Vane sweep effects on rotor/stator interaction noise

The application of a lifting surface theory to compute the aerodynamic and acoustic response of swept vane stators to viscous rotor wakes is studied. Starting from the flow equations for a perturbed, axially subsonic flow, expressions are derived for the velocity field induced by a stator. A new representation of Green's function is used, which avoids the traditional expansion in duct modes. This representation is more practical for arbitrary vane shapes than the classical one. The boundary condition at the vane surfaces yields an integral equation for the unknown pressure jump distribution over the vanes. A Galerkin projection transforms this integral equation into a set of linear equations that is solved numerically. The new method agrees with the classical method and with experimental data for zero sweep. Sample calculations show that vane sweep can be exceptionally effective in the reduction of noise resulting from the interaction of rotor wakes and a stator.

[1]  J. Schulten Effects of asymmetric inflow on near-field propeller noise , 1996 .

[2]  T. G. Sofrin,et al.  Axial Flow Compressor Noise Studies , 1962 .

[3]  Edmane Envia,et al.  Noise generated by convected gusts interacting with swept airfoil cascades , 1986 .

[4]  J. B. H. M. Schulten Transmission of sound through a rotor , 1992 .

[5]  Michael J. T. Smith,et al.  Aircraft Noise: Frontmatter , 1989 .

[6]  John J. Adamczyk,et al.  Passage of a Swept Airfoil through an Oblique Gust , 1974 .

[7]  Johan B. H. M. Schulten Sound Generated by Rotor Wakes Interacting with a Leaned Vane Stator , 1982 .

[8]  Masanobu Namba,et al.  Unsteady Lifting Surface Theory for a Rotating Cascade of Swept Blades , 1990 .

[9]  Johan B. H. M. Schulten,et al.  ADVANCED PROPELLER PERFORMANCE CALCULATION BY A LIFTING SURFACE METHOD , 1996 .

[10]  J. Lordi,et al.  Linearized analysis of the three-dimensional compressible flow through a rotating annular blade row , 1981, Journal of Fluid Mechanics.

[11]  Masanobu Namba Three-dimensional analysis of blade force and sound generation for an annular cascade in distorted flows , 1977 .

[12]  John F. Groeneweg,et al.  Effects of Inflow Distortion Profiles on Fan Tone Noise , 1980 .

[13]  H. Schlichting Boundary Layer Theory , 1955 .

[14]  Edward Rademaker,et al.  Experimental Validation of Lifting Surface Theory for Rotor-Stator Interaction Noise Generation , 1998 .

[15]  D. L. Hawkings,et al.  Sound generation by turbulence and surfaces in arbitrary motion , 1969, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.