Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-29T14:23:17.765Z Has data issue: false hasContentIssue false
  • English
  • Français

Large-amplitude motion of a compressible fluid in the atmosphere

Published online by Cambridge University Press:  28 March 2006

Alfons J. Claus
Alfons J. Claus
Affiliation:
Bell Telephone Laboratories, Whippany, New Jersey
Get access Rights & Permissions [Opens in a new window]

Abstract

Large-amplitude atmospheric flows past mountain ridges are investigated. The flows are assumed to be steady and two-dimensional. Diffusive and viscous effects are neglected but static compressibility is taken into account.

The larger part of the investigation is devoted to the study of waves in the lee of mountain ridges. The major contribution consists in the treatment of the large-amplitude motion. The flows are governed by an equation which turns out to be linear for certain upstream conditions. These conditions impose some restrictions on the wind profile and stratification of the entropy and specific energy far upstream. However, flow patterns representing realistic upstream conditions have been obtained.

A comparison between a compressible flow and an incompressible flow with equivalent upstream conditions is included.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 19 , Issue 2 , June 1964 , pp. 267 - 289
Copyright
© 1964 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Crapper, G. D. 1959 A three dimensional solution for waves in the lee of mountains. J. Fluid Mech., 6, 51–76.Google Scholar
Long, R. R. 1953a Some aspects of the flow of stratified fluids. I. A theoretical investigation. Tellus, 5, 42–7.Google Scholar
Long, R. R. 1953b Some aspects of the flow of stratified fluids. III. Continuous density gradients. Tellus, 7, 342–57.Google Scholar
Long, R. R. 1953c Models of small-scale atmospheric phenomena involving density stratification. Fluid Models in Geophysics, pp. 135–47. Washington: U. S. Gov. Printing Office.
Lyra, G. 1943 Theorie der stationären Leewellenströmung in freier Atmosphäre. Z. angew. Math. Mech., 23, 1–28.Google Scholar
Queney, P. 1947 Theory of perturbations in stratified currents with applications to air flow over mountain barriers. Misc. Rep. No. 23, Dept. Met., Univ. Chicago.Google Scholar
Queney, P. 1948 The problem of air flow over mountains: a summary of theoretical results. Bull. Amer. Met. Soc., 29, 16–25.Google Scholar
Scorer, R. S. 1949 Theory of waves in the lee of mountains. Quart. J. R. Met. Soc., 75, 41–56.Google Scholar
Scorer, R. S. 1953 Theory of air flow over mountains: II. Flow over a ridge. Quart. J. R. Met. Soc., 79, 70–83.Google Scholar
Scorer, R. S. 1954 Theory of air flow over mountains: III. Airstream characteristics. Quart. J. R. Met. Soc., 80, 417–28.Google Scholar
Scorer, R. S. & Wilkinson, M. 1956 Waves in the lee of an isolated hill. Quart. J. R. Met. Soc. 82, 419–27.Google Scholar
Yih, C. S. 1960a A transformation for non-homentropic flows with an application to large amplitude motion in the atmosphere. J. Fluid Mech., 9, 68–90.Google Scholar
Yih, C. S. 1960b Extract solutions for steady two-dimensional flow of a stratified fluid. J. Fluid Mech., 9, 161–74.Google Scholar