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quiz1_f03

# quiz1_f03 - 2.25 ADVANCED FLUID MECHANICS QUIZ 1 TUESDAY...

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2.25 ADVANCED FLUID MECHANICS QUIZ 1 TUESDAY, OCTOBER 6, 2003, 7:00-9:00 P.M. OPEN QUIZ WHEN TOLD AT 7:00 PM THERE ARE TWO PROBLEMS

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2.25 Advanced Fluid Mechanics Quiz 1, 2003 PROBLEM 1 An inventor has proposed an inexpensive, expendable device for measuring lung function in humans. It consists of a round Plexiglas tube (inside radius R ) with a slit of width w running down the length of it, as shown below. Inside is a lightweight, freely movable but well-fitting “piston” attached to a linear spring. The equilibrium position of the piston is at x =0, where the slit begins. The piston’s equilibrium displacement x is related linearly to the force that is acting on it, F=kx , where k is given. The idea is to have the patient exhale as hard as he can into the tube for a few seconds and measure the piston position x during this time. Derive equations for (a) the volume flow rate Q , and (b) the gage pressure p in the tube, during the exhalation, expressed in terms of the piston position x and quantities that are either explicitly given above, or that you feel should be given. Assume that the slit width
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quiz1_f03 - 2.25 ADVANCED FLUID MECHANICS QUIZ 1 TUESDAY...

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