A Francis turbine is a radial inflow turbomachine that is us

A Francis turbine is a radial inflow turbomachine that is usually employed to convert energy from water into mechanical work to drive electrical generators. They are usually used at sites where there is a large volume of water available at medium head levels (60 to 500 feet). The simplified geometry of a typical Francis turbine is shown below. Design conditions required that the rotor turn at 120 rpm at a water head of 330 ft. The absolute velocity of the water entering the rotor is 138 ft/s, at an inlet angle of alpha_1=20 degree. Assume that the flow of water is parallel to the rotor blades at the inlet and outlet and that the absolute velocity of the water is purely radial at the rotor exit. Starting with derived equations, solve numerically for the torque and power produced by this turbine. Also construct inlet and exit velocity triangles and determine the inlet and exit blade angles of this turbine.

Solution

The torque for this turbine is 67n-n

The power for the turbine is 23kw.

While inlet angles are31degree and 18 degree

The exit angles have value15 and 22 degrees.