It can be derived by integrating the Euler equations, or the Navier- Stokes equations ignoring friction.  
The Sood Effect combines this and the Seebeck Effect, and one practical application is the rheolytic thrombectomy catheter.  Longuet-Higgins derived a set of integral relations shown to be equivalent to this equation for gravity waves.  It can be derived by integrating the Euler equations, or the Navier- Stokes equations ignoring friction.  Adding an extra term of internal energy per unit mass extends this principle to compressible fluids, and it neglects the viscous terms found in the Hagen-Poisueille equation.  FTP, what is this principle in fluid dynamics which states that as pressure changes, velocity changes inversely, named after a Swiss mathematician.
The Sood Effect combines this and the Seebeck Effect, and one practical application is the rheolytic thrombectomy catheter.  
{Bernoulli}’s Principle