Air enters the compressor of an ideal cold air-standard Brayton cycle at 100 kPa, 300 K, with a mass flow rate of 6 kg/s. The compressor pressure ratio is 10, and the turbine inlet temperature is 1400 K. For k 5 1.4, calculate (a) the thermal efficiency of the cycle. (b) the back work ratio. (c) the net power developed, in kW.

(a) 48.2 %

(b) 0.4137

(c) 2385.9 kW

Explanation:

The given values are:

Initial pressure,

p₁ = 100 kPa

Initial temperature,

T₁ = 300 K

Mass,

M = 6 kg/s

Pressure ration,

r = 10

Inlent temperature,

T₃ = 1400 K

Specific heat ratio,

k = 1.4

At T₁ and p₁,

⇒  

Process 1-2 in isentropic compression, we get

⇒  

On putting the estimated values, we get

Process 3-4,

⇒  

(a)...

The thermal efficiency will be:

⇒  

⇒  

⇒  

As we know,

⇒  

On putting the values, we get

(b)...

Back work ratio will be:

⇒  

Now,

⇒  

On putting values, we get

⇒  

So that,

⇒  

(c)...

Net power is equivalent to,

⇒  

On substituting the values, we get

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