Assignment 5 Solutions.pdf - Fluid Mechanics I ENGR 2097...

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Fluid Mechanics I ENGR 2097 Winter 2015 ASSIGNEMNT 5 *** Please refer to the course outline on D2L for assignment policies *** Question Q1 Q2 Q3 Q4 Q5 Marks 20 20 20 20 20 Use water density 1000 kg/m 3 , and gravitational acceleration 9.8 m/s 1. A sump pump is used to remove water that has accumulated in a water collecting sump tank in the basement of a house. The tank diameter is 60 cm, and the pump capacity is 90 L/min. The pump will automatically start when the water level in the tank is above 90 cm and stop when the water level is below 30 cm. During a flooding season, if you notice that the pump starts and runs for 2 minutes, please estimate the water flow rate entering the tank from the drain collecting system and predict how often the pump will start again. 2. Water flows steadily through the round pipe in the figure. The entrance velocity is assumed as uniform with 0 U . The exit velocity approximates turbulent flow described ( ) 7 / 1 max / 1 ) ( R r U r u = . Determine the ratio max 0 / U U for this incompressible flow. 3. Water is added to the tank (Length ࠵? and width ࠵? through an inlet at a constant volumetric flow rate of ࠵? . To prevent overflow, there is a rectangular opening of width ࠵? on the side wall with the opening bottom edge at height ࠵? When the water level is above the opening bottom edge ( Total 100 . as ) .

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