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Unsymmetrical symmetric instability
Author(s) -
Sun WenYih
Publication year - 1995
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49712152209
Subject(s) - instability , latitude , hydrostatic equilibrium , physics , earth's rotation , growth rate , northern hemisphere , rotation (mathematics) , atmospheric sciences , perturbation (astronomy) , mechanics , mathematics , geometry , astronomy
A northward component of the earth's rotation ( b ‐effect) is included in a set of linearized, non‐hydrostatic equations to study symmetric instability. The results show that the b ‐effect can be important if the perturbations are functions of the latitude. In comparison with the conventional symmetric instability, results also show that, in the northern hemisphere, when the temperature increases with latitude, the growth rate can be enhanced by the b ‐effect, and the growth rate decreases when the temperature decreases with latitude. We also find that when the perturbations are independent of latitude, the b ‐effect disappears. The physical explanation is provided.