GATE AE 2013 • Q53 NAT • 2 Marks

Aerodynamics & Fluid Mechanics

Incompressible & Compressible Aerodynamics

Subtopic: Airfoil & Wing Theory

Question Statement:

A second identical airfoil is placed behind the first one at a distance of c/2 from the trailing edge of the first. The second airfoil has an unknown circulation 2 placed at its quarter chord. The normal velocity becomes zero at the same chord-wise locations of the respective airfoils as in the previous question. The values of 1 and 2 are respectively (A) 42 ,33 cU cU  (B) 22 ,33 cU cU  (C) 21 ,33 cU cU  (D) 44 ,33 cU cU  2013 AEROSPACE ENGINEERING - AE AE 17/19 Statement for Linked Answer Questions 54 and 55: A wing-body alone configuration airplane with a wing loading of 21000 /W N mS  is flying in cruise condition at a speed V = 90m/s at sea-level (air density at sea-level 31.22 /kg m  ). The zero lift pitching moment coefficient of the airplane is 0 0.06wb mac mCC   and the location of airplane aerodynamic center from the wing leading edge is 0.25 .acXc  Here c is the chord length.

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2013 Q.53)** **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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