A steam turbine is supplied with 54 Kg/s of superheated steam at 100 bar and 420°C with negligible velocity. The shaft of the turbine produces 2200000 KNm of torque at 3500 rev/min. The heat loss is 2.3 MW from the casing of the turbine. Determine the thermal power remaining in the exhaust steam.

Take the value for enthalpy as 3155.52 kJ/kg.

Question

A steam turbine is supplied with 54 Kg/s of superheated steam at 100 bar and 420°C with negligible velocity. The shaft of the turbine produces 2200000 KNm of torque at 3500 rev/min. The heat loss is 2.3 MW from the casing of the turbine. Determine the thermal power remaining in the exhaust steam.

Take the value for enthalpy as 3155.52 kJ/kg.

dboome · Answer

god I dislike doing thermodynamics. gl hf

aliqanber · Answer

input power = mdot*h
work produced = torque*angular velocity = 2.2E9 * 3500 *2*pi/60
heat loss = 2.3 MW
conservation of energy:
input power - work produced - heat loss - remaining thermal power = 0  (zero since negligible change in kinetic energy and gravitational potential energy)
so:
remaining thermal power = input power - work produced - heat loss