  In the study of rotating channel flow, the key dimensionless parameters
typically include the Reynolds number, rotation number, Prandtl number and
buoyancy number. Our research focused on comparing the flow characteristics
between the enlarged model, analyzed under the rotating similarity theory, and
the original channel flow. Significantly different flow behaviors were observed
between these two cases. Through theoretical derivation and dimensional
analysis, we identified a new significant parameter - the centrifugal work
number (CW). This parameter characterizes the ratio of centrifugal work to gas
enthalpy in the rotating channel and plays a crucial role in measuring the
compressibility of fluids within the rotating channel. Additionally, we
utilized large eddy simulation(LES) to validate the impact of the centrifugal
work ratio on the flow state of the rotating channel, thus enhancing the
similarity theory of rotating channel compressible flow.
