In gas turbines, non-dimensional parameters are not those implied in your reply. Also, please note fan laws do no apply for gas turbine compressors. Compressor and turbines characteristics are therefore plotted on a Mach number basis because they are valid for all pressure and temperatures encountered in gas turbines provided the flow is turbulent, which is the normal case for industrial units. The non-dimensional groups for flow are W*((ZRT/k) ^0.5)/AP and for speed ND/ (ZkRT) ^0.5 and know as non-dimensional mass flow and speed respectively.
W = Inlet mass flow rate kg/s
Z = Inlet compressibility factor
R = gas constant (kJ/kgK)
T = Inlet temperature (K)
P = Pressure (Pa or Bars)
k = cp/cv at inlet
D = rotor diameter (m)
A = Inlet area (m^2)
These non-dimensional parameters are in fact Mach numbers at inlet to the compressor or turbine. You can refer to GT Theory and GT Performance for more details on representation of gas turbine component on a non-dimensional basis. The presence of P, T R and Z now allow for density effects. That’s what I meant that density effects ARE allowed in these parameters.
Consider a rapid (transient) increase in compressor inlet temperature (T). The compressor non-dimensional speed (ND/ (ZkRT) ^0.5 decreases for a given mechanical speed N (i.e. the aerodynamic speed decreases, cause in the compressor inlet mass flow to decrease rapidly and can result in surge). The change in pressure does not affect the compressor non-dimensional speed a great deal because Z, k and R are nor affected a great deal at normal working pressure and temperatures that occur in gas turbines. Thus transient pressure changes are unlikely to cause surge. Also, these parameters are often omitted and the resultant parameters are called the quasi non-dimensional parameters (please see GT Performance). In the steady state gas turbines can and do operate over a wide range of ambient temperatures without any problems including the ambient range stated in the question
Compressor characteristics based on these parameters clearly define the stable part of the compressor for all pressures, temperatures and speeds. Therefore, regions where we cannot operate due to surge are clearly defined by such maps.
My point was if surge was a problem at the operating conditions stated in the question then damage would result particularly in gas turbines. This is because the pressure ratios and thus temperature ratios are quite large in gas turbine compressors. Therefore during surge the compressor discharge temperature increases significantly and can cause severe damage, where compressor blades can even melt. That’s why I inquired ‘how do we know that compressor surge has occurred’.
It is hard to say much about this problem on the information so far provided. However, if the compressor has deteriorated in performance then surge line will drift further into the stable operating range. This is particularly so if the clearance between the rotors and casing has increased due to rubs. Also, the operating point on the compressor map will now move towards surge due to the loss in compressor efficiency. These factors have to be quite severe before the problem described occurs (i.e. a significant loss is compressor performance has to occur).
I trust the above helps!
Regards,
gtsim