Calculate the average current velocity that is necessary for an 8-m diameter
water turbine with a coefficient of performance of 0.3 to generate 1 MW.

Name: Calculate the average current velocity that is necessary for an 8-m diameter water turbine with a coefficient of performance of 0.3 to generate 1 MW.
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Question

Quizplus · Accepted Answer

The Answer is From equation (13.5)

P = \frac { 1 } { 2 } C A ho v ^ { 3 }

Solving for velocity gives

v = \left[ \frac { 2 P } { \pi r ^ { 2 } ho C } ight] ^ { 1 / 3 }

Substituting values from the problem

v = \left[ \frac { 2 imes 10 ^ { 6 } \mathrm {~W} } { ( 3.14 ) imes ( 4 \mathrm {~m} ) ^ { 2 } imes \left( 1025 \mathrm {~kg} / \mathrm { m } ^ { 3 } ight) imes ( 0.3 ) } ight] ^ { 1 / 3 } = 5.06 \mathrm {~m} / \mathrm { s }

Calculate the Average Current Velocity That Is Necessary for an 8-M