Physics
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989pthph..82..523k&link_type=abstract
Progress of Theoretical Physics, Vol. 82, No. 3, pp. 523-534
Physics
2
Scientific paper
To proceed to investigations of the stability of nonhomentropic gases with diffrential rotationto non-axisymmetric perturbations, we examine the incompressible cylinders with a sequence ofdensity distributions. Owing to consideration of the buoyancy, their stability bears an aspect ofgeneral influence of the entropy gradients on the stability. We approach the problem in the twodiffrent ways: an analytic calculation for the cylinders with the infinitesimally small densitygradients and a numerical computation for the cylinders with finite density gradients. We show thatthe density gradients (i) decrease the maximum of the growth rate of each unstable mode and (ii)extend the unstable region. For the thin cylinders, the density gradient suppresses the instability,while it enhances the instability for the thicker cylinders. The property (ii) can be explained by thedescription that each of the pattern speeds of the edge waves which interact with each other isdiminished by the buoyancy.
Kojima Yasufumi
KUBOTANI Hiroto
Miyama Shoken M.
Sekiya Minoru
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