# Bernoulli's Theorem

Bernoulli's Theorem

Bernoulli's theorem is implied by the conservation of mass and energy in fluid flow. Consider a nonviscous, incompressible fluid flowing through a pipe with cross-sectional area and pressure , such that an element is moved a distance . The theorem states that the sum of the pressure, the potential, and kinetic energy per unit volume is equal to a fixed constant at any point of a fluid.

A

1

p

1

Δm

Δx