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Revisiting Betz's Theory: Insights into Tidal Energy and Flow Calculations

This presentation by Prof. Guy Houlsby at the Oxford Tidal Energy Workshop examines classical Lanchester-Betz theory. It highlights oversights in the original calculations and proposes an additional framework for resolving these issues. By treating Betz's theory as the limiting case of confined flow, the study provides clarity around efficiency calculations. The talk introduces an "inner and outer" calculation method for analyzing flow in a channel, revealing optimal conditions and addressing anomalies within the original Betz framework, thus enhancing our understanding of tidal energy potentials.

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Revisiting Betz's Theory: Insights into Tidal Energy and Flow Calculations

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Presentation Transcript

  1. Betz revisited Prof. Guy Houlsby Department of Engineering ScienceOxford Tidal Energy Workshopsponsored by the Oxford Martin School30th March 2012

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

  3. Calculation Results

  4. Optimal conditions as

  5. PLAN view of channel

  6. 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

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