Consider the following simplified streamfunction for the oval: psi = r sin(theta
ID: 1939914 • Letter: C
Question
Consider the following simplified streamfunction for the oval:psi = r sin(theta) + [(theta1/pi) –(theta2/pi)]
where the first term corresponds to the left-to-right freestream, the second is the source
placed at, say, x=-1 and the third term is the sink of equal strength placed at x=+1.
Angles theta1 and theta2 are measured from the location of the source and the sink
respectively.
A- Using your favorite program (Mathematica, matlab, excel…) create a contour of the
function psi ranging from –3.0 to 3.0 in both x and y. The contour of psi=0 is the
shape of the body. Identify in the contour. You can do this by hand on your printout.
B- Determine the pressure coefficient at the point of maximum thickness (also max
speed) on this oval.
Let us break the fore-aft symmetry and generate our poor-person’s wing: with the
streamfunction: psi = r sin(theta) + [(theta1/pi) –0.75(theta/pi)-0.25(theta2/pi)] where
now instead of a single sink of strength –1 we are placing two sinks with strengths –0.75
and –0.25 behind the source. The net suction is the same so the streamlines are closed
again, but the shape should be elongated in the x direction. So now the source is still at
x=-1, the first sink is at the origin (hence no subscript for theta) and the second sink is at
x=+1.
C- Repeat A above, but for this airfoil.
D- Repeat B above, but for this airfoil.
Explanation / Answer
dude,solve on ur own. no one will waste so much time for 350 points.