Incompressibleflow
Incompressible flow refers to fluid motion in which the fluid density is constant within the flow field and over time. This is a good approximation for liquids and for gases moving at low speeds where density variations are negligible relative to the flow. Under incompressibility, changes in volume of fluid elements are ignored.
The continuity equation for a fluid with constant density ρ reduces to ∇·v = 0, where v is
Special cases include potential flow, where the flow is irrotational (∇×v = 0) and can be described
Applications of incompressible flow theory cover many engineering and natural systems, such as water transport in