Team enters a turbine operating at steady state at 2 MPa, 360°C with a velocity of 100 m/s. Saturated vapor exits at 0.1 MPa and a velocity of 50 m/s. The elevation of the inlet is 3 m higher than at the exit. The mass flow rate of the steam is 15 kg/s, and the power developed is 7 MW. Let g = 9.81 m/s2. Determine (a) the area at the inlet, in m2, and (b) the rate of heat transfer between the turbine and its surroundings, in kW.
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Ответ:
-313.7 KW
Explanation:
Given
Fluid: Steam
Inlet 1:
Pressure
= 2MPa
Temperature
= 360°C
Velocity
= 100 m/s
Exit 2:
Saturated vapor
Pressure
= 0 .1 MPa
Velocity
= 50 m/s
Mass flow rate m = 15 Kg/s
The elevation of the inlet
= 3 m
Gravitational force g = 9.81 m/s^2
Power developed W = +7 MW
Required
a) The area at the inlet![A_{1} [m^2]](/tpl/images/0511/7912/b8fab.png)
b) The rate of heat transfer between the turbine and its surroundings![Q[KW]](/tpl/images/0511/7912/6fb9f.png)
Assumption
Constant average values.
Steady flow.
Solution
a) specific volume for steam at
and
from table
Mass flow rate could be defined by.
Then area at inlet could be calculated as following.
b)
Energy equation could be defined by.
specific enthalpy for steam at
and
from table
specific enthalpy for steam at
and in saturated vapor state from table
Then The rate of heat transfer between the turbine and its surroundings could be calculated as following.
=-313.7 KW
As the sign is negative it means that the heat transfer is from turbine to the surrounding.
Ответ:
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