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from the design point. Here the approximation of the blade loading and blade angle distribution can be very precise. Both inviscid and viscous solvers exists. In the inviscid solvers a boundary layer analysis can be performed to predict viscous losses. A signif- icant advantage of blade-to-blade analysis is the possibility to construct blade loading diagram which shows the velocity distribution, or pressure distribution, on the pressure and suction surface of the blade. Such a diagram can be viewed in figure 2.9. Here the velocity distribution is shown for the hub and shroud but similar plots can be made for other sections across the hub and shroud. The area between the lines representing the velocity distributions on the suction and pressure surfaces respectively in these diagrams is proportional to the power which is possible to extract from this section of the stage. The use of two-dimensional blade-to-blade analysis is widely spread in the industry and used as an important tool in the design process. This is because the computational effort is very small and simulations can be run in the frame of a few seconds. However it can not be used when the flow is separating. It is highly likely that this will be the situation far away from the design point. When conditions like that needs to be examined viscous three dimensional solvers have to be used. Shroud Hub Suction side Pressure side Meridional distance Figure 2.9.: Blade loading diagrams resulting from two-dimensional blade-to-blade analyses helps the designer to evaluate the velocity distribution and spot defects. They should not be trusted at flow conditions far away from the design point because the flow might be separating. The separation phenomenon will most likely not be captured by the blade-to-blade analysis. When designers need to understand the three-dimensional aspects of the flow they usu- ally turn to ”CFD”. CFD, Computational Fluid Dynamics, is used to solve the Navier Stokes equations, either in their full form or in various simplified forms. This is done 12 Mach numberPDF Image | A Detailed Analysis of Radial Turbines
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