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Lab -3 Bernoulli Equation

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Lab -3 Bernoulli Equation General Information Worksheet and Spreadsheets due Thursday by 12 noon Lab Reports due Tuesday by 4.00 pm Objectives To investigate the ... – PowerPoint PPT presentation

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Title: Lab -3 Bernoulli Equation


1
Lab -3 Bernoulli Equation
  • General Information
  • Worksheet and Spreadsheets due Thursday by 12
    noon
  • Lab Reports due Tuesday by 4.00 pm

2
  • Objectives
  • To investigate the validity of Bernoullis
    equation as applied
  • to a tapering horizontal tube
  • To determine if the variations in Static
    pressure head can be predicted by Bernoullis
    equation for tapering horizontal tube

3
Figure1 Test Section and Manometer tubes
4
Theory Bernoullis Equation
.(1)
If horizontal tube leveled correctly, then z1
z2, and equation 1 is then simplified to
..(2)

pressure head or static head hs
velocity head hv
Total head hT hs hv
5
Assumptions
  • Bernoulli made some assumptions for his equation
    to work
  • Inviscid (no shear stress)
  • Flow is steady
  • Points 1 and 2 which you are comparing are in
    the same streamline
  • Density of the fluid is constant
  • System is not accelerating

6
76.08
55.46
15.8
7.4
2.9
5.0
f
b
c
d
e
a
Tube diameter (mm) a
25.0 b
13.9 c 11.8
d 10.7
e 10.0 f
25.0
7
Main Objective Is Bernoullis equation
validated? Why/ Why not?  
Any assumptions violated?   In the Data
Sheet hsm static head measured and hTm total
head measured   Measurement Points
Static probe / Piezometer measures static heads
or pressure heads Pitot Probe total
head
8
Analysis
  • Determine three flow rates ( High / Medium / Low)
  • Calculate the velocity head at each cross section
  • Calculate the best estimate of the total head hT
    in the tube
  • Predict the variation of static pressure head hSc
    along the length of the tube - Compare measured
    static head to calculated static head value
  • Graph values of hT htm hSm hsc hvc as a
    function of position along the tube
  • Discuss the converging and diverging section and
    how the values change within them
  • Discuss the effect of change in flow rate on
    observations
  • Comment on validity of B.Eq. for convergent and
    divergent flows
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