4. Kinetic energy balance. Generalized Bernoulli equation

4.1 General case

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 ρv ^...