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Airfoil Design for a Helicopter rotor blade. Oct. 2002 Han Gil Chae. Overview. Introduction Aerodynamic Characteristics of a Rotor Blade Design Strategies Design Procedures Survey Optimization Methods Analysis Tools Flow Solvers Optimization Code Conclusions. Introduction.
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Airfoil Design for a Helicopter rotor blade Oct. 2002 Han Gil Chae
Overview • Introduction • Aerodynamic Characteristics of a Rotor Blade • Design Strategies • Design Procedures Survey • Optimization Methods • Analysis Tools • Flow Solvers • Optimization Code • Conclusions
Introduction Aerodynamic Characteristics of a Rotor Blade
Angle of attack qtw = -8 deg, m = 0.25 When Rotation Meets Translation... • An airfoil section meets different speed of air Periodically. • Angle of attack changes Periodically. • Point design may not be optimum.
Design Strategies Design Procedure Survey Optimization Methods
Point Design : Airfoil from Cp Find an airfoil which meets given Cp distribution • May satisfy all the characteristics we want • Difficult to get the optimum Cp distribution
Point Design : Airfoil from Cl, Cd Find an airfoil which gives the best Cl/Cd characteristics Single point Multi points • Easier than Cp • Possible worse performance at off-design points • May cause uneven surface
Robust Design : Design for uncertainties Probability of change in design point is considered Single point Robust • Better way for rotor blade airfoil • Still dealing with static characteristics
Dynamic Design : Near to the reality Dynamic characteristics are considered • The Best way for rotor blade airfoil • Requires an unsteady solver • Requires tremendous time
Optimization Methods MGM • Restricted to design with Cp Numerical • Suitable for most applications • May cause unexpected results RSM • Suitable for time consuming codes • Limited design range
Analysis Tools Flow Solvers Optimization Codes
Analysis Tools in Hand Code Method Restriction Language XFOIL Panel Subsonic Steady Fortran Pablo Panel Subsonic Inviscid Steady Matlab S2d N/S Steady Fortran Potential Potential Steady Inviscid Fortran
Analysis Tools : Validation CL CD CM NACA 0015, M=0.29, Re=1.59e6 CL/CD • XFOIL gives reasonable solution in seconds
Analysis Tools : Validation Cp Distribution NACA 0012, M=0.63, a=2 deg NACA 0012, M=0.72, a=0 deg • Most of codes generate good solutions
Optimization : Procedure • Steepest Ascent Method Find Steepest Direction Calculate Derivatives Calculate Object function Call XFOIL Modify Airfoil Shape Call XFOIL Compare for Minimum
Optimization : Shape functions • Polynomial functions • Hicks-Henne functions
Optimization : Valication • Symmetric Airfoil (NACA 64-015) Polynomial Hicks-Henne
Optimization : Valication • Cambered Airfoil (NACA 64110) Polynomial Hicks-Henne
Conclusions What was done Further study
What was done • Design method survey - Robust design method were selected • Analysis tool survey - XFOIL were selected • Optimization method - Steepest Ascent • Validation • XFOIL gives reasonable results • Hicks-Henne Shape function gives better results
Further Study • Basic sizing for reasonable M, Re and a • Random number generation for robust design • Modification of shape functions for T.E • Modification of optimization code
Questions ? Thank you