MATLAB Assignment due tonight PB

MAE 561, Wing Theory Programming Assignment 2 and HW 3 Programming Assignment 2 (100 points) a (80 points) Write a code based on the discrete-vortex implementation of th e Weissinger’s method (essen- tially a vortex-lattice method with 1 chordwise panel) for sub sonic wings. The code should be able to handle sweep, taper, and twist on symmetric planar win gs. Use constant-length and equally-spaced panels in the spanwise direction. Use 50 latti ces per half span of the wing in all the analyses.

b (10 points) Provide a brief writeup of your method. Include a listing of yo ur code. Check your answers with the solution that I have provided separately for the simple case.

c (10 points) Validate your program by comparing it with the straight wing r esults from your lifting-line theory program of HW 2 for the rectangular and tapered wings. Co mpare the plots of sectional lift coe cient ( C l) and span load ( cC l/c avC L), and values for total C L and C Di from the two methods for both the wings.

HW 3 (100 points) a (25 points) Study the e ect of sweep on a subsonic wing. Use an AR=10 wing of constan t chord with no twist. Sweep the wing with = 0, 15, 30, 45 deg. while maintain ing the aspect ratio.

What is the e ect on the lift-curve slope, the span load and the in duced drag?

b (25 points) Using the AR=10 wing, study the e ect of twist by adding 2 deg of washin then washout.

What is the e ect?

c (25 points) Using the AR=10 wing, study the e ect of taper by analyzing wings wi th taper ratio of 1, 0.5, and 0.1. What is the e ect?

1 of 2 d (25 points) Come up with a parametric study of your own choice (of approximately the same level of di culty as the problems a–c above). Use your Weissinger’s meth od code to study that problem. Make sure you describe the problem well enough so that I understand your problem and the solution.

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