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Solutions+PS+2+2009

# Solutions+PS+2+2009 - SOLUTIONS ME 70 Problems due...

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SOLUTIONS Prof. Cappelli Winter 2008-09 ME 70 Problems due Wednesday January 21, 2009 Hydrostatics (Pressure-Depth Relation) Solve: Problem 3.17 (Fox, McDonald and Pritchard) Problem 3.24 (Fox, McDonald and Pritchard) Buoyancy Solve: Problem 3.88 (Fox, McDonald and Pritchard) Rigid Body Motion with Linear Acceleration Solve: Problem 3.114 (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). These are given below: y(ft) 0 0.005 0.01 0.02 0.04 0.06 0.08 u(ft/s) 0 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.

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Solutions+PS+2+2009 - SOLUTIONS ME 70 Problems due...

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