A review of propeller modelling techniques based on Euler methods

Future generation civil aircraft will be powered by new, highly efficient propeller propulsion systems. New, advanced design tools like Euler methods will be needed in the design process of these aircraft. This report describes the application of Euler methods to the modelling of flowfields generated by propellers. An introduction is given in the general layout of propellers and the propeller slipstream. It is argued that Euler methods can treat a wider range of flow conditions than the classical propeller theories. The power of Euler methods lies in the fact a separate wake model is not needed because their solution includes the propeller slipstream. Two different ways are described of modelling the propeller slipstream using Euler methods. These are the time-accurate approach that uses the real propeller geometry and the time-averaged approach using an actuator disc representation of the propeller. Both techniques and their specifics concerning the grid and the boundary conditions that have to be imposed are described. The results of a few propeller calculations using Euler methods are described. Discrepancies between experiments and the simulations can of ten be traced back to the neglect of the physical viscosity and the quality of the grid. Research is still ongoing into further improving the mathematical flow models and using new concepts like grid adaption.

[1]  Erwin Mooij,et al.  The motion of a vehicle in a planetary atmosphere , 1994 .

[2]  D. Eckardt,et al.  Turbofan and propfan as basis for future economic propulsion concepts , 1986 .

[3]  Laurence Eugene Fogarty The Laminar Boundary Layer on a Rotating Blade , 1951 .

[4]  C. Wohlever A preliminary evaluation of the B2000 nonlinear shell element Q8N.SM , 1995 .

[5]  A. Jameson,et al.  Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes , 1981 .

[6]  N. J. Yu,et al.  Flow simulations for nacelle-propeller configurations using Euler equations , 1984 .

[7]  C. M. Wentzel The application of the finite element method to an aerodynamic problem specific to propeller design , 1990 .

[8]  S. Goldstein On the Vortex Theory of Screw Propellers , 1929 .

[9]  F. Motallebi Prediction of mean flow data for adiabatic 2-D compressible turbulent boundary layers , 1995 .

[10]  J. C. Narramore,et al.  Navier-Stokes calculations of inboard stall delay due to rotation , 1992 .

[11]  J. P. Sullivan,et al.  Unsteady wing surface pressures in the wake of a propeller , 1992 .

[12]  T. Alan Egolf,et al.  An analysis for high speed propeller-nacelle aerodynamic performance prediction. Volume 2: User's manual , 1988 .

[13]  N. J. Yu,et al.  Flow simulations for a complex airplane configuration using Euler equations , 1987 .

[14]  P. F. Yaggy,et al.  Laminar boundary layers on helicopter rotors in forward flight. , 1968 .

[15]  R. Rajagopalan Navier-Stokes analysis of the performance and flow field of single and counter-rotation propellers , 1988 .

[16]  A. Jameson,et al.  Three-dimensional Euler equation simulation of propeller-wing interaction in transonic flow , 1983 .

[17]  A. Vlot,et al.  High strain rate tests on fibre metal laminates , 1998 .

[18]  Jeffrey S. Marshall,et al.  Vortex cutting by a blade. I - General theory and a simple solution , 1994 .

[19]  G. Schouten,et al.  Static pressure in the slipstream of a propeller , 1982 .