On the Shear Flow Instability in the β-Plane

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Published: 2009-03-15
Keywords:
Shear Flow, β-plane

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Subodh Kumar Rana
Department of Mathematics, V.V.(P.G.) College Shamli –247776, India
Ruchi Goel
Department of Mathematics, D.N. (P.G.) College Meerut, India
Ruchi Goel
Department of Mathematics, D.N. (P.G.) College Meerut, India
S. C. Agrawal
Department of Mathematics C.C.S. University, Meerut, India

Abstract

In this chapter, the stability of a parallel zonal flow of an incompressible, inviscid fluid in the β-plane has been critically examined
for non-oscillatory modes. Necessary condition for instability and the condition for the temporal growth rate ni of unstable modes have been obtained. Other important results include the temporal growth rate for unstable modes, condition for the non-existence for non-oscillatory modes and necessary condition for the existence of non-oscillatory unstable modes.

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Vol. 13 No. 1 (2009): Table of Content

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How to Cite

1.
On the Shear Flow Instability in the β-Plane. J. Int. Acad. Phys. Sci. [Internet]. 2009 Mar. 15 [cited 2026 Oct. 23];13(1):63-72. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/155