As you are aware, compressor maps are normally plotted with pressure ratio VS non-dimensional air or mass flow (W(RT/Gamma)^0.5))/AP) for a series of non-dimensional speeds ND/((GammaRT)^0.5).
W = mass flow rate
R = gas constant
Gamma = cp/cv (ratio of specific heats)
T = absolute temperature
P = pressure
A = Reference flow area
D = reference diameter
These non-dimensional terms, flows and speed are indeed Mach numbers. At any given speed when the compressor inlet approaches chokes the Mach number approaches unity (note the compressor inlet is not choked and when the inlet chokes all the speed lines will collapse to a single line). Therefore non-dimensional flow is nearly constant and this is why the speed line becomes vertical in the “choked” region of the compressor map. For any given value of P and T, W will be constant. The compressor speed is influenced by the shape of the compressor characteristic and therefore choked condition will influence the compressor speed. However, system characteristics (e.g. losses and restrictions upstream and down stream of the compressor) will also influence the compressor speed. Increasing the compressor speed when operating in the “choked” region will increase the non-dimensional flow and therefore mass flow rate W.
Operating in the choked region of the compressor map is undesirable because we encounter shock stall and this can give rise to vibration and should be avoided. However, gas turbine compressors (axial types) are often designed to run near choke conditions all the way up to surge. This is done to achieve the maximum mass flow rate thus maximising thrust or power output.
Merry Christmas and Happy New Year to Everyone.
Regards,
gtsim