Homework Assignment 6 – Aerodynamics | MAE 360, Assignments of Aerodynamics

Material Type: Assignment; Class: Aerodynamics; Subject: Mechanical and Aerospace Engineering; University: Arizona State University - Tempe; Term: Unknown 1989;

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Pre 2010

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MAE 360. Aerodynamics.
Homework Assignment 6. Due November 21.
1. Consider an airplane that weighs 14,700 N and cruises in level flight at 300 km/hr at an altitude of 3000 m.
The wing has a surface area of 17 m2and an aspect ratio of 6.2. Its zero lift angle of attack is 1.2and
it has an elliptical loading distribution. Calculate:
(a) the value of the circulation in the plane of symmetry (Γ0),
(b) the downwash velocity (w),
(c) the induced drag coecient (CDi),
(d) the geometric angle of attack (α), and
(e) the eective angle of attack (αe).
2. A planar wing has a symmetric airfoil and an aspect ratio of 7. Use the MATLAB program to compare
the lift and drag coecients for taper ratios of 0.1, through 1.0. How many terms in the series are required
for convergence? Plot CDi/C 2
Lvs. λ.Whatisu(Oswald eciency factor) for each case? Which taper
ratio seems to be optimum? Why?
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MAE 360. Aerodynamics. Homework Assignment 6. Due November 21.

  1. Consider an airplane that weighs 14,700 N and cruises in level flight at 300 km/hr at an altitude of 3000 m. The wing has a surface area of 17 m^2 and an aspect ratio of 6.2. Its zero lift angle of attack is − 1. 2 ◦^ and it has an elliptical loading distribution. Calculate:

(a) the value of the circulation in the plane of symmetry (Γ 0 ), (b) the downwash velocity (w), (c) the induced drag coefficient (CDi ), (d) the geometric angle of attack (α), and (e) the effective angle of attack (αe).

  1. A planar wing has a symmetric airfoil and an aspect ratio of 7. Use the MATLAB program to compare the lift and drag coefficients for taper ratios of 0.1, through 1.0. How many terms in the series are required for convergence? Plot CDi /C^2 L vs. λ. What is u (Oswald efficiency factor) for each case? Which taper ratio seems to be optimum? Why?