GATE AE 2023 • Q58 NAT • 2 Marks

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

Enstrophy is defined as the square of the magnitude of vorticity. For the three-dimensional velocity field ( ) ˆˆˆ(4 1.5 2.5 ) (1.5 1.5 ) 0.7V x y z i x y j xy k= - + + - + , the enstrophy at location (1, 1, 1) is ________ . (round off to two decimal places)

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.58)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Structural Mechanics** under *Aerospace Structures* (2 Marks, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Structural Mechanics equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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