J. Phys. II France
Volume 6, Numéro 8, August 1996
Page(s) 1219 - 1227
DOI: 10.1051/jp2:1996126
J. Phys. II France 6 (1996) 1219-1227

Stability of a Liquid Film Flowing down a Rotating Cylinder Subject to Azimuthal Disturbances

G. Ruiz-Chavarría1 and L.A. Dàvalos-Orozco2

1  Facultad de Ciencias, Universidad Nacional Autónoma de México, 04510 México D. F., México
2  Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Apartado Postal 70-360, Delg. Coyoacán, 04510 México D. F., México

(Received 11 September 1995, revised 5 March 1996, accepted 6 May 1996)

The growth rate of instability for the azimuthal modes $m=\pm 1$ of a fluid layer flowing down the inside and the outside of a slowly rotating cylinder is obtained analytically in the long-wave approximation. Here in contrast to a previous paper (Phys. Fluids A 5 (1993) 2390) the effects of the Coriolis force have been included. It is found that in some circumstances the mode m=-1 is the most unstable. It is shown that the results for these modes without rotation have the linear results of Shlang and Sivashinsky (J. Phys. France 43 (1982) 459) as particular case.

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