Hostname: page-component-848d4c4894-2pzkn Total loading time: 0 Render date: 2024-06-04T01:05:11.972Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Oseen linearization of the swirling-flow boundary layer

Published online by Cambridge University Press:  29 March 2006

K. K. Tam
K. K. Tam
Affiliation:
Department of Mathematics, McGill University, Montreal, Quebec H3C 3G1, Canada
Get access Rights & Permissions [Opens in a new window]

Abstract

The modified Oseen linearization of the swirling-flow boundary layer of a mature hurricane is discussed. Upper and lower solutions for the radial and azimuthal velocity components are constructed in a subdomain by using a comparison theorem. It is shown that the error incurred in these velocity components by using the linear solution is no more than 30% in the subdomain. It is then inferred that the vertical velocity is also approximated to that order.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 75 , Issue 4 , 25 June 1976 , pp. 777 - 790
Copyright
© 1976 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

Carrier, G. F. 1971 Swirling flow boundary layers J. Fluid Mech. 49, 133–144.Google Scholar
Carrier, G. F., Hammond, A. & George, O. 1971 A model of the mature hurricane J. Fluid Mech. 47, 145–170.Google Scholar
Fendell, F. E. 1974 Tropical cyclones Adv. Geophys. 17, 1–100.Google Scholar
Nagumo, M. 1939 Note in Kanzu-Hoteisiki, no. 15. (See also NAGUMO, M. & SIMODA, S. 1951 Note sur l'inégalité différentielle concernant les équations du type parabolique. Proc. Japan Acad. 27, 536–810.)
Nickel, K. 1973 Prandtl's boundary-layer theory from the viewpoint of a mathematician Ann. Rev. Fluid Mech. 5, 405–428.Google Scholar
Walter, W. 1970 Differential and Integral Inequalities. Springer.
Westphal, H. 1949 Zur Abschätzung der Lösungen nichtlinearer parabolischer Differentialgleichungen Math. Z. 51, 690–695.Google Scholar