V is the local velocity. Ignored in equation (3.1) is a familiar right-hand-side term representing the change in potential energy (caused by, say, the streamwise change in elevation), as it is ...

This pattern underscores a rigorously obeyed conservation law between angular momentum and energy, represented by the ...

Professor Brian Cox explains the first law of thermodynamics ... to explain how gravitational potential energy (for which he gives the formula) is converted into other forms.