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GATE 2020 AE – Question 43

Propulsion · Turbomachinery: Axial compressors, work and compression, degree of reaction, multi-staging · 2 marks · Multiple choice

An axial compressor is designed at 15000 rpm and inlet stagnation temperature 300 K. During testing the inlet stagnation temperature is 280 K. What speed preserves the same performance characteristics?

  1. 14000 rpm
  2. 14491 rpm
  3. 15526 rpm
  4. 16071 rpm

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Correct answer: (B) 14491 rpm

Explanation

Match corrected speed $N/\sqrt{T_0}$ for similar compressor operation. Therefore $N_{test}=15000\sqrt{280/300}=14491.4$ rpm, giving B. Colder inlet gas requires a lower physical rpm to retain the same nondimensional blade-speed condition.

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