An inward flow reaction turbine rotates at 420 rpm. The wheel vanes are radial at the inlet and the inner diameter of the wheel is one-third of the outer diameter. The constant velocity of flow in the...

An inward flow reaction turbine rotates at 420 rpm. The wheel vanes are radial at the inlet and the inner diameter of the wheel is one-third of the outer diameter. The constant velocity of flow in the wheel is 2.8 m/sec. Water enters the wheel at an angle of 150 to the tangent at the wheel at the inlet. The width of the wheel at the inlet is 85 mm and area of flow blocked by vane is 2.5% of the gross area of flow at the inlet. Assuming radial discharge, find: (i) head available, (ii) vane angle at the outlet, (iii) the outer and inner diameter of the wheel, and (iv) the theoretical water power developed by the wheel.