H. Cornille et Pa. Bois, A MATHEMATICAL-MODELING OF ROTATING WAVES IN AXIAL AND RADIAL COMPRESSORS, Archive of applied mechanics, 67(1-2), 1996, pp. 2-14
A comparison between meteorological systems and fluid motions through
compressors is proposed. A mathematical analysis analogous to the geop
hysical one emphasizes characteristic dimensions. A dimensionless kine
matic parameter, akin to the Rossby number, emerges, and thus leads to
the study of different cases. Two kinds of solutions of rotating wave
s are presented here. The first describes a Rossby wave propagation in
compressors, and the second depicts a limit form of part-span stall.