I want to predict the data of large blade from small similitude. I need scaling up relations to do that.
The similitude length = 300 mm
The prototype length = 7000 mm
There are lots of references that you can find for scaling the horizontal axis wind turbine (HAWT) blades. You might need to specify what type of data you are looking for. As you scale up, you will have different aerodynamic and inertial loads. In larger scales, lead-lag and axial stresses due to inertial loads increases faster than other stresses (e.g. flap-wise, torsional loads); hence, the inertial loads are dominant source of forces on the blade. You can first use the Blade Element Momentum Theory to derive loads and do the stress analysis, and then you can use the derived equations to estimate the desired values at different scales. The BEMT simulations give more accurate results.
Also, you need to use the dimensional analysis and similarity concept for any scaling problem. I recommend you to read Ch. 5 of fluid mechanics 6th edition by Frank M. White. It will help you.
Also, I have attached a number of papers from NREL and other researchers about scaling up wind turbine blades. I hope these help as well.
Dear Ahmed
I am agreed with Naved suggestion. It is helpful for soving your problem
There has long been a debate in the theoretical community about the maximum diameter of a HAWT - at some size, differential turbulence over the length of the blade will cause failure. The last time I checked, 20 MW HAWTs were still considered possible.
NREL indeed is the best source for this kind of information.
a good reference to start with is Chapter 6 of Wind Energy Explained (wind turbine design) section 6.6.3 page 34.
I have attached it below.
Good luck
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