Homework 3

Homework 3 - H = above-ground swimming pool for water 3...

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AE 2020 LOW-SPEED AERODYNAMICS Assignment # 3 Please show your work for credit. Vorticity, Streamline and Bernoulli Problems 1) For an incompressible, inviscid flow with no body forces in 2-D the velocity is given by r V = ( 3x - 2y ) t ˆ i + ( x - 3y ) t ˆ j Note that x and y are in feet, t is in seconds, and r V is in ft/sec. a) Does this flow satisfy continuity? b) Is it irrotational? c) Compute the convective acceleration at ( x , y , t ) = ( 3 , 2 , 4 ) . Hint: consider the meaning of the terms in the substantial derivative. 2) For an incompressible, inviscid flow with no body forces in 2-D the velocity is r V = 3x 2 t ˆ i + 2xy t ˆ j a) Is this velocity field realistic? b) Obtain the equations of the streamlines. 3)

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4) Consider the 4m deep (
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Unformatted text preview: H = ), above-ground swimming pool ( for water: 3 / 1000 m kg = ρ ) with a very small hole at the location shown ( m H 5 . 1 = ). Assume steady flow with no losses. Find the speed of the water exiting the hole. 5) Air is drawn form the atmosphere at standard sea level conditions into a wind tunnel as shown. The test section air velocity is 100 MPH. What is the stagnation pressure at the stagnation point on the model in the test section? What is the static pressure in the test section with the model removed? 6) 7) Note: For this problem, the “gage” pressure given is based on the atmospheric pressure at 8km (not sea level atmospheric pressure)…...
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Homework 3 - H = above-ground swimming pool for water 3...

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