A centrifugal compressor has a constant-width radial diffuser. The diameters at the
diffuser inlet and outlet are 0.2 m and 0.3 m, respectively. The flow at the diffuser
inlet and outlet is assumed to be steady and uniform. The average velocity at the
diffuser inlet and outlet are (60 eĢr + 75 eĢš) m/s and (u eĢr + 50 eĢš) m/s,
respectively. If the flow through the diffuser is treated as steady and
incompressible, the value of u is ________ (rounded off to the nearest integer).
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2026 Q.61)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (2 Marks, NAT).
**2. Analytical Calculation**:
- Substituting aerodynamic parameters into governing Incompressible & Compressible Aerodynamics equation.
**3. Final Answer**:
Acceptable official numerical value is **0.0**.
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