Abstract
An unsteady aerodynamic model is developed to predict the response of both axial- and radial-e ow turbomachinery blading resulting from potential e eld interactions. For axial-e ow turbomachines this is accomplished by extending a compressible e at-plate cascade analysis to account for the induced velocities due to an adjacent blade row’ s potential e eld. The blading response in a radial cascade consisting of logarithmic spiral airfoils is then calculated utilizing a conformal transformation mapping of the radial geometry to an equivalent axial cascade, enabling existing axial cascade models to be used for radiale ow turbomachine blade rows. This model is then used to demonstrate the forced response characteristics of a blade row to potential e elds of both upstream and downstream airfoil rows and to upstream bladerow-generated vortical wakes, including the differences between the response of axial- and radial-e ow turbomachinery blading. For both the axial- and radial-e ow blade rows, the nondimensional unsteady aerodynamic response amplitudes generated by airfoil row potential and vortical wake-forcing functions were of the same order of magnitude. Thus, for closely spaced, highly loaded blade rows, both wake and potential e eld interactions may be of equal signie cance.
Published Version
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