I have a question on the formula used in AirfoilPrep Excel Macro for the Modified TSR.
I have attached one of the latest version published on the forum: AirfoilPrep_v2p0_NACA64_A17.xls
In the macro the Modified TSR is calculated as follows:
Lambda = RPM * pi / 30 * R / (V ^ 2 + (RPM * pi / 30 * R) ^ 2) ^ 0.5
However, I have found that in some papers the Modified TSR is slightly different:
Lambda = RPM * pi / 30 * R / (V ^ 2 + (RPM * pi / 30 * r) ^ 2) ^ 0.5,
(source: Sven Schmitz - Aerodynamics of Wind Turbines - 2019)
so I have modified the Excel macro for my own calculation as follows:
Lambda = RPM * pi / 30 * R / (V ^ 2 + (RPM * pi / 30 * R * rOverR) ^ 2) ^ 0.5
Unfortunately, on the airfoil in this example the difference is not so important but in the cases that I am studying the difference is consistent:
For a CL2D = 1.20, I obtain:
CL3D_standard = 1.91
CL3D_MODIFIED = 1.51
Could you please give me indication on which approach is correct?
Thank you in advance.
AirfoilPrep_v2p0_NACA64_A17.xls (348 KB)