I have enclosed the curves obtained considering different CP for each J and CT , rather than a constant CP as in your case. This is based on the assumption that CT is a function of the thrust, the thrust is function of the power, then you cannot have different CT and J and only one CP.
As you can see this approach follows the trend shown in the document. I used your model, slightly modified in the region of the propeller’s wake, where a denser tessellation is required to get a more defined wake. Also the tesselation of the disk is increased. Propeller rotation is inboard.
I hope this
can help and any comment is welcomed.
Corrado
Here the main passages:
J=V/(n*D) -> n= V/(J*D) [1]
CP= P/(rho*n^3*D^5) [2]
Thrust= prop_efficiency*Power/airspeed [3]
CT= Thrust / (rho*n^2*D^4)= prop_efficiency*P/(airspeed*rho*n^2*D^4) [4]
( Use prop_efficiency=1 , since different values don’t affect the trend you are searching for.)
Since you have three values of CT, for each CT find the value of P that satisfy eq. [4], put the found P value in [2] to obtain CP. Now you have ,for each J, the couple (CT,CP) that, with D, n are the necessary input for VSPAERO.
I hope there are no errors above, but check it as well and good work for your thesis.
Corrado
I left “batch calculation” on only. I used the file I attached last time, but I didn’t save each calculation separately, just record each result and then changing the rotors parameters for the new analysis in the same model. Therefore the curves are derived by such records, taken at three a.o.a. for each case (0,5,10 deg), to speed up the test.
Propellers are rotating inboard down, but it was a random choice.
Corrado