GATE AE 2011 • Q43 NAT • 2 Marks

Aerodynamics & Fluid Mechanics

Incompressible & Compressible Aerodynamics

Subtopic: Airfoil & Wing Theory

Question Statement:

(A) -0.05  0.02i (B) -0.5  0.2i (C) -0.028  1.26i (D) 0.028  1.26i Consider the inviscid, adiabatic flow of air at free stream conditions, M 1 = 2, p 1 = 1 atm and T 1 = 288 K around a sharp expansion corner ( θ = 20°) as shown below. The Prandtl-Meyer function, ν, is given as a function of Mach number, M, as 1 M tan ) 1 M (1 1tan1 1) M ( 2 121           Assume air to be calorically perfect with  = 1.4. The Mach number, M 2, downstream of the expansion corner is approximately

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2011 Q.43)** **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**.

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test