GATE AE 2024 • Q44 MCQ • 2 Marks

Aerodynamics & Fluid Mechanics

Incompressible & Compressible Aerodynamics

Subtopic: Airfoil & Wing Theory

Question Statement:

Air flowing at Mach number M = 2 from left to right accelerates to M = 3 across an expansion corner as shown in the figure. What is the value of 𝛿 (the angle between the Forward and Rearward Mach lines) in degrees? The values of the Prandtl-Meyer functions are 𝜈(3) = 49.76o and 𝜈(2) = 26.38o.

Options:

  • (A) 23.38
  • (B) 19.47
  • (C) 53.38
  • (D) 33.91

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.44)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (2 Marks, MCQ). **2. Aerospace Engineering Deduction**: - Applying standard governing principles of Incompressible & Compressible Aerodynamics. - Option **(A)** matches the analytical derivation and official criteria. **3. Final Answer**: Correct Option is **(A)**.

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