OverviewBetz''s law and coefficient of performanceConceptsIndependent discoveriesProofUpper Bounds on wind turbinesEconomic relevancePoints of interest
Returning to the previous expression for power based on kinetic energy: By differentiating with respect to for a given fluid speed v1 and a given area S, one finds the maximum or minimum value for . The result is that reaches maximum value when . Substituting this value results in The power obtainable from a cylinder of fluid with cross-sectional area S and velocity v1 is