Consider a location where the wind blows at 15 m/s. 2 options with two rows of turbines perpendicular to the prevailing winds all at same hub height are available. 1. 1st row – 12 turbines, each with a rotor dia. of 60 m, with Prated = 1.5 MW. 2nd row 500 m behind the 1st – 12 turbines, each with 60 m rotor dia. Pated = 1.5 MW 2. 1st row – 15 turbines, each with a rotor dia. of 50 m, with Pated = 1 MW. 2nd row 600 m behind the 1st – 12 turbines, each with 60 m rotor dia. Peted = 1.5 MW In each case, consider a = 0.1, C, = 8/9, and operation at sub-rated wind speed, Psub-rated = Prated (Vsubrated/Vrated)³ For each of the 2 options, determine: a) The total power production in MW. %3D

Consider two identical wind turbines with a hub height of 40 m, one located in flat agricultural land and one located above a forest. What is the relative output power for the two turbines if the wind velocity is 10 m/s at a height of 100 m in both cases? Pagricultural/Pforest = ?

-A Francis turbine has a wheel diameter of 1.2 m at the entrance and 0.6 m at the exit. The blade angle at the entrance is 90° and the guide vane angle is 15º. The water at the exit leaves the blades without any tangential velocity. The available head is 30 m and the radial component of flow velocity is constant. If the turbine operates at maximum efficiency, what would be; (a) the speed of the runner in rpm and (b) the blade angle at exit? Neglect friction.

PROBLEM 6 An axial flow pump is required to deliver 1m3/s at 7m head while running at 960 rpm. Its outer diameter is 50 and hub diameter is 25 cm. Find the following (1) flow velocity, which is assumed to be constant from hub to tip, and A 4.59 m/s B 6.791 m/s C-60.7 m/s D.39.3 m/s (2) power required to drive the pump if overall efficiency is 84%, A 81.75 KW B. 12.03 KW C:40.7 KW D.60 9 KW