Consider two communicating tanks (one smaller, one larger) where the larger one has an additional outflow. In the accompanying data sheet (=> Two_Tanks_Outflow.xls), level and volume data for the two tanks is reported. The graph on the right shows the volumes as functions of time. The diameters of the tanks are 99 mm and 149 mm, respectively.
a. Roughly determine the rate of change of volume for both functions at a few important points. Then sketch the rates of change as functions of time. b. Formulate the law of balance of volume for Tank 1 and determine the flow through Pipe No. 1. c. Write down the law of balance of volume for Tank 2 in its instantaneous (dynamical) form. d. Find the volume current through Pipe 2. e. Determine how much liquid has flowed through Pipe 1 during the entire process (called the volume exchanged).
Do b–e first by sketching the functions by hand. Then do the problems by using a spread sheet and the data in the data sheet (=> Two_Tanks_Outflow.xls) | |
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