Question

The velocity potential \(\phi\) for a vortex flow is given by

• A. \(-\dfrac{\Gamma}{2\pi} \ln r\)
• B. \(-\dfrac{\Gamma}{2\pi r}\)
• C. \(\dfrac{\Gamma}{2\pi} \theta\)
• D. \(\dfrac{\Gamma}{2\pi} r\)

Hint:

\(\phi = \dfrac{\Gamma}{2\pi} \theta\) describes the potential for irrotational vortex flow.

Answer 1

The Correct Option is C

The velocity potential for a vortex is derived from the tangential velocity component; it varies linearly with the angular coordinate \(\theta\).