ME 70 2008 Problems Week2

# ME 70 2008 Problems Week2 - These are given below y(ft...

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Prof. Cappelli Spring 2007-08 ME 70 Problems due Wednesday April 16, 2008 Hydrostatics (Pressure-Depth Relation) Solve: Problem 3.14 (Fox, McDonald and Pritchard) Problem 3.25 (Fox, McDonald and Pritchard) Buoyancy Solve: Problem 3.83 (Fox, McDonald and Pritchard) Forces on Submerged Surfaces Solve: Problem 3.43 ( Fox, McDonald, and Pritchard) Rigid Body Motion with Linear Acceleration Solve: Problem 3.100 (Fox, McDonald and Pritchard) Boundary Layer Study and Matlab Polynomial and Fitting Exercise Air at standard condition flows past a flat surface. Measurements are made at a position downstream of the leading edge of the velocity component parallel to the surface (u) and its variation with position away from the surface (y).
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Unformatted text preview: These are given below: y(ft) 0.005 0.01 0.02 0.04 0.06 0.08 u(ft/s) 0.74 1.51 3.03 6.37 10.21 14.43 (a) Using MATLAB , fit the velocity to a polynomial in y of the form: u c c y c y c y = + + + 1 2 3 2 4 3 and determine the fitting coefficients. (b) Plot the velocity distribution, and determine the shear stress at the wall. Hints: While there is no “one way” to do this in MATLAB, try fitting the discrete data with the POLYFIT command. I prefer to plot functions using the POLYVAL command, which constructs a set of discrete data from a function at specified intervals, and then, the PLOT command to plot these data. There are other ways too. Explore!...
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