3241: MAE Aerodynamics and Flight Mechanics Homework #7
Assigned: April 4, 2007 Due: April 16, 2007
Complete the following problems from Fundamentals of Aerodynamics, 4th Edition: 5.3 5.4 5.5 5.6 5.7 Note: Problems 5.6 and 5.7 make use of the Helmbold and Kuchemann equations given in the Design Box on page 442. Also complete the following questions: Question 1: In order to transform Equation 5.33 into Equation 5.34, Anderson uses the coordinate transformation: y= b cos 2 b dy = - sin d 2
Later when considering the general lift distribution in Section 5.3.2, Anderson transforms Equation 5.31 into 5.47 using the transformation b = y - cos 2 Why do Sections 5.3 and 5.3.2 use similar coordinate transformations, yet one is positive and the other negative? To help answer this question, compare Figure 5.11 and 5.12. Question 2: As derived in class and in Section 5.3.1 of Anderson, an elliptic wing has a constant downwash below the wing span. What is the downwash outboard of the wing tip, but still inline wit...