SFEE + Air Question (REPLY SOON PLEASE)

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SUMMARY

The discussion centers on applying the Steady Flow Energy Equation (SFEE) to determine the outlet temperature (T2) of a compressor system. The SFEE is defined as q + W = (h2 - h1) + c2^2 - c1^2/2000 + g(z2 - z1)/1000. The user, Koen, initially set W, c2, and the height difference to zero, simplifying the equation to q = (h2 - h1). By substituting the specific heat capacity (cp = 1.01 kg/K) and multiplying by mass flow rate, Koen calculated T2 to be 5229.3 degrees Celsius, noting the importance of unit conversion to Kelvins.

PREREQUISITES
  • Understanding of the Steady Flow Energy Equation (SFEE)
  • Familiarity with thermodynamic properties such as specific heat capacity (cp)
  • Knowledge of isobaric processes in thermodynamics
  • Basic skills in unit conversion, particularly temperature units
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  • Study the application of the Steady Flow Energy Equation in different thermodynamic systems
  • Learn about the isentropic relationships and their implications in compressor design
  • Explore advanced thermodynamic calculations involving mass flow rates and energy balances
  • Investigate the effects of varying specific heat capacities on temperature calculations
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Students and professionals in mechanical engineering, particularly those focusing on thermodynamics and fluid mechanics, as well as anyone involved in the design and analysis of compressor systems.

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Homework Statement



See attachment please (Note: a lot of extra information is given, all of the information given for the compressor is possibly redundant).

Homework Equations



1) SFEE (steady flow energy equation): q + W = (h2 - h1) + c2^2 - c1^1/2000 + g(z2 - z1)/1000

2) Isentropic relationship: T2/T1 = (p2/p1)^(y-1/y).. (where y = gamma = 1.4)

The Attempt at a Solution



Apply the SFEE to find T2, but how?

I have tried the following:

q + W = (h2 - h1) + c2^2 - c1^1/2000 + g(z2 - z1)/1000.. where W = 0 (no shaft used), c2^2 - c1^1/2000 = 0 (no velocity information provided) and g(z2 - z1)/1000 = 0 (no change in height).

Therefore: q = (h2 - h1)
q = cp (T2 - T1).. where cp = 1.01kg/K, and cp (T2 - T1) is (h2 - h1) for an isobaric process.

Multiplying both sides of the equation by mass flow rate (so that the power given (i.e. heat) can be used in the equation).
q x m = heat energy [kW].

I get an answer of 5229.3 degrees C. (convert units to Kelvins during calculations).Thanks in advance.
Koen.
 

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