# MAAE 2300 Lab 3 2017.doc - MAAE 2300 Fluid Mechanics I...

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MAAE 2300 Fluid Mechanics I W2017Experiment 3: Flow through a Sluice Gateand Hydraulic JumpYu SunS#: 100988995[email protected]L11Date Lab performed: March 21, 2016Date lab submitted: March 28, 2016TA: Mohammadreza H Pebdani
SummaryA hydraulic jump is used to release the excess kinetic energy inside the fluid toprevent in from damage the structure of the equipment or buildings. The purpose ofthe experiment is to measure the behavior of water when passing through a hydraulicjump, and to test if the flow of water is predictable. The measurement of two differentwater flow that passing through a hydraulic jump were used to determine the velocityand total head of the fluid.Via calculation, the experimental velocity at positon 2 is 5.48m/s for flow 1 and the6.36m/s for flow 2. The theoretical velocities for flow 1 and 2 are 2.78m/s and2.47m/s at position 2 respectively. The theoretical head change before the Hydraulicjump and after the jump for flow 1 is 0.2575m, and 0.1581m foe flow 2. Theexperiment might have reading error for the V-notch water level for flow 2, whichwill be discussed in the Results and Discussion section.NomenclatureP : Pressure (Patm= 101325pa=14.645 psi)V : Velocity (ft/s)Q : Flow rate (ft3/s)H: Total Head (ft)A : Cross sectional area (ft2)h :The height of head g : Acceleration due to gravity (feet/second2 32.174ft/s2)ρ: Density (water = 62.4 lb/ft3)z : Height (ft)
m : Mass flow rate (lb/s)w : Width (ft)Flow Analysis:The volume flow rate through a 90 degree V-notch :Q = 2.5H2.5 (1)Or the volume flow rate can be calculated with velocity and cross sectional area:Q = V*A (2)Mass flow rate:m = Q*ρ = ρAV(3)Due to the continuity of mass flow rate:m1 = m2ρA1V1= ρA2V2Then the equation can be write as: 1221AVA=V(4)Bernoulli equation can be used to determine the velocity of water: 1/2 ρwaterv12watergz1= 1/2ρwaterv22waterg z2(5)The idealvelocity at position 2:AA-121221222PPvor(6)
22)21(1)12(*2*21hhhhghhVThe total head at a particular point ina flow:zgVgPHtot