One Dimensional Momentum Theory and the Betz Limit for Maximum Power Production
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- Опубліковано 12 вер 2024
- In this lecture Prof. Jens N. Sørensen presents a derivation of the Betz limit, which gives the theoretical upper limit for the power production of a horizontal-axis wind turbine. The derivation is based on 1D momentum theory and shows that no more than 59.3% of the available power in the wind can be exploited in the rotor of a wind turbine.
Very well made. Thank you!
Prof Sorenson,
Thanks for a great derivation of the Betz limit. However, I am struggling to understand something - In the control volume analysis slide, in the axial momentum balance, you have a term -mout*U0 representing the axial momentum of the air going out of the domain, ie the red top far-field boundary. I am guessing that the velocity here is (U0, v, 0) where v is a small y component, without which mout =0.
Sam
There is something wrong with Betz limit if kinetic energy in the wind is 1/2 mass or 50% then were can the other 0.926% come from regards Graham Flowers MEng
Can you send answers for week 5
@@narasimha3119 Yes Betz limit is a con from start to finish the wind pushes what it touches it can not push on the gaps between the blades regards Graham Flowers MEng
@@narasimha3119 HAVE YOU COMPLETED THE WEEK5, 6 ASSESMENT