75%(12)9 out of 12 people found this document helpful
This preview shows page 1 - 6 out of 11 pages.
MAAE 2300 Fluid Mechanics IExperiment 3: Flow Through a Sluice Gateand Hydraulic JumpYu SunS#: 100988995[email protected]ton.caL8G8Date Lab performed: March 28, 2016Date lab submitted: April 03, 2016Summary
A hydraulic jump is used to release the excess kinetic energy inside the fluid to prevent in fromdamage the structure of the equipment or buildings. The purpose of the experiment is to measurethe behavior of water when passing through a hydraulic jump, and to test if the flow of water ispredictable. The measurement of two different water flow that passing through a hydraulic jumpwere used to determine the velocity and total head of the fluid.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 32.174 ft/s2)ρ: Density (water = 62.4 lb/ft3)z : Height (ft)m : Mass flow rate (lb/s)w : Width (ft)FlowAnalysis: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: (4)Bernoulli equation can be used to determine the velocity of water: 1/2 ρwaterv12+ρwatergz1= 1/2ρwaterv22+ρwaterg z2(5)The idealvelocity at position 2:121AVA=V
or(6)The total head at a particularpoint in a flow:AA-1（122PP（v22)2h1h(1)1h2h(g*2*2h1hV