What is the velocity of the steam at the nozzle exit, and what is the exit diameter?

Steam flows at steady state through a converging, insulated nozzle, 25 cm long and with an inlet diameter of 5 cm. At the nozzle entrance (state 1), the temperature and pressure are 325°C and 700 kPa and the velocity is 30 . At the nozzle exit (state 2), the steam temperature and pressure are 240°C and 350 kPa. Property values are:


Because the nozzle is insulated, Q is zero, and because it is a nozzle (with no moving parts) the nonflow work, W, is zero, so from the steady-state energy balance we have



or



from which



The mass balance simply tells us that the mass out equals the mass in, or



from which

Therefore



so = 0.299?5 cm = 1.49 cm

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