Long waves in inviscid compressible atmosphere II

  • P. L. Sachdev
  • V. S. Seshadri
Article

Abstract

Solitary waves have been found in an adiabatic compressible atmosphere which, in ambient state, has winds and temperature gradient, generalizing our earlier results for the isothermal atmosphere. Explicit results are obtained for the special case of linear temperature and linear wind distributions in the undisturbed conditions. An important result of the study is that the number of possible critical speeds of the flow depends crucially on whether the maximum Richardson number (which is variable in the present example) is greater or less than 1/4.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Abramowitz M and Stegun I A (eds) 1965Handbook of mathematical functions (New York: Dover Publications)Google Scholar
  2. [2]
    Hille E 1969Lectures on ordinary differential equations (Massachusetts: Addison-Wesley) pp. 428–432MATHGoogle Scholar
  3. [3]
    Sachdev P L and Seshadri V S 1979Phys. Fluids 22 60MATHCrossRefGoogle Scholar
  4. [4]
    Seshadri V S 1977 Some analytic approach to nonlinear wave propagation in non-uniform media Ph.D. Thesis, Indian Institute of Science, BangaloreGoogle Scholar

Copyright information

© Indian Academy of Sciences 1982

Authors and Affiliations

  • P. L. Sachdev
    • 1
  • V. S. Seshadri
    • 1
  1. 1.Department of Applied MathematicsIndian Institute of ScienceBangaloreIndia

Personalised recommendations