Homework Assignment 3 – 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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MAE 360. Aerodynamics.
Homework Assignment 3. Due October 7.
1. Take the Stream Function Tutorial, which is on the course website: http://enpub.fulton.asu.edu/aero. The
tutorial works in Internet Explorer, but does not work in Google Chrome. I have not tested it with other
browsers. Be sure to submit your results before the due date for this assignment. We will not cover the
stream function in class, so you need to take this tutorial in order to complete the next problem on this
assignment.
2. Bertin and Cummings, problem 3.27.
3. Bertin and Cummings, problem 3.38.
4. Bertin and Cummings, problem 3.44.
5. Consider the cylinder in example 3.6 in the textbook. The MATLAB code, cylinder_source.m, solves
the numerical problem as outlined in the textbook for the incompressible, irrotation flow about a circular
cylinder. Using the code as your computational tool, compare the results from the "exact" solution for
the flow about a circular cylinder (doublet plus uniform flow) with the numerical one. Do this by plotting
the value of pressure coecient as a function of angle. Note that the code defines the angle starting
at the standard θ=0, but counting in a clockwise direction. (This is in accordance with the standard
way of designating "panels" in an airfoil panel code.) Determine the number of panels required for an
accurate solution. You should come up with a reasonable (quantitative) way to evaluate the accuracy of
the numerical method. (For example, how might you define a numerical error in this case?)
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MAE 360. Aerodynamics. Homework Assignment 3. Due October 7.

  1. Take the Stream Function Tutorial, which is on the course website: http://enpub.fulton.asu.edu/aero. The tutorial works in Internet Explorer, but does not work in Google Chrome. I have not tested it with other browsers. Be sure to submit your results before the due date for this assignment. We will not cover the stream function in class, so you need to take this tutorial in order to complete the next problem on this assignment.
  2. Bertin and Cummings, problem 3.27.
  3. Bertin and Cummings, problem 3.38.
  4. Bertin and Cummings, problem 3.44.
  5. Consider the cylinder in example 3.6 in the textbook. The MATLAB code, cylinder_source.m, solves the numerical problem as outlined in the textbook for the incompressible, irrotation flow about a circular cylinder. Using the code as your computational tool, compare the results from the "exact" solution for the flow about a circular cylinder (doublet plus uniform flow) with the numerical one. Do this by plotting the value of pressure coefficient as a function of angle. Note that the code defines the angle starting at the standard θ = 0, but counting in a clockwise direction. (This is in accordance with the standard way of designating "panels" in an airfoil panel code.) Determine the number of panels required for an accurate solution. You should come up with a reasonable (quantitative) way to evaluate the accuracy of the numerical method. (For example, how might you define a numerical error in this case?)