A linear aerodynamic analysis for unsteady transonic cascades

作者: J. R. Caspar , J. M. Verdon

DOI:

关键词: PhysicsMach numberTurbomachineryFinite differenceMechanicsPotential flowTransonicAerodynamicsSupersonic speedTwo-dimensional flow

摘要: A potential flow analysis to predict unsteady airloads produced by the vibrations of turbomachinery blades operating at transonic Mach numbers is presented. The aerodynamic model includes effects blade geometry, finite mean pressure variation across row, high frequency motion, and shock motion within framework a linearized, domain formulation. equations are solved implicit, least squares, difference approximation which applicable on arbitrary grids. numerical solution for entire field determined matching rectilinear type cascade mesh, covers an extended passage region, detailed polar local extends well beyond supersonic region(s) adjacent surface. Cascades double circular arc flat plate demonstrate analysis, partially illustrate inlet number, vibration response.

参考文章(17)
Antony Jameson, Iterative solution of transonic flows over airfoils and wings, including flows at mach 1 Communications on Pure and Applied Mathematics. ,vol. 27, pp. 283- 309 ,(1974) , 10.1002/CPA.3160270302
EARLL M. MURMAN, Analysis of Embedded Shock Waves Calculated by Relaxation Methods AIAA Journal. ,vol. 12, pp. 626- 633 ,(1973) , 10.2514/3.49309
Joseph M. Verdon, Joseph R. Caspar, Development of a linear unsteady aerodynamic analysis for finite-deflection subsonic cascades AIAA Journal. ,vol. 20, pp. 1259- 1267 ,(1982) , 10.2514/3.51186
G. B. Whitham, Richard G. Fowler, Linear and Nonlinear Waves ,(1974)
Joseph R. Caspar, David E. Hobbs, Roger L. Davis, Calculation of Two-Dimensional Potential Cascade Flow Using Finite Area Methods AIAA Journal. ,vol. 18, pp. 103- 109 ,(1980) , 10.2514/3.50738
EARLL M. MURMAN, JULIAN D. COLE, Calculation of plane steady transonic flows AIAA Journal. ,vol. 9, pp. 114- 121 ,(1970) , 10.2514/3.6131