- #1

Al-Layth

- 18

- 1

- TL;DR Summary
- I have a typical 3 bladed HAWT with a known blade and hub geometry along with full knowledge of the initial airflow (density, temp, pressure, speed). How can I model the motion of the turbine (RPM as a function of time) ?

the tldr covers everything I think. I don't expect there will be an analytic solution here lol. but I don't even know where to even begin formulating this problem mathematically. I assume I should find an expression for the initial lift on the blades, multiply by 3 and then model it as a circular motion problem?

But the problem is, that would only be valid for the instant t=0 and no time after it because:

(1) once the blades start moving, the lift per blade will be different too since the blades are now spinning whereas they were stationary at first.

(2) The spinning of the blades might create additional fluid effects that would distort the incoming airflow before it hits the blades.

So I'm mighty confused on how to deal with these issues in mathematical modelling.

But the problem is, that would only be valid for the instant t=0 and no time after it because:

(1) once the blades start moving, the lift per blade will be different too since the blades are now spinning whereas they were stationary at first.

(2) The spinning of the blades might create additional fluid effects that would distort the incoming airflow before it hits the blades.

So I'm mighty confused on how to deal with these issues in mathematical modelling.