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Brayton Cycle Experiment – Jet Engine - Turbine Technologies

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To be more accurate, the specific heat of each fluid should be evaluated at the linear average between<br />

⎛ Tin + Tout<br />

⎞<br />

its inlet and outlet temperature, ⎜ ⎟ .<br />

⎝ 2 ⎠<br />

The irreversibilities present in the real process can be modeled by introducing the compressor<br />

efficiency,<br />

η<br />

COMP<br />

w<br />

=<br />

w<br />

C, s<br />

C, a<br />

=<br />

h<br />

h<br />

out, s<br />

out, a<br />

- h<br />

- h<br />

in<br />

in<br />

where the subscript s refers to the ideal (isentropic) process and the subscript a refers to the actual<br />

process. For a perfect gas the above equation is reduced to<br />

η<br />

COMP<br />

Combustor<br />

For the combustor,<br />

=<br />

T<br />

T<br />

out, s<br />

out, a<br />

- T<br />

- T<br />

in<br />

in<br />

Figure 3. Combustor Control Volume Model<br />

Note that ideally there is work transfer from the control volume (C.V.) to the surroundings. Under<br />

steady-state conditions, and neglecting the kinetic and potential energy effects, the first law for this<br />

control volume is then written as<br />

H�<br />

+ Q = H<br />

(7)<br />

in<br />

�<br />

in<br />

�<br />

out<br />

C.V.<br />

Combustor<br />

ó<br />

Considering that we have one flow into the control volume and one flow out of the control volume,<br />

we may write a more specific form of the first law as<br />

m� hin<br />

+ m�<br />

qC<br />

= m�<br />

hout<br />

(8)<br />

4<br />

ì<br />

(5)<br />

(6)

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