Bounds for initial growth rates on a non-geostrophic f-plane with lateral walls

F. W. G. Warren; J. S. A. Green

doi:10.3402/tellusa.v23i2.10374

Bounds for initial growth rates on a non-geostrophic f-plane with lateral walls

Tellus

Volume 23 (1971): Issue 2

By: F. W. G. Warren and J. S. A. Green

Open Access

|Jan 1971

Abstract

Bounds for the growth rate in the non-geostrophic non-hydrostatic baroclinic instability problem of Eady, with or without lateral walls is considered. An application of Fourier transforms and Sturm Liouville contraction shows that the growth rate cannot exceed the largest positive root of the equation

σ⁴ + (N² -1/4n²) σ² -1/4n²f² = 0

where n denotes the vertical wind shear. N is the Và sà -Brunt frequency. A simple physical argument is shown to give the same result.

References

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Articles in this issue

DOI: https://doi.org/10.3402/tellusa.v23i2.10374 | Journal eISSN: 3035-9554

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Language: English

Page range: 143 - 149

Submitted on: Jun 8, 1970

Published on: Jan 1, 1971

Published by: Stockholm University Press

In partnership with: Paradigm Publishing Services

© 1971 F. W. G. Warren, J. S. A. Green, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 23 (1971): Issue 2