Pressure, energy density, and power of a fluid flow

I've read that you can view static pressure of a fluid as energy density, which makes sense to me. I've also seen that the power of a fluid flow can be calculated by multiplying the pressure by the volumetric flow rate. However, doesn't a flow also have kinetic energy? How can you calculate the power delivered by a fluid flow without incorporating the kinetic energy per unit volume? Why isn't Power= (P+ density*v^2/2)*Q

http://hyperphysics.phy-astr.gsu.edu/hbase/press.html

Thanks!