Question 17.CSGP.77: Steam at a pressure of 1 MPa and temperature of 400°C expand......
Steam at a pressure of 1 MPa and temperature of 400°C expands in a nozzle to a pressure of 200 kPa. The nozzle efficiency is 90% and the mass flow rate is 10 kg/s. Determine the nozzle exit area and the exit velocity.
Step-by-Step
First do the ideal reversible adiabatic nozzle
\begin{gathered}s _{2 s }= s _1=7.4651 \,kJ / kg K , h _1=3263.9 \,kJ / kg \\\Rightarrow T _{2 s }=190.4^{\circ} C ; \quad h _{2 s }=2851 \,kJ / kg\end{gathered}
Now the actual nozzle can be calculated
\begin{aligned}& h _1- h _{2 ac }=\eta_{ D }\left( h _1- h _{2 s }\right)=0.9(3263.9-2851)=371.6 \,kJ / kg \\& h _{2 ac }=2892.3 \,kJ / kg , \quad T _2=210.9^{\circ} C , \quad v _2=1.1062 \,m ^3 / kg \\& \mathbf{V} _2=\sqrt{2000(3263.9-2892.3)}= 8 6 2 ~ m / s \\& A _2=\dot{ m }v_2 / \mathbf{V} _2=10 \times 1.1062 / 862= 0 . 0 1 2 8 3 ~ m ^2\end{aligned}
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