Complete the questions 1-6 in the attached document
the only data from the text required for this assignment is the airfoil data in appendix d. I am unable to upload the entire text book.
In the book and presentations, we used dimensional analysis to derive the expression
L=q∞Scl. Now use dimensional analysis to derive M=q∞Sccm.
Use the following airfoils from the back of the book: NACA 1412, NACA 2412, NACA
4412, NACA 0006, and NACA 0009. For this question, use the airfoil data that is closest
to a Reynolds number of 6 million. Make sure you are using the correct curve. DO NOT
use the “Standard roughness” or flap curves.
a.
b.
c.
d.
For each airfoil, what is the maximum percent camber, the location of the
maximum camber, and the maximum percent thickness?
Using the airfoil data in the back of the book, what is the αL=0, cl at α=0, and cm at
α=0 for each airfoil?
From the information in (b), what can you say about the effect of camber? What is
special about the lift and moment for the symmetric airfoils?
For the symmetric airfoils, use the data in the back of the book to find clmax and
αstall.
From the information in (d), what is the effect of thickness on the lift curve?
e.
3. Use the provided pressure coefficient distribution and Excel
a. Plot the Cp distribution. Make sure to use the convention where the Cp axis is
flipped (i.e. the negative Cp values are above the x-axis). Include your name in the
a.
4. Using the minimum Cp from the last question and Excel
Let the minimum Cp from earlier be Cp,0. Use the Prandtl-Glauert rule to plot Cp
c.
d.
plot title.
b. Find the minimum (most negative) Cp value.
Use the trapezoidal rule to find cl. Since the chord length in the provided
distribution is 1, the integral to find cl is simplified. cl=∫01Cp,l dx-∫01Cp,u dx
Explain the steps you took in (c) in using the trapezoidal rule to find cl
from M∞=0 to M∞=0.8 with a maximum interval of ΔM=0.01. Include your name in the
plot title.
b. On the same plot, add the Cp,cr equation from the book and presentation from
M∞=0.4 to M∞=0.8
c. From the plot, what is Mcr and Cp,cr of the airfoil (to the closest 0.01 Mach)?
5. Reduce the magnitude of the minimum Cp from the previous question by 30% (multiply by
0.7). Now use the iterative method to find Mcr and Cp,cr
6. Assume you have a supersonic airfoil at M∞=1.75
a. If the airfoil has the same cl as the one you found in question 3, what is the angle
of attack α in radians and degrees?
b. What is the wave drag coefficient cdw?
Uncategorized
Complete the questions 1-6 in the attached document the only data from the text
- Posted
- AuthoradminX
- Length456 words
- Reading time2 min
Make your next academic task easier to manage
Tell us what you are working on and take the next step with Treatisely.