The streamlines of a potential line vortex is concentric circles with respect to the vortex center as
shown in figure. Velocity along these streamlines, outside the core of the vortex can be written as,
vv𝜃𝜃 = Γ
2𝜋𝜋𝜋𝜋, where strength of the vortex is
Γ
2𝜋𝜋 and r is radial direction. The value of circulation
along the curve shown in the figure is:
(A) Γ (B) -2Γ (C) 2Γ (D) 0
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2014 Q.9)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Verbal & Numerical Aptitude** under *General Aptitude* (2 Marks, NAT).
**2. Analytical Calculation**:
- Substituting aerodynamic parameters into governing Verbal & Numerical Aptitude equation.
**3. Final Answer**:
Acceptable official numerical value is **0.0**.
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