CVE 362 Hydraulics Lab

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Cleveland State University *

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362

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Mechanical Engineering

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Dec 6, 2023

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CVE 362 Hydraulics Lab

2 Lab 3: Calibration of a Venturi Meter Abstract The main objective of this experiment is to obtain the coefficient of discharge from experimental data by utilizing a venturi meter. To obtain that value, we first had to use the venturi meter to find the flow rate. That flow rate was the actual flow rate, and then we calculated the theoretical flowrate to perform the calculation C D = Q A Q T . Our results can be seen in the appendix for all 10 of our coefficients of discharge for each actual and theoretical flow rate. Introduction The Venturi meter is a tool used to measure the pressure on pipes. This tool is instrumental in finding information that is crucial to setting up piping and designing a hydraulic system. The Venturi meter is incredibly effective, it gives great and accurate results, while barely having any effect at all on the pressure and performance of the system. The Venturi meter works almost like a pitot tube, using the flow from the pipeline to give observers the ability to find the pressure in the pipeline. The main objectives of this experiment were to calibrate the Venturi meter, giving us a meter coefficient, which would help us with our calculations further down the road. Finding the Venturi meter coefficient is crucial to understanding how accurate and precise the meter you’re working with is. A coefficient closer to the number one means that the Venturi meter is well built and installed correctly. We ran this experiment on September 22, 2022, collected data, and then analyzed and synthesized the data into this report. Procedure 1. Ensure both the inlet and outlet valves are fully open. Turn on the power and set the pump control between 2000 rpm and 2200 rpm. 2. Close the outlet valve gradually until a water column is present in all the piezometers. 3. Adjust the outlet valve to produce the maximum possible differential height between the piezometers without causing water to flow into the manifold. 4. Allow a steady flowrate to develop in the whole circuit.

3 Lab 3: Calibration of a Venturi Meter 5. Measure the flowrate and the level of the water in each piezometer. Record the measurements. 6. Use the inlet valve to slightly reduce the flowrate such that the differential height is reduced in about 10 steps. 7. Measure and record the flowrate and the water levels at each of the 10 steps. Result and Discussion Based on the data we collected during the experiment, we were able to calculate the actual flowrate, theoretical flowrate, C D , Press Recovery, Average Press Recovery and Meter Coefficient. The values we found for each can be seen in the appendix. Based off the data we found our meter coefficient to be 0.9067 which is within the expected range of 0.80 to 0.95. Conclusion This experiment went very well and yielded great results. With the data we collected, we determined the flow rates and average pressure recoveries of the system. Using this, we found our way to the meter coefficient, a good indicator of the quality of the Venturi meter. With a coefficient of 0.9067, our results say this is a highly accurate Venturi meter.

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4 Lab 3: Calibration of a Venturi Meter Appendix A B D K H1 (m) H2 (m) H3 (m) H3 (m) Volume (m 3 ) Time (s) 0.216 0.21 0.078 0.19 0.00092 2.31 0.221 0.216 0.084 0.196 0.00096 2.66 0.23 0.228 0.098 0.208 0.001 2.81 0.25 0.248 0.128 0.23 0.00097 2.76 0.254 0.25 0.133 0.234 0.00095 3.14 0.268 0.264 0.152 0.246 0.00087 3.38 0.268 0.265 0.154 0.248 0.00088 3.18 0.3 0.296 0.206 0.282 0.001 3.41 0.308 0.304 0.21 0.29 0.00095 3.76 0.32 0.32 0.248 0.31 0.001 3.96 Flow Rate Theoretical Flow Rate C D Pressure Recovery Avg. Pressure Recovery Meter Coefficient 0.00039827 0.000376206 1.058644261 84.84848485 84.99123353 0.906738658 0.0003609 0.000374841 0.962815462 84.84848485 0.00035587 0.000367937 0.967209287 84.61538462 0.00035145 0.000353725 0.993565448 85 0.00030255 0.000352273 0.858845442 86.32478632 0.0002574 0.000344918 0.746255081 83.92857143 0.00027673 0.000341931 0.809313658 84.68468468 0.00029326 0.000310492 0.94448581 84.44444444 0.00025266 0.000317029 0.796959892 85.10638298 0.00025253 0.000271739 0.929292237 86.11111111 Equations  Actual Flow Rate : Q A = Vol Time  Theoretical Flow Rate : Q T = A 3 ( 1 √ 1 − h 2 ) √ 2 g H

5 Lab 3: Calibration of a Venturi Meter   H = H A -H D  C D = Q A Q T  Press Recovery = ( 1 − H B − H K H B − H D ) ∗ 100 -23 -22 -21 -20 -19 -18 -17 -16 -3.65 -3.6 -3.55 -3.5 -3.45 -3.4 -3.35 -3.3 f(x) = 0.03 x − 2.91 R² = 0.58 log(Flow Rate) vs. 2g*log( H) △ 2g*log( H) △ log(fow rate)