This equation results from applying energy conservation to each volume element of a fluid, and it explains why pressure drops as fluid flow accelerates.
According to this law, the Euler equations imply a Hamiltonian whose derivative in the direction of the flow is zero. Under the steady flow assumption, this law states that pressure plus one-half density times v-squared plus a potential energy stays constant. The speed of a leak in a (*) tank from a certain height can be determined with Torricelli's law, a specific case of this principle. This equation results from applying energy conservation to each volume element of a fluid, and it explains why pressure drops as fluid flow accelerates. For 10 points, give this principle named for a Swissman and often used to explain lift on airplane wings.
According to this law, the Euler equations imply a Hamiltonian whose derivative in the direction of the flow is zero.
Bernoulli’s principle (accept “law” or “equation” or any sensible synonym as long as Bernoulli is mentioned)