Aside: Applying Bernoulli across streamlines (mathematical)

[@lightspd714]

Thanks for the helpful video. Just to clear up for the case where we apply Bernoulli along a streamline where you dot the equation with v. Would omega cross v be zero without dotting it with v? If so, then it seems the omega cross v term is always zero- which would seem to trivialize the condition of requiring zero vorticity. Thanks for the content!

[@learnfluidmechanics4166]

No, omega cross v is, in general, not zero.

[@lightspd714]

@@learnfluidmechanics4166 Thank you very much. I really appreciate this video. It is the only video to clear everything up regarding Bernoulli’s equation and use cases for me.