GATE AE 2013 • Q37 NAT • 2 Marks

Aerodynamics & Fluid Mechanics

Incompressible & Compressible Aerodynamics

Subtopic: Airfoil & Wing Theory

Question Statement:

Consider a supersonic stream at a Mach number M=2, undergoing a gradual expansion. The stream is turned by an angle of 3 degrees due to the expansion. The following data is given. M  (Prandtl-Meyer function) 1.8 20.73 1.9 23.59 2.0 26.38 2.1 29.10 2.2 31.73 2.3 34.28 2.4 36.75 The Mach number downstream of the expansion is (A) 1.88 (B) 2.00 (C ) 2.11 (D) 2.33 1 2 3 4 5 6 2013 AEROSPACE ENGINEERING - AE AE 13/19

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2013 Q.37)** **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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