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Consider the following remarks pertaining to the irrotational flow:

1. The Laplace equation of stream function \(\frac{{{\delta ^2}{\rm{\Psi }}}}{{\delta {x^2}}} + \frac{{{\delta ^2}{\rm{\Psi }}}}{{\delta {y^2}}} = 0\) must be satisfied for the flow to be potential.

2. The Laplace equation for the velocity

potential \(\frac{{{\delta ^2}{\rm{\varphi }}}}{{\delta {x^2}}} + \frac{{{\delta ^2}{\rm{\varphi }}}}{{\delta {y^2}}} = 0\) must be satisfied to fulfil the orate . of mass conservation i.e continuity equation..

Which of the above statements is/are correct?
1. 1 only
2. Both 1 and 2
3. 2 only
4. Neither 1 or 2

1 Answer

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Best answer
Correct Answer - Option 2 : Both 1 and 2

i) If stream function satisfies the Laplace equation it is possible case of irrotational flow.

ii) Any potential function that satisfies the Laplace equation is possible irrotational flow case.

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