Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-05-21T21:30:02.185Z Has data issue: false hasContentIssue false

Neutral curves and stability boundaries in stratified flow

Published online by Cambridge University Press:  28 March 2006

Louis N. Howard
Affiliation:
Mathematics Department, Massachusetts Institute of Technology

Abstract

An example is presented which shows that the boundary of stability in an antisymmetric stratified shear flow is not necessarily marked by steady neutral waves with c = 0. The stability characteristics of stratified shear flow in the neighbourhood of the neutral curve are also discussed.

Type
Research Article
Copyright
© 1963 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

Drazin, P. G. & Howard, L. N. 1961 Stability in a continuously stratified fluid. J. Engng Mech. Div., Amer. Soc. Civil Engrs, 87, 101.Google Scholar
Drazin, P. G. & Howard, L. N. 1962 The instability to long waves of unbounded parallel inviscid flow. J. Fluid Mech. 14, 257.Google Scholar
Holmboe, J. 1962 On the behaviour of symmetric waves in stratified shear layers. Geofysiske Publikasjoner, Geophysica Norvegica, 24, no. 2Google Scholar
Howard, L. N. 1961 Note on a paper of John W. Miles, J. Fluid Mech. 10, 509.Google Scholar
Lin, C. C. 1955 The Theory of Hydrodynamic Stability. Cambridge University Press.
Miles, J. W. 1961 On the stability of heterogeneous shear flows. J. Fluid Mech. 10, 496.Google Scholar
Miles, J. W. 1963 On the stability of heterogeneous shear flows, Part 2. J. Fluid Mech. 16, 209.Google Scholar