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CVE 240-Assignment 8_CHAPTER 5 American University of Sharjah CVE 240

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American University of Sharjah Civil Engineering Department CVE 240 – FLUID MECHANICS ASSIGNMENT 8 Q.1) A long water trough of triangular cross section is formed from two planks as is shown in ... Figure 1. A gap of 0.254 cm remains at the junction of the two planks. If the water depth initially was 0.6 m how long a time does it take for the water depth to reduce to 0.3 m. (Answer 35.6 s) Q.2) A cylindrical tank (Figure 2) of diameter 50cm connected to a horizontal pipe (diameter is 8 cm) flow resulting in tank filling. The pipe inlet velocity is 5m/s while the outlet velocity is 3.5 m/s. Determine; a) The rate of change of height of water inside the tank b) The time required to fill the tank if the tank was initially empty. Not: Flow is incompresible. (Answer 3.84cm/s & 65.1s) Q.3) Water flows into the sink shown in Figure 3 and at a rate of 8L/min. If the drain is closed, the water will eventually flow through the overflow drain holes rather than over the edge of the sink. How many 1.0 cm diameter drain holes are needed to ensure that the water does not overflow the sink? Neglect viscous effects. (Answer 4 holes) Q.4) A rectangular swimming pool is 1m deep at one end and increases uniformly in depth to 2.6m at the other end (Figure 4). The pool is 8m wide into the paper and 32m long and is emptied through a pipe of 0.25 m2 , at the lowest point in the side of the deep end. Assume flow is frictionless & incompressible a) Determine the time for the depth to fall by 1m b) Determine the time to empty the pool completely. (Answers 160.69s & 355.64s) Q.5) The water in a 10m diameter, 2m high above ground swimming pool is to be emptied by unplugging a 3cm diameter small pipe attached to the bottom of the pool (Figure 5). a) Determine the maximum volumetric flow rate (discharge) through the pipe. b) Determine how long it will take to e [Show More]

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