Air enters a gas turbine at P1=1100 kPa and T1= 860 K and leaves the turbine at P2=100 kPa and T2= 450 K. Air enters the turbine through a pipe with an internal cross-section of 0.3 m2 and an average velocity of 10 m/s, and exhausts through a larger pipe with an internal cross-section of 1 m2 . (for air, R=0.287kJ/kgK) Figure question 4. Air turbine running at steady state You can assume that
Air enters a gas turbine at P1=1100 kPa and T1= 860 K and leaves the turbine at P2=100 kPa and
T2= 450 K. Air enters the turbine through a pipe with an internal cross-section of 0.3 m2
and an
average velocity of 10 m/s, and exhausts through a larger pipe with an internal cross-section of 1
m2
. (for air, R=0.287kJ/kgK)
Figure question 4. Air turbine running at steady state
You can assume that
Change of Potential energy is negligible.
Turbine
P1=1.1 MPa
T1=860 K
V1=10 m/s
h1=?, v1=?
P2=100 kPa
T2= 450 K
h2=?, v2=?
V2=?
Inlet
Outlet
?̇=?
Air
m=2 kg
3
Change of Kinetic energy is not negligible.
Turbine is well insulated and there is no heat transfer.
Air is an ideal gas.
The turbine operates at steady state.
Please answer the following questions:
a) Determine the inlet specific enthalpy (ℎ1) and inlet specific volume (?1).
b) Determine the mass flow rate of air through the turbine.
c) Determine the specific enthalpy at outlet (
ℎ2) and specific volume at outlet (?2).
d) Determine the average velocity of air at outlet, V2.
e) Determine the power ?̇ produced by the turbine in kW.
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