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Homework 4 Solution

# Homework 4 Solution - AOE 3104 Homework#4 Solutions Problem...

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AOE 3104 Homework #4 Solutions Problem 1. Consider an airfoil in a 50 m/s air flow at standard sea level conditions. At a point on the airfoil, the pressure is 9 . 5 × 10 4 Pa. What is the pressure coefficient at this point? (Please use SI units for the result of each step.) Problem 1 Solution. For standard sea level conditions, we have P = 10 . 132 × 10 4 N / m 2 , ρ = 1 . 226 kg / m 3 Then ¯ q = 1 2 ρ V 2 = 1530 Pa . So C p = P - P ¯ q = (9 . 5 - 10 . 1) × 10 4 1532 . 5 = - 4 . 1 Problem 2. Consider an airplane with a wing area of 16m 2 and a wing span of 10m. In a 100 m/s air flow at standard sea level conditions, the wing is generating 80 , 000 N of lift. a) Calculate the lift coefficient. b) Assuming e = 0 . 85, calculate the induced drag coefficient and the induced drag force. (Please use SI units for the result of each step.) Problem 2 Solution. a) ¯ q = 1 2 ρ V 2 = 1 2 × parenleftBig 1 . 226 kg / m 3 parenrightBig × (100 m / s) 2 = 6 . 13 × 10 3 Pa Then we have C L = L ¯ q S = 80 , 000 (6 . 13 × 10 3 )(16) = 0 . 816 b) The aspect ratio is AR = b 2 S = 10 2 6 = 6 . 25. So the induced drag coefficient is:

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Homework 4 Solution - AOE 3104 Homework#4 Solutions Problem...

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