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Chapter 9.0 APPENDIX C AVDR - MVDR Relationships Background The Axial Velocity Density Ratio (AVDR) is widely used to measure the degree to which the flow streamtubes in a 2-D cascade are contracted (Schreiber, 1984). The axial component of velocity for subsonic flow in an experimental cascade will increase due to boundary layer effects, consequently changing the A VDR. The value of the AVDR is normally quoted when listing results from 2-D cascades. When applying these results to the prediction of the performance of 3-D annular cascades, the AVDR must be altered so as to apply to the 3-D annular flow. In this investigation, a new parameter, the Meridional Velocity Density Ratio (MVDR), was developed to account for boundary layer effects in 3-D annular cascades. The following development relates the definition of the MVDR to the AVDR. Linear Cascade Theory The AVDR is a useful parameter when dealing with cascade flow. The ratio of areas perpendicular to the relative flow entering and exiting the blade row can be calculated directly if the AVDR and the relative flow angles are known. This ratio is necessary when computing the relative mass flow functions, which is one method used to cross the blade passage. Equation (C1) represents the definition of AVDR AVDR = (ρ2Vx2) / (ρ1Vx1) (C1) In Equation C1, ρ is the density, Vx the absolute axial velocity, and the subscripts (1) and (2) imply the inlet and exit of the blade rows, respectively. Because the blade velocity is perpendicular to the axial direction, the absolute axial velocity (Vx) and the relative axial velocity (Wx) are equivalent (see Equation C2). Vx1 = Wx1 and Vx2 = Wx2 (C2) 75PDF Image | Gas Turbine Design Axial Flow Compressors
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