (1959).MATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    Smith, P.C.: J. Fluid Mech. 58, 275–288 (1973)MATHCrossRefGoogle Scholar
  7. 7.
    Smith, S.H.: J. Appl. Math. Phys. 20, 556–560 (1969)MATHCrossRefGoogle Scholar
  8. 8.
    Wilson, S.K., Duffy, B.R.: J. Engng. Math. 42, 359–372 (2002)MATHCrossRefMathSciNetGoogle Scholar
  9. 9.
    Wilson, S.K., Duffy, B.R., Hunt, R.: Q. Jl Mech. Appl. Math. 55, 385–408 (2002)MATHCrossRefMathSciNetGoogle Scholar
  10. 10.
    Zel’dovich, Ya.B., Kompaneets, A.S.: Izv. Akad. Nauk SSSR 61–71 (1950)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Y. M. Yatim
    • 1
  • S. K. Wilson
    • 1
  • B. R. Duffy
    • 1
  • R. Hunt
    • 1
  1. 1.Department of MathematicsUniversity of StrathclydeGlasgowUnited Kingdom

Personalised recommendations