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Measuring Turbulent Flows

Overview

Source: Ricardo Mejia-Alvarez and Hussam Hikmat Jabbar, Department of Mechanical Engineering, Michigan State University, East Lansing, MI

Turbulent flows exhibit very high frequency fluctuations that require instruments with high time-resolution for their appropriate characterization. Hot-wire anemometers have a short enough time-response to fulfill this requirement. The purpose of this experiment is to demonstrate the use of hot-wire anemometry to characterize a turbulent jet.

In this experiment, a previously calibrated hot-wire probe will be used to obtain velocity measurements at different positions within the jet. Finally, we will demonstrate a basic statistical analysis of the data to characterize the turbulent field.

Procedure
  1. Measure the width of the slit, W, and record this value in table 1.
  2. Set the hot-wire anemometer at a distance from the exit equal to x = 1.5W along the centerline. Record this streamwise position in table 2. The centerline is the origin of the spanwise coordinate (y = 0).
  3. Start the data acquisition program for traversing the jet. Set the sample rate at 500 Hz for a total of 5000 samples (i.e. 10s of data).
  4. Record the current spanwise position of the hot-wire in table 3.

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Results

Figure 5 shows the distribution of average velocity across the jet at the downstream position x = 3W. And Figure 6 shows the distribution of turbulence intensity across the jet at the same downstream position. Table 3 has the results for the local values of average velocity and turbulence intensity at the streamwise position x = 3W. The last column of this table is the ratio between the local v

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Application and Summary

This experiment demonstrated the application of hot-wire anemometry for characterizing turbulent flows. Given that turbulence exhibits high frequency velocity fluctuations, hot-wire anemometers are suitable instruments for its characterization due to their high time-resolution. With this in mind, we used a calibrated hot-wire anemometer to characterize the average local velocity and turbulence intensity at different positions within a planar jet. These quantities were determined using statistical descriptors for turbulen

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References
  1. Chapra, S.C. and R.P. Canale. Numerical methods for engineers. Vol. 2. New York: McGraw-Hill, 1998.
  2. King, L.V. On the convection of heat from small cylinders in a stream of fluid: determination of the convection constants of small platinum wires with applications to hot-wire anemometry. Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character 214 (1914): 373-432.
  3. White, F. M. Fluid Mechanics, 7th ed., McGraw-Hill, 2009.
  4. Munson, B.R., D.F. Young, T.H. Okiishi. Fundamentals of Fluid Mechanics. 5th ed., Wiley, 2006.
  5. Buckingham, E. Note on contraction coefficients of jets of gas. Journal of Research,6:765-775, 1931.
Tags
Turbulent FlowsMeasurementsCharacterizeFlowHigh Frequency FluctuationsInstrumentHot Wire AnemometerVelocityTurbulence MeasurementsStatistical AnalysisFree JetRandom FluctuationsFlow VariablesCoherent MotionsFlow FieldHigh Frequency OscillationsAverage ValueAverage Velocity

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0:07

Overview

1:05

Principles of Measuring Turbulent Flows

4:03

Protocol

6:42

Analysis and Results

8:13

Applications

9:46

Summary

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