Kinetic energy balance. Generalized Bernoulli equation
Fluid mechanical basic equations

The kinetic energy theorem is as follows.

The variation in kinetic energy over the unit time of a material system is equal to the power exerted by the internal and external forces applied to that system.

To translate this theorem, we use the equation for the balance of a scalar quantity [equation (3)]. Here, the scalar quantity G is the kinetic energy E_c of the fluid contained in volume V at time t, and the volume quantity g is the kinetic energy per unit volume ρv²/2. Then, noting by Ω the boundary surface with the external...