LabReport2.pdf - 1 Summary The purpose of this report is to...

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Fluid Mechanics MAAE2300 Experiment 2 Jet Pump Jeremy Levasseur 101030732 [email protected] 2018 March 19 TA: Adria Barcelo Singh Thursdays: 4:00pm - 5:30pm Group Number 6 Group Members Matthew Betts 101031952 Harrison Rothwell 101043356 1
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Contents 1 Summary 3 2 Nomenclature 4 3 Flow Analysis 5 3.1 Primary Stream . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.2 Secondary Stream . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.3 Tertiary Stream . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 4 Experimental Setup and Procedure 8 5 Results and Discussion 9 6 Conclusion 12 7 References 12 8 Appendices 13 8.1 Appendice A - Signed Data Sheet . . . . . . . . . . . . . . . . . . . 13 8.2 Appendice B - Sample Calculations . . . . . . . . . . . . . . . . . . 15 8.2.1 Actual Static Pressure . . . . . . . . . . . . . . . . . . . . . 15 8.2.2 Primary Stream . . . . . . . . . . . . . . . . . . . . . . . . . 15 8.2.3 Secondary Stream . . . . . . . . . . . . . . . . . . . . . . . . 15 8.2.4 Tertiary Stream . . . . . . . . . . . . . . . . . . . . . . . . . 16 8.2.5 Pitot Tube Calculations . . . . . . . . . . . . . . . . . . . . 17 8.3 Appendice C - Data Tables . . . . . . . . . . . . . . . . . . . . . . . 18 2
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1 Summary The purpose of this report is to compare the performance of a Jet Pump apparatus with a corresponding theoretical analysis of the flow. The theoretical analysis is based on some suitable simplifying assumptions. The validity of these assumptions is evaluated with the measurements obtained throughout this experiment. A Jet pump is a device that has no moving parts which is used to pump fluids that are dangerous to moving parts (corrosive, etc.). A high velocity, primary stream is injected into the fluid to be pumped (the secondary stream) in a tube. Through mixing, the secondary stream is accelerated and has its pressure increased. It was found that the pressure of the secondary stream does increase when it is fully mixed with the primary stream, however, it did not increase as much as the theoretical calculations predicted. This mainly due to the fact that the flow is assumed to be laminar, when in reality there is turbulence. It was also found that the measured values of the velocity at the end of the mixing tube agreed with the simplifying assumption that the velocity flow is uniform, especially for higher flow rates. It can be concluded that this relationship is a function of the flow rate. The measured volumetric flow rate for a low flow rate has a 17.2% error, while the measured value for the high flow rate has a 65.65% error. Therefore, from this experiment it can be concluded that a higher flow rate yields a less accurate prediction of the volumetric flow rate. This is due to irreversibilities that occur during the mixing process, such as a frictional force along the walls of the apparatus. 3
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2 Nomenclature Table 1: Symbols Name Symbol Units Specific Weight of Water γ water N/m 3 Density of Water ρ water kg/m 3 Density of Air ρ air kg/m 3 Acceleration due to Gravity g m/s 2 Atmospheric Pressure P atm Pa Static Pressure P stat Pa Dynamic Pressure P dyn Pa Stagnation Pressure P stag Pa Pressure Upstream of Nozzle P C 1 Pa Pressure At Nozzle Outlet P C 2 Pa Primary Pressure P p Pa Secondary Pressure P s Pa Tertiary Pressure P t Pa Primary Velocity V p m/s 2 Secondary Velocity V s m/s 2 Tertiary Velocity V t m/s 2 Primary Volumetric Flow Rate Q p m 3 /s Secondary Volumetric Flow Rate Q s m 3 /s Tertiary Volumetric Flow Rate Q t m 3 /s Nozzle Radius r noz m Tube Radius r tube m Primary Area A p m 2 Secondary Area A s m
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