# ecm 9 soln - ECM 5 Winter 2009 Problem Set 9 Due 1 A tank...

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ECM 5 Winter, 2009 Problem Set 9 Due 2/9/09 1. A tank like the one you used in the laboratory was used to generate data for h vs. t as the tank drained ( h is the height of water above the orifice and t is the time when the draining started). The tank is cylindrical and the cross-sectional area A is 1662 cm 2 . An identical tank (called the upper tank) is mounted above this tank (now called the lower tank), so that all the water that drains from the upper tank flows into the lower tank. There is also a water pipe with a valve that can be used to feed water into the lower tank at a constant, but adjustable, volumetric flow rate. The valve allows adjustment of the flow rate of water into the lower tank. A. Identify each of the terms in the mass balance for the upper tank; describe each term in words. We first start with our general mass balance. m in " m out = dM dt The upper tank has no in-flow rates, so we recognize that the tank mass balance simplifies. " m out = dM dt With these terms, we identify that the one on the left side of the equation represents the height-dependent mass flow rate out of the bottom of the tank. The right side of the equation represents the rate of change in mass of the tank with regards to time.

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ecm 9 soln - ECM 5 Winter 2009 Problem Set 9 Due 1 A tank...

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