Page 1 1 Lect-17 Page 2 1 Lect-17 Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay 2 Lect-17 In this lecture... • Tutorial – Axial compressors Page 3 1 Lect-17 Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay 2 Lect-17 In this lecture... • Tutorial – Axial compressors Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay 3 Lect-17 Problem # 1 Air at 1.0 bar and 288 K enters an axial flow compressor with an axial velocity of 150 m/s. There are no inlet guide vanes. The rotor stage has a tip diameter of 60 cm and a hub diameter of 50 cm and rotates at 100rps. The air enters the rotor and leaves the stator in the axial direction with no change in velocity or radius. The air is turned through 30.2 degree as it passes through the rotor. Assume a stage pressure ratio of 1.2 and overall pressure ratio of 6. Find a) the mass flow rate of air, b) the power required to drive the compressor, c) the degree of reaction at the mean diameter, d) the number of compressor stages required if the isentropic efficiency is 0.85. Page 4 1 Lect-17 Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay 2 Lect-17 In this lecture... • Tutorial – Axial compressors Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay 3 Lect-17 Problem # 1 Air at 1.0 bar and 288 K enters an axial flow compressor with an axial velocity of 150 m/s. There are no inlet guide vanes. The rotor stage has a tip diameter of 60 cm and a hub diameter of 50 cm and rotates at 100rps. The air enters the rotor and leaves the stator in the axial direction with no change in velocity or radius. The air is turned through 30.2 degree as it passes through the rotor. Assume a stage pressure ratio of 1.2 and overall pressure ratio of 6. Find a) the mass flow rate of air, b) the power required to drive the compressor, c) the degree of reaction at the mean diameter, d) the number of compressor stages required if the isentropic efficiency is 0.85. Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay 4 Lect-17 Solution : Problem # 1 1 ß a C 1 V U 2 C U 2 V 2 ß Page 5 1 Lect-17 Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay 2 Lect-17 In this lecture... • Tutorial – Axial compressors Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay 3 Lect-17 Problem # 1 Air at 1.0 bar and 288 K enters an axial flow compressor with an axial velocity of 150 m/s. There are no inlet guide vanes. The rotor stage has a tip diameter of 60 cm and a hub diameter of 50 cm and rotates at 100rps. The air enters the rotor and leaves the stator in the axial direction with no change in velocity or radius. The air is turned through 30.2 degree as it passes through the rotor. Assume a stage pressure ratio of 1.2 and overall pressure ratio of 6. Find a) the mass flow rate of air, b) the power required to drive the compressor, c) the degree of reaction at the mean diameter, d) the number of compressor stages required if the isentropic efficiency is 0.85. Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay 4 Lect-17 Solution : Problem # 1 1 ß a C 1 V U 2 C U 2 V 2 ß Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay 5 Lect-17 Solution: Problem # 1 ° = = ? ? ? ? ? ? ? ? - = ° = - = ° = ? ? ? ? ? ? ? ? = = × ? ? ? ? ? ? + × = × ? ? ? ? ? ? + × = - 92 . 38 75 . 80 tan tan 19 2 . 30 2 . 49 2 . 49 tan / 76 . 172 100 2 5 . 0 6 . 0 2 2 2 2 2 1 1 a ß a ß ß p p a a a h t C C U C U s m N d d URead More

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