Consider two communicating tanks (one smaller, one larger) where the larger one has an additional outflow.
In the accompanying data sheet (see => Two_Tanks_Outflow_2.xls), level data for the two tanks is reported. The graph on the right shows the levels as functions of time. The diameters of the tanks are 99 mm and 149 mm, respectively.
a. Explain why the two curves cross where Tank 1 has a maximum of its water level. b. Sketch the levels as functions of time which we would get if there were no outflow. (Hint: first calculate the inital rates of change and final level that would be attained.) c. What is the capacitance of each tank? What is the capacitance of the two tanks combined? d. For the beginning of the process, estimate the flows through the pipes. e. Assume the flows to be turbulent. Calculate the flow factors for the pipes. f. Use the flow factor to determine the flows through the connecting pipe for a few points in time. Compare to a numerical analysis done in the spreadsheet. g. Determine the flow characteristic for Pipe 1 (use data for the first 100 s). Try to identify laminar and turbulent regimes. For the turbulent part, does the flow factor agree with the one you determined in e?
Work first by hand if possible. Then do the problems by using a spread sheet and the data in => Two_Tanks_Outflow_2.xls. | |
Click to obtain pdf for printing
|
