Why the velocity potential φ(x, y,z, t) exists only for irrotational flow

 all are zero.

Explanation:

We know that if flow is possible then it will satisfy the below equation

Where u is the velocity of flow in the x-direction ,v is the velocity of flow in the y-direction and w is the velocity of flow in z-direction.

And velocity potential function given as follows

Rotationality of fluid is given by

So now putting value in the above equations ,we will find

So =0

Like this all all are zero.

That is why  velocity potential flow is irroational flow.

answer:

constructing a building's framework requires a solid foundation

explanation: