Thermodynamics Control Volume evaluation 2 inlet

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SUMMARY

The discussion focuses on evaluating a control volume with two inlet streams of air mixing into a single outlet stream, utilizing the ideal gas model for air with a specific heat capacity (Cp) of 1.02 kJ/kg·K. The initial conditions include T1 = 800 K, P1 = 1.8 MPa, m(dot)1 = 1 kg/s, T2 = 650 K, P2 = 1.0 MPa, and m(dot)2 = 2 kg/s. The calculated outlet enthalpy (h3) is 713.88 kJ/kg, and the next steps involve determining the outlet temperature and assessing the entropy changes for the two potential outlet pressures of 1.0 MPa and 1.8 MPa.

PREREQUISITES
  • Understanding of control volume analysis in thermodynamics
  • Familiarity with the ideal gas model and specific heat capacity
  • Proficiency in using thermodynamic tables for enthalpy and entropy
  • Knowledge of energy balance equations in thermodynamic systems
NEXT STEPS
  • Calculate the final temperature using the ideal gas behavior assumptions
  • Determine the change in entropy for both outlet pressure conditions (1.0 MPa and 1.8 MPa)
  • Utilize thermodynamic tables to find corresponding temperatures and entropies at the calculated enthalpy (h3 = 713.88 kJ/kg)
  • Explore the implications of the calculated outlet temperature on system performance and efficiency
USEFUL FOR

Students and professionals in mechanical engineering, particularly those specializing in thermodynamics and fluid mechanics, as well as anyone involved in the analysis of control volumes in thermal systems.

PCPanos
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Figure P6.95 provides steady-state test data for a control
volume in which two entering streams of air mix to form a
single exiting stream. Stray heat transfer and kinetic and
potential energy effects are negligible. A hard-to-read
photocopy of the data sheet indicates that the pressure of
the exiting stream is either 1.0 MPa or 1.8 MPa. Assuming
the ideal gas model for air with Cp = 1.02 kJ/kg . K, determine
if either or both of these pressure values can be correct.

Figure shows that:
T1 = 800k
P1 = 1.8Mpa
m(dot)1=1kg/s

T2 = 650K
P2 = 1.0Mpa
m(dot)2 = 2 kg/s

P3 = 1.0Mpa OR 1.8 Mpa (to ues for calculations about wether it is even possible)

i found h1 = 821.95, h2 = 659.84 using thermo tables

So far i have used 0 = m1(h1) + m2(h2) - m3(h3) to find that h3 is 713.88

Im really struggling with the concept of two inlets and finding the change (DELTA)h to use to find the outlet Temp right now.. using (DELTA)h = Cp(DELTA T)...

Where should i go next? I believe i need to find the Delta h but I am really not sure. I've spent hours on this.
Thanks!
PCP
 
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I have some ideas for you to consider. Are you supposed to be using the tables, or are you supposed to be assuming ideal gas behavior? If you are assuming ideal gas behavior, you can calculate the final temperature. Then test each condition to see if the entropy increases or decreases for each of the pressures. If you are using the tables, basically the same thing (particularly if your tables have entropies). Look up in you table h=713.88, and see what the temperatures are at the two pressures (they should be about the same). Then get the entropies from the table, and calculate the change in entropy through the device for the two choices of pressure.
 

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