Over a short time interval \Delta t, This is a statement of the principle of mass conservation for a steady, one-dimensional flow, with one inlet and one outlet. This equation is called the continuity ...

The discoveries center on the Euler equations, posed by Leonhard Euler in 1757 ... But first, to help think about the surprisingly complicated ways in which fluids can flow, let’s consider a scenario ...

points 1 and 2 lie on a streamline, the fluid has constant density, the flow is steady, and there is no friction. Although these restrictions sound severe, the Bernoulli equation is very useful, ...