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Lab -3 Bernoulli Equation

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 validity of Bernoulli’s equation as applied to a tapering horizontal tube

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Lab -3 Bernoulli Equation

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  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 Bernoulli’s equation as applied • to a tapering horizontal tube • To determine if the variations in Static pressure head can be predicted by Bernoulli’s equation for tapering horizontal tube

  3. Figure1: Test Section and Manometer tubes

  4. Theory Bernoulli’s 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 d c e a Tube diameter (mm) a 25.0 b 13.9 c 11.8 d 10.7 e 10.0 f 25.0

  7. Diverging Converging Main Objective: Is Bernoulli’s 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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