Explain the hydrodynamic force of jets on stationary and moving vanes

When a jet of fluid (liquid or gas) impacts a vane, it exerts a hydrodynamic force on the vane. The magnitude and direction of this force depend on various factors, including the velocity and direction of the jet, the angle of impact, and the shape and size of the vane.

In the case of stationary vanes, the force exerted by the jet can be calculated using the principles of fluid mechanics. The force can be broken down into two components: normal force, which acts perpendicular to the vane surface, and tangential force, which acts parallel to the vane surface. The normal force is typically due to the pressure of the jet acting on the vane surface, while the tangential force is due to the momentum transfer from the jet to the vane.

When the vane is moving, the hydrodynamic force on the vane becomes more complex. In addition to the pressure and momentum transfer forces, there is also a force due to the change in momentum of the fluid as it impacts the moving vane. This force can be significant and can alter the motion of the vane.

Overall, the hydrodynamic force of jets on stationary and moving vanes can have a significant impact on the performance and behavior of the vane in a fluid flow system. Understanding and predicting these forces is important for designing efficient and effective systems involving fluid flow and vane interactions.