Velocity potential

Velocity potential is a scalar function used in fluid dynamics and vector calculus that is associated with the flow of an incompressible, irrotational fluid. The concept arises from the mathematical formulation of fluid motion and is particularly useful in the study of potential flows. In the context of fluid dynamics: - **Definition**: The velocity potential \(\phi\) is defined such that the velocity \(\mathbf{v}\) of the fluid can be expressed as the gradient of this potential function.