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hw8F10 - Find the stream function corresponding to the...

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AAE333 Fall 2010 Homework 8 Due: Mon Oct 25 10% bonus if turned in on Friday 10/22/10 1) Determine if the streamfunction ψ = 2 x y corresponds to an irrotational flow. 2) Determine the x, y velocity components corresponding to the streamfunction ψ = 2 x y 3) ψ Draw lines of constant = 2 x y in the square region 0<x<1, 0<y<1. Draw velocity vectors on this domain. (this is best done in Matlab using the functions CONTOUR and QUIVER, as demo’d in class Wed Oct 5) 4) Consider the 2D velocity field u=3 y, v=0: i. Is this flow incompressible? ii. Is there a stream function describing this flow? 5) The velocity potential φ = x + 0.1 ln(r) , where r = sqrt(x^2+y^2), corresponds to a uniform free stream flow over a point source (in 2D). i. Find the stream function corresponding to the above potential
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Unformatted text preview: Find the stream function corresponding to the above potential ii. Plot the streamlines, including the streamline passing through the stagnation point. 6) An airplane flies at sea level. The pitot tube reads a pressure of 1.03 atm. What is the air speed of the plane? 7) A circular cross section tube with radius 1cm has a narrow section with minimum radius 0.5cm. The pressure difference between a point upstream from the narrows and the throat is 450 Pa. The fluid is air. What is the volume flow rate in the tube in liters/min? 8) A blow-down wind tunnel test section has an air speed of 150mph and a pressure of 1 atm. It is fed by a large pressurized tank. What does the pressure in the tank need to be?...
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