Dimensional analysis
Similarity of compressible fluid turbomachines

The laws of similitude for compressible fluids lead to simple relationships only if the gas is ideally perfect: this assumption is retained in the rest of the development.

Under these conditions, the operation of a compressible fluid turbomachine is defined by the following variables:

• the machine's geometric dimensions, which are characterized by a reference lengthR ; this is often the wheel's outer radius ;

• the nature of the fluid, characterized by :

  • the perfect gas constant...