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

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MAAE 2300 Fluid Mechanics I Experiment 3: Flow Through a Sluice Gate and Hydraulic Jump Yu Sun S#: 100988995 [email protected]ton.ca L8G8 Date Lab performed: March 28, 2016 Date lab submitted: April 03, 2016 Summary
A hydraulic jump is used to release the excess kinetic energy inside the fluid to prevent in from damage the structure of the equipment or buildings. The purpose of the experiment is to measure the behavior of water when passing through a hydraulic jump, and to test if the flow of water is predictable. The measurement of two different water flow that passing through a hydraulic jump were used to determine the velocity and total head of the fluid. Nomenclature P : Pressure (Patm= 101325pa= 14.645 psi) V : Velocity ( ft/s) Q : Flow rate ( ft 3/s) H : Total Head ( ft) A : Cross sectional area ( ft 2) h : The height of head g : Acceleration due to gravity ( feet/second 2 32.174 ft/s 2) ρ : Density (water = 62.4 lb/ ft 3 ) z : Height ( ft) m : Mass flow rate ( lb/s) w : Width (ft) Flo w Analysis: The volume flow rate through a 90 degree V-notch : Q = 2.5H 2.5 (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 o f mass flow rate: m1 = m2 ρA 1 V 1 = ρA 2 V 2 Then the equation can be write as: (4) Bernoulli equation can be used to determine the velocity of water: 1/2 ρ water v 1 2 water gz 1 = 1/2ρ water v 2 2 water g z 2 (5) The idea l velocity at position 2: 1 2 1 A V A = V
or (6) The total head at a particular point i n a flow: A A - 1 1 2 2 P P v 2 2 ) 2 h 1 h ( 1 ) 1 h 2 h ( g * 2 * 2 h 1 h V
(8) Since the z is 0 in this lab.

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