👉 A tied fluid, also known as a bound fluid or constrained fluid, is a type of fluid whose motion is directly and completely controlled by external forces or boundaries, such as walls or other rigid surfaces. Unlike free fluids that can move independently of these constraints, tied fluids are confined to follow the contours and movements of their surrounding boundaries. This characteristic makes tied fluids particularly useful in modeling complex systems where fluid behavior needs to be accurately represented, such as in the study of blood flow through arteries with irregular shapes or in the simulation of fluid dynamics around mechanical components. The behavior of tied fluids is governed by equations that account for the interaction between the fluid and its boundaries, ensuring that the fluid's velocity and pressure profiles adhere strictly to these constraints.