On the Linear Stability of Shear Flows in the β-plane

R.Thenmozhy; N.Vijayan

doi:https://doi.org/10.14445/22315373/IJMTT-V66I6P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P502

On the Linear Stability of Shear Flows in the β-plane

R.Thenmozhy, N.Vijayan

Abstract

The linear stability of parallel zonal flows of an incompressible, inviscid fluid on a β- plane is considered in this paper. For this problem, we derived two parabolic instability regionsfor a class of flows and which intersect with Howard semicircle instability region under some condition.

Keywords

Shear flows, incompressible fluid, β-plane.

References

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[3] J. Pedlosky, Geophysical Fluid Dynamics, Springer-Verlag, New York/Berlin, 1979.
[4] K. Reena Priya, V.Ganesh,On the instability region for the extended Rayleigh problem of hydrodynamic stability, Applied Mathematical Sciences, vol. 9(2015), 2265-2272.
[5] C.G. .Rossby, Relation between variation in the intensity of the zonal circulation of the atmosphere and the displacement of the semipermanent centers of action, Journal of Marine Res., vol.7 (1939), 38-59.
[6] Subodh Kumar Rana, Ruchi Goel, S.C. Agarwal,On the shear flow instability in the β-plane, Journal of International Academy of Physical Sciences, vol.13 (2009), 63-72.

Citation :

R.Thenmozhy, N.Vijayan, "On the Linear Stability of Shear Flows in the β-plane," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 10-16, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P502