In a converging duct, area and velocity at section P are 1 m 2 and 15 m/s,
respectively. The temperature of the fluid is 300 K.
Air flow through the nozzle can be assumed to be inviscid and isothermal.
Characteristic gas constant is 287 J/(kg-K) and ratio of specific heats is for air.
To ensure that the air flow remains incompressible (Mach number, M ≤ 0.3) in the
duct, the minimum area required at section Q is _____ m 2 (rounded off to two
decimal places).
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.53)**
**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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