G. Ruizchavarria et La. Davalosorozco, STABILITY OF A LIQUID-FILM FLOWING DOWN A ROTATING CYLINDER SUBJECT TO AZIMUTHAL DISTURBANCES, Journal de physique. II, 6(8), 1996, pp. 1219-1227
The growth rate of instability for the azimuthal modes m = +/-1 of a f
luid layer flowing down the inside and the outside of a slowly rotatin
g cylinder is obtained analytically in the long-wave approximation. He
re 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 t
hat the results for these modes without rotation have the linear resul
ts of Shlang and Sivashinsky (J. Phys. France 43 (1982) 459) as partic
ular case.