Consider a centered Prandtl-Meyer expansion fan at a 𝜃 = 4° corner in a Mach
1.78 air flow, as shown in the figure below. The angle ψ (see figure) made by the
ending wave of the fan with respect to the incoming stream is
________ degrees (rounded off to 1 decimal place).
An excerpt from the table of Prandtl-Meyer function for air is provided below.
M ν [deg] M ν [deg] M ν [deg]
1.72 18.40 1.82 21.30 1.92 24.15
1.74 18.98 1.84 21.88 1.94 24.71
1.76 19.56 1.86 22.45 1.96 25.27
1.78 20.15 1.88 23.02 1.98 25.83
1.80 20.73 1.90 23.59 2.00 26.38
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2026 Q.64)**
**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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