GATE AE 2022 • Q51 NAT • 2 Marks

Aerodynamics & Fluid Mechanics

Incompressible & Compressible Aerodynamics

Subtopic: Airfoil & Wing Theory

Question Statement:

Consider a circulation distribution over a finite wing given by the equation below. Γ(y) = ൞ Γ଴ ൬1 -2y b ൰ if 0 ≤ y ≤b 2 Γ଴ ൬1 +2y b ൰ if - b 2 ≤ y ≤ 0 The wingspan b is 10 m, the maximum circulation Γ଴ is 20 m2/s, density of air is 1.2 kg/m3 and the free stream speed is 80 m/s. The lift over the wing is ______N (rounded off to the nearest integer).

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.51)** **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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