The Euler approach and direct tensor calculus in the problem of the physical nature of the Coriolis effects

The problem of the Coriolis inertia force moment is considered in spatial formulation in the framework of studying the hydrodynamics of moving channels. The physical meaning of the obtained formulas is elucidated using direct tensor calculus and the Euler approach to the description of kinematics. The results provide a basis for extending the well-known Euler’s turbine equation to the general case of spatial motion and refining the conditions of applicability of the Gauss–Ostrogradsky formula.