Basic Concepts in Turbomachinery by Grant Ingram

By Grant Ingram

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2◦ 3. The flow at exit from a turbine stator row has a velocity of 100 m/s at an angle (α2 ) of 70◦ to the axial direction. Calculate the tangential and axial velocity components. The rotor row is moving with a velocity of 50 m/s. Calculate the velocity magnitude relative to the rotor blades at inlet and the relative inlet flow angle (β2 ). At exit from the rotor row the relative flow angle (β3 ) is −60◦ . Assuming that the axial velocity is constant across the row, what is the absolute exit velocity magnitude and direction?

The wind turbine is one of the only examples in turbomachinery where each blade can be considered in isolation and this is one of the reasons that a simple analysis is easy. 1, the speed of each of the three blades will be the same and assuming that the wind does not vary over the area of the machine, an analysis need only be conducted on a single blade and multiplied as necessary. 1: Wind Turbine Picture and Sketch will not influence the analysis greatly. Consider what happens if an observer was positioned on the turbine blade about half way along the span and a virtual cut made through the blade.

Therefore velocities can be specified as a vector V or a magnitude and angle, V and α. 6: Velocity Triangles at Station 3 of a Turbine tangential plane and angles are measured from the radial direction. This will become clearer when radial and centrifugal machines are explained in Chapter 4. 6 with the various components labelled, in order to indicate that we are dealing with station 3 a subscript 3 is added to all the symbols. The relative and absolute flow angles α and β are also shown. From basic trigonometry the follow relationships apply for any station in a turbomachine.

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