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me375_sp11_hwk09

# me375_sp11_hwk09 - ME 375 HOMEWORK#9 Spring 2011 Out Mar...

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_ 1 _ ME 375 HOMEWORK #9 Spring 2011 Out: Mar. 25 th , 2011 Due: Apr. 1 st , 2011 Problem #1 (30%) Consider the following system diagram, which represents a pump driven water flow source for a fire truck. The accumulator with capacitance C f is used to dampen the pressure and flow oscillations that occur when the end of the fire hose is quickly opened or closed. Flows Q 1 and Q 2 are volumetric flow rates. Determine the input output differential equation with P s (t) as the input, and P 3r = P 3 -P r , as the output. Known constants are R 1 , R 2 , I, P r , and C f . P sr (t)

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_ 2 _ Problem #2 (30%) Consider the following system diagram, representing the process of filling a remote tank in a batch process at a chemical plant. a) Assuming the shut-off valve is open. Derive the input-output differential equation assuming that P s (t) is the input, and P 3r = P 3 -P r , is the output. Known constants are R f , I, A t , and P r . Assume the density of the fluid in the tank is ρ .
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