In some books I find that, among the assumptions for proving bernoulli equation using work-energy theorem there are:
- stationary flow
- perfect fluid ($\rho=$constant, $\eta=0$)
- laminar flow
But if one looks to the derivation of bernoulli equation from Euler equation instead, the conditions are only
- stationary flow
- perfect fluid ($\rho=$constant, $\eta=0$)
And there is a further condition
- $\mathrm{rot} \vec{v}=0$ (irrotational flow)
In order to say that the constant of Bernoulli equation does not depend on the streamline.
In this context can I say that laminar flow $\implies \mathrm{rot} \vec{v}=0$ (irrotational flow) so that the condition imposed in the first derivation automatically include the condition that in the second derivation guarantees that the constant of the equation does not depend on the streamline?