# Velocity potential

From AMS Glossary

## velocity potential

If χ( If the flow is also nondivergent, the velocity potential satisfies the Laplace equation The velocity is everywhere normal to the surfaces of constant velocity potential. If a velocity potential exists, it is simpler to describe the motion by means of the potential rather than the vector velocity, since the former is a single scalar function whereas the latter is a set of three scalar functions.

*x*,*y*,*z*) is the velocity potential,