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Last Updated On [03-11-2023]

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, $v_{\theta}=\frac{\Gamma}{2 \pi r},$ where strength of the vortex is $\frac{\Gamma}{2 \pi}$ and $r$ is radial direction. The value of circulation along the curve shown in the figure is:


(A) $\Gamma$
(B) $-2 \Gamma$
(C) $2 \Gamma$
(D) 0


Question ID - 155883 :-

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, $v_{\theta}=\frac{\Gamma}{2 \pi r},$ where strength of the vortex is $\frac{\Gamma}{2 \pi}$ and $r$ is radial direction. The value of circulation along the curve shown in the figure is:


(A) $\Gamma$
(B) $-2 \Gamma$
(C) $2 \Gamma$
(D) 0

1 Answer
5876 Votes
3537

Answer Key : (D) -

(D) 0



Next Question :

To observe unsteady separated flow in a diverging channel, bubbles are injected at each $10 \mathrm{~ms}$ interval at point $A$ as shown in figure. These bubblesact as tracer particles and follow the flow faithfully. The curved line $\mathbf{A B}$ shown at any instant represents:


(A) Streamline, streakline and pathline
(B) Streamline and pathline
(C) Only a pathline
(D) Only a streakline


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