For a Pelton wheel turbine theoretical maximum efficiency and the speed factor for maximum efficiency can be obtained from

1
\(\frac{1}{2}(\frac{1+cos \beta _2}{2})\)\(\frac{U}{V_1}\)
2
\(\frac{1}{2}(1- cos \beta _2)\)\(\frac{U}{V_{r1}}\)
3
\(\frac{1}{2}(1+ cos \beta _2)\)\(\frac{U}{V_{1}}\)
4
\(\frac{1}{2}(1+ cos \beta _2)\)\(\frac{U}{V_{r1}}\)

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