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Chapter 2.0 Background Two-dimensional cascades and 2-D cascade theory are commonly used to model flow in transonic compressors because they better isolate the effects of the individual loss mechanisms such as shocks and boundary layers. The flow field inside a transonic compressor is extremely complex, being viscous, compressible, unsteady, 3-D, and containing both laminar and turbulent regions. This chapter will introduce cascade aerodynamics and describe loss and deviation for 2-D linear and 3-D annular cascades. A summary of the currently available loss and deviation models is included in this chapter as well. 2.1 Fundamentals of Cascade Aerodynamics The objective of this section is to define terminology, definitions, notation, and sign convention used in 2-D linear cascade analysis. Figure 2.1 illustrates the absolute and relative flow velocities in an axial-flow flow cascade. θ m W sWW2 1U2β β Wθ1 β2 Wθ2 2 1UαU Vm1 α1 Vθ1 V2 V1 α1 Vθ1 Wm2 V 2 1 Absolute Frame Relative Frame Relative Frame Absolute Frame Figure 2.1 Axial-flow Compressor Cascade Geometry and Velocity Triangles 4PDF Image | Gas Turbine Design Axial Flow Compressors
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