Bernoulli Question

You're right about the equation seeming to be scalar. This is a simplification that has been made (the understanding is that positive values are in the direction of flow along the streamline). I've seen three different derivations for Bernoulli's Equation and all three start with vector equations. All three maintain the vector values until the equation is along the streamline and then simplifies to a +/- convention. It seems scalar, but it is still a vector quantity.

If you could possibly direct me/us to one of the derivations, I would be grateful. I personally find derivations a good way to understand how to apply a concept.

_{I think I can leave Winston Smith out of this now.}

Here's a couple I found that show the vector quantities I'm referring to. I like the second one better, it starts with the most general of equations (Naiver-Stokes) and goes from there.

http://scienceworld.wolfram.com/physics/BernoullisLaw.html

http://www.efunda.com/formulae/fluids/bernoulli.cfm

I really like the one's in my books and if I can figure out how get them up here, I'll post those as well.

I appreciate the offer, but I wouldn't want CR4 to have a possible copyright issue. I'll likely look over those two public links over the weekend. Likely the energy distribution confusion I have will be clarified from reviewing the derivation and the only reduction in pressure going down each pipe will come from the friction losses and not a transition from the manifold to each pipe. I'll bring my mea-culpa crying towel and favorite beverage back here for all to see then. Then again, maybe I'll just have more ammunition to confuse people.