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hw2F10

# hw2F10 - conditions The free stream velocity is 1m/s in the...

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AAE333 Fall 2009 Homework 2 Due: Wed Sept 8 (due to Labor Day holiday) 10% bonus if turned in on Friday 9/3/10 1. Consider the example problem begun in class on 8/30: A surface lies between (x,y)=(0,0) and (1,0.2). The pressure and shear stress on the upper surface of this line are p=-.02+.01 x τ =.003 + .005 x^2 where τ should be understood as the tangential force per unit ( , ) area acting along the direction from leading edge 0 0 to ( ,. ) trailing edge 1 2 Determine the x and y components of total force on the upper surface (per unit width). How much of these forces result from pressure? Now suppose the conditions on the lower surface of the plate are p=-.02-.01 x τ =-.003 - .005 x^2 where τ should be understood as the tangential force per unit ( ,. ) area acting along the direction from trailing edge 1 2 to ( , ). leading edge 0 0 Determine the net resultant forces on the lower surface Determine the net resultant forces from both the upper and lower surfaces 2. Assume the plate in problem 1 is in a uniform free stream flow of air (at standard

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Unformatted text preview: conditions). The free stream velocity is 1m/s in the +x direction. The pressures reported in problem 1 are gage pressures in Pa, and the shear stresses are in Pa. Determine the free stream dynamic pressure Determine the lift and drag coefficients (based on chord and unit width) AAE333 Fall 2009 3. Suppose you are given a velocity V, a density ρ and a viscosity µ Find a combination of the three that has units of time Find a combination of the three that has units of length Find a combination of the three that has units of mass Consider air at standard conditions, moving with a velocity of 1 m/s. What is the characteristic time in seconds, the length in meters and the mass in kg? You should note that these are all extremely small quantities by normal standards. They represent the scale at which viscosity would be dominant (viscosity dominates the life of an amoeba!)...
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