Team “Canard” September 19th, 2006 Aerodynamics 2 PDR Team “Canard” September 19th, 2006

Overview Aircraft Geometry: Aerodynamic Mathematical Model: - Airfoil selection for wing and tail - Wing and tail configuration - Aspect ratio and wetted area - 3-View drawing Aerodynamic Mathematical Model: - CL - CD - CM AAE 451 Team 1

Wing and Tail Geometry Wing Horizontal tail Maximum velocity : 115 ft/s Aircraft wetted area : 12.21 ft2   Wing Horizontal tail Airfoil MH 43 NACA 0006 Aspect ratio 8.65 6 Taper ratio 0.45 0.6 Sweep angle 9.95° 9.46° Dihedral angle 0.85° 0° Span 6 ft 1.79 ft Area 4.16 ft2 0.54 ft2 Reynolds number 511 463 220 472 AAE 451 Team 1

3-View Drawing AAE 451 Team 1

Mathematical Model Lift Coefficient 3D: (From Flight Stability and Automatic Control, Robert C. Nelson) CL: Total Lift Coefficient CLo: CL at α = 0 CL,αw: Lift coeff. slope for wing CL,αt: Lift coeff. slope for tail CL,δe: Lift coeff. slope due to δe η: Dynamic pressure ratio αw: Angle of attack for the wing αt: Angle of attack for the tail St/S: Horizontal Tail area/Wing area ratio δe: Elevator deflection angle AAE 451 Team 1

Wing Lift Coefficient Less than 2π AAE 451 Team 1

CL Plot for Wing Blue Line: XFOIL Red Line: 3D AAE 451 Team 1

Tail Lift Coefficient AAE 451 Team 1

CL Plot for Tail Blue Line: XFOIL Red Line: 3D AAE 451 Team 1

Elevator Effect on CL AAE 451 Team 1 (From Flight Stability and Automatic Control, Robert C. Nelson) AAE 451 Team 1

Maximum Lift Coefficient Needed CLMax CLMax from Lift Curve Needed ΔCLMax: 0.32 AAE 451 Team 1

Mathematical Model Drag Coefficient Small due to Swet AAE 451 Team 1

Drag Polar Blue Line: XFOIL Red Line: 3D AAE 451 Team 1

Mathematical Model Moment Coefficient 3D: (From Flight Stability and Automatic Control, Robert C. Nelson) Cm,δe : Change of Cm due to δe αw: Angle of attack for the wing δe: Elevator deflection angle Cm : Total Moment Coefficient Cmo : Cm at α = 0 Cm,αw : Change of Cm due to αw AAE 451 Team 1

Zero Moment Coefficient ac cg 25% 33% lt AAE 451 Team 1

Moment Coefficient AAE 451 Team 1

Moment Coefficient AAE 451 Team 1

Questions Any Questions? AAE 451 Team 1