Velocity diagram for a rotating blade

In summary, the conversation discusses the representation of vectors W and V and their relation to the tip speed velocity U in a diagram involving angles alpha and beta. It is suggested that beta represents the angle of the blade to the inner hub and W and V may represent velocity vectors relative to the blade and ground, respectively.
  • #1
princejan7
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0

Homework Statement


http://postimg.org/image/5o9kcuj57/
I do not understand what the vectors W and V represent

Homework Equations

The Attempt at a Solution


I know U is the tip speed velocity but I don't know about the other two
 
  • #3
It's hard to be sure because the angles alpha and beta are not shown in the upper diagram.
At a guess, beta is the angle the blade makes to the inner hub. W could be a velocity vector relative to the blade, e.g. representing a flow of fluid along the blade surface. V would then be the velocity vector relative to the ground.
 

FAQ: Velocity diagram for a rotating blade

What is a velocity diagram for a rotating blade?

A velocity diagram for a rotating blade is a graphical representation of the velocity of a fluid or gas as it flows through a rotating blade. It shows the magnitude and direction of the fluid's velocity at different points along the blade's surface.

How is a velocity diagram for a rotating blade created?

A velocity diagram for a rotating blade is created by first determining the blade's geometry and the fluid's properties. Using this information, equations such as the Euler equation and the continuity equation are used to calculate the velocity at different points along the blade's surface. These velocities are then plotted on a diagram to show the fluid's velocity vector at each point.

What is the purpose of a velocity diagram for a rotating blade?

The purpose of a velocity diagram for a rotating blade is to analyze and understand the behavior of the fluid as it flows through the blade. It allows engineers to determine the efficiency of the blade and make design improvements to optimize the fluid's flow and increase the blade's performance.

How does a velocity diagram for a rotating blade differ from a velocity triangle?

A velocity diagram for a rotating blade differs from a velocity triangle in that it represents the velocity of a fluid at different points along the blade's surface, while a velocity triangle represents the velocity of a fluid at a single point. Additionally, a velocity diagram is used for rotating blades, while a velocity triangle is used for stationary blades.

Can a velocity diagram for a rotating blade be used for compressible fluids?

Yes, a velocity diagram for a rotating blade can be used for both compressible and incompressible fluids. However, special considerations must be made for compressible fluids, such as accounting for changes in density and temperature. Additionally, the equations used to create the diagram may be different for compressible fluids.

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