Betz revisited Prof. Guy Houlsby Department of Engineering Science Oxford Tidal Energy Workshop sponsored by the Oxford Martin School 30 th March 2012.

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Presentation transcript:

Betz revisited Prof. Guy Houlsby Department of Engineering Science Oxford Tidal Energy Workshop sponsored by the Oxford Martin School 30 th March 2012

Classical Lanchester-Betz theory –An oversight –An additional calculation –Resolving these problems Betz for an open channel

Calculation Results

Optimal conditions as

PLAN view of channel

Conclusions Anomalies in the original Betz calculation can be resolved by treating it as the limiting case of a confined flow Efficiency can be calculated An “inner and outer” calculation is proposed for flow in a channel