Viscous Stability Criterion for Hydrodynamic Differential Rotation

Zinab M.  Maatoug; Hana N.  Albibas; Bashir W.  Sharif; Ali M.  Awin

doi:10.24297/ijct.v23i.9363

Authors

Zinab M. Maatoug Department of Mathematics, Faculty of Education, University of Tripoli- Genzor, Libya
Hana N. Albibas Department of Mathematics, Faculty of Education, University of Tripoli- Genzor, Libya
Bashir W. Sharif Department of Mathematics, Faculty of Science, University of Tripoli, Libya
Ali M. Awin Department of Mathematics, Faculty of Science, University of Tripoli, Libya

DOI:

https://doi.org/10.24297/ijct.v23i.9363

Keywords:

energy, inviscid, viscous, phase velocity, wave number, fluid

Abstract

Viscous stability criterion in a thin layer on a rotating sphere is studied. The case when the fluid is inviscid was explained by Watson in 1981, the work was motivated by the idea suggested by Drazin and Ried in their celebrated text "Hydrodynamic Stability"; here we will investigate the model worked out by B. Sherif and C. Jones in the year 2005, and show the necessary condition for instability which depends on the energy that is provided by the shear motion of the fluid in spherical thin layer.

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