Centrifugal compressors some details on work done and vane angles.

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SUMMARY

The discussion focuses on the principles of centrifugal compressors, specifically addressing the derivation of Euler work and the use of stagnation versus static temperatures. It clarifies that while Cp(T02-T01) is typically used with stagnation temperatures, the static temperature approach in some literature may lead to confusion. Additionally, it confirms that the inlet air angle (alpha) for a radial vane centrifugal compressor must be less than 90 degrees to ensure effective airflow and rotation of the vanes, as a 90-degree angle would cause the air to slide off the vanes.

PREREQUISITES
  • Understanding of thermodynamics, specifically the concepts of stagnation and static temperatures.
  • Familiarity with the principles of centrifugal compressors and their operational mechanics.
  • Knowledge of Euler's work equation in fluid dynamics.
  • Basic grasp of isentropic processes and their relevance in thermodynamic cycles.
NEXT STEPS
  • Study the derivation of Euler's work in centrifugal compressors in detail.
  • Learn about the implications of using stagnation versus static temperatures in thermodynamic calculations.
  • Research the design and operational principles of radial vane centrifugal compressors.
  • Explore isentropic processes and their applications in various thermodynamic systems.
USEFUL FOR

Mechanical engineers, students studying thermodynamics, and professionals involved in the design and analysis of centrifugal compressors will benefit from this discussion.

Urmi Roy
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1. As far as the derivation goes, Cp(T02-T01)= Euler work= U2Cx2 in a centrifugal compressor...
where T01 and T02 are the stagnation temperatures...however, in a solved problem in my book, it writes:

Cp(T2-T1)= Euler work= U2Cx2...and therefore uses static temperature instead of stagnation temperatures...is this an error?

2. There is no actual adiabatic isentropic process between the initial stagnation temperature (T01) and the final isentropic stagnation temperature T02s...thenwhy are we allowed to use

T02s= T01(P02/P01)^(γ-1/γ)?

3. Is it true that the inlet air angle, alpha for a radial vane centrifugal compressor CANNOT be 90 deg?

(My teacher said that it always has to be< 90, since otherwise the liquid/air in compressor would simply slide off the vane without making the vanes rotate... )
 
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Someone please please please help!
 
Could someone at least give me a clue? Its very frustrating to have to wonder about these things everyday and not find a solution...
 

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