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mikeyy
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The Navier-stokes equations have no definite understanding of how it works; does the incompressible viscous and inviscid flow have a definite understandings (Hannah and Stephens)
Incompressible viscous flow refers to the movement of a fluid that has both viscosity (internal friction) and a constant density, while incompressible inviscid flow refers to the movement of a fluid with no internal friction and constant density. Viscosity causes a fluid to resist flow and dissipate energy, while inviscid flow does not experience any internal friction.
Incompressible viscous flow is responsible for the formation of boundary layers and the effects of drag, while incompressible inviscid flow does not experience these effects. This means that incompressible inviscid flow can be used to study the overall motion of a fluid without the complicating factors of viscosity.
Both types of flow can be observed in real-life situations. Incompressible viscous flow is commonly observed in everyday processes such as water flowing through pipes or air flowing over airplane wings. Incompressible inviscid flow is often used to model the flow of air over a wing or the motion of water in a river.
Incompressible viscous flow is described by the Navier-Stokes equations, which take into account both the fluid's velocity and its viscosity. Incompressible inviscid flow is described by the Euler equations, which only consider the fluid's velocity and density.
Understanding these two types of flow is essential for a variety of engineering and scientific applications. For example, understanding incompressible viscous flow is crucial for designing efficient pipelines or aerodynamic structures like airplane wings. Incompressible inviscid flow is often used in the design of hydrofoils, which are used to lift boats out of the water, and in the study of ocean currents.