(a) Show that for an axial compressor of 50% reaction design with blade velocity Cb​, axial flow component of airflow, C

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(a) Show that for an axial compressor of 50% reaction design with blade velocity Cb​, axial flow component of airflow, C

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A Show That For An Axial Compressor Of 50 Reaction Design With Blade Velocity Cb Axial Flow Component Of Airflow C 1
A Show That For An Axial Compressor Of 50 Reaction Design With Blade Velocity Cb Axial Flow Component Of Airflow C 1 (39.21 KiB) Viewed 31 times
(a) Show that for an axial compressor of 50% reaction design with blade velocity Cb​, axial flow component of airflow, Cf​, and inlet blade angle, βi​, that Specific power input per stage =Cb2​[2Cb​Cf​​tanβi​−1]× (work done factor) (b) A 10 -stage axial-flow compressor of 50% reaction design has a mean blade velocity of 250 m/s and the blade inlet angle for each row is 45∘. The ratio of flow velocity to blade velocity is 0.75, the work done factor for each stage is 0.87 and the isentropic efficiency of the compressor is 0.85. Assuming an air inlet temperature of 20∘C, calculate: (i) the exit angle of the blades; (ii) the pressure ratio of the compressor; (iii) the pressure ratio of the first stage. (Hint: For part (iii) as a first approximation take the stage efficiency to be equal to the compressor polytropic efficiency.) (18.4∘;7.6/1;1.317/1)
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