Water drains from a tank through a thin horizontal pipe. Since the pipe has a small cross section, the flow speed is higher than in the tank itself.
Data of water levels in the tank (upper curve) and in the first vertical pipe (lower curve) is given in the graph. Consider the point in time at t = 50 s.
a. What is the fluid pressure at the bottom of the tank? b. What is the pressure at the pipe inlet? c. What is the rate of change of volume of the tank? What is the volume current through the horizontal pipe? d. What is the flow speed in the horizontal pipe? e. According to Bernoulli's principle, the flow speed in the pipe (v2) and in the tank (v1) should be related to the pressure difference from point 1 to 2 (delta_p = 0.5*density* (v2^2 - v1^2)). How well do your results agree with Bernoulli's principle? f. Use the data file (Bernoulli.xls) to determine the Bernoulli pressure difference as a function of flow speed. Does the result support Bernoull's principle? | | 
Click to obtain graph as pdf. Upper curve: Level in tank; lower curve: level in first small pipe. |
