the equation of motion

FLUIDS MOTIONS AND FORCES -- THE ANALYTIC WAY

Applying the universal force-momentum law to each and every fluid element, and integrating acorss these elements and over time. This quantifies the behavior of a fluid under any known set of forces. The respective equation is known as 'the equation of motion' or as 'Cauchy's Equation'. To work one has to know the current velocities of all fluid elements, and the exact forces thereto. The equation of motion is solved in two ways: analytically numerically