PROBLEM 4: As an application of the Magnus effect, a ship is built having two vertical rotors 12m high and 3.2m in diameter. The rotors are spin at 250rpm.on a day when the air temperature is 220C and the relative motion of the air to the ship result in 52kmph wind; determine the force emitted by the spinning rotors on the ship. Take density for the air as 1.25kg/m3 .
SOLUTION:
Force emitted by the spinning rotors, FL:
Circulation generated by the rotation of cylinder is given by
The force perpendicular the wind direction developed by each rotating cylinder is given by
PROBLEM 5: In a free cylindrical vortex flow, at a point in a fluid at a radius of200mm and a height of 100mm, the velocity and pressure are 15m/s and 120KN/m2 respectively. If the fluid of air having density of 1.225kg/m3, find the pressure at the radius of 400mm and at a height of 200mm.
SOLUTION:
