Compressed liquid water at 1000 kPa and 30°C enters an insulated mixing chamber at 50 kg/s. The water is mixed in the chamber with superheated steam at 1000 kPa. The combined flow exits as a saturated liquid at 1000 kPa. Using your mixing chamber model to calculate the data, plot the mass flow rate of the superheated steam for entering steam temperatures ranging from 200°C to 500°C.
State 1: Liquid inlet; State 2: Steam inlet; State 3: Outlet
Given: P1 = P2 = P3 = 1000 kPa; T1 = 30°C; x3 = 0.0; m?1= 50 kg/s
Assume: Q?=0 (insulated). Given no other information regarding the mixing chamber, make the following common assumptions: W?=?KE=?PE=0
Also, assume the mixing chamber is a multiple-inlet, single-outlet, steady-state, steady-flow device.
The First Law for Open Systems reduces to m?1h1+m?2h2=m?3h3
The conservation of mass yields: m?1+m?2=m?3
For the water:
h1 = 125.79 kJ/kg (take as slightly compressed: hf @ T)
h3 = 762.81 kJ/kg
The value of h2 varies with temperature.
Combining equations: m?2=m?1(h3?h1)/h2?h3
As the enthalpy is not changing linearly with temperature, the mass flow rate vs. temperature relationship is not linear.
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