Abstract
We present a noninvasive technique to measure instantaneously two-dimensional temperature distributions in liquid flows by means of two-color planar laser induced fluorescence (PLIF) of rhodamine B. This technique allows absolute temperature measurements by determining the relative intensities on two adequate spectral bands of the same dye and a reference measurement at a known temperature. Demonstration measurements on a heated turbulent jet injected into a coflow at ambient temperature are presented. The mean temperature field is investigated, as well as the temperature fluctuations. The results are compared to those obtained by means of a usual single-color PLIF technique.
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Abbreviations
- A, B:
-
Parameters characterizing the sensitivity to temperature
- Aeff, Beff:
-
Parameters characterizing the effective sensitivity to temperature in the case of reabsorption
- Au, Bu:
-
A and B calculated with maximal uncertainties
- c :
-
Concentration of the dye tracer
- cy :
-
Optical path
- d :
-
Diameter of the nozzle of the jet
- I l :
-
Intensity of the laser beam
- K opt :
-
Optical constant
- K spec :
-
Spectral constant
- r f :
-
Fluctuating part of Rf caused by fluctuations of the temperature only
- R f :
-
Ratio of the fluorescence intensity
- R u :
-
Uncertainty of Rf
- t :
-
Time
- T :
-
Absolute temperature
- T 0 :
-
Reference temperature
- T cal :
-
Calibration temperature
- T co :
-
Temperature in the coflow
- T inj :
-
Temperature of the heated jet at the injection
- T m :
-
Heated jet centerline temperature
- V :
-
Measurement volume
- x, y:
-
Spatial coordinates
- z :
-
Spatial coordinate along the axis of the jet
- β :
-
Sensitivity to temperature
- η T :
-
Heated jet temperature expansion coefficient
- λ :
-
Wavelength
- ϑ :
-
Fluctuations of the temperature T
- ϑ * :
-
Normalized temperature fluctuations
- θ * :
-
Normalized temperature
- \(\bar X\) :
-
Time average of X
- \(\tilde X\) :
-
Fluctuating part of X
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Bruchhausen, M., Guillard, F. & Lemoine, F. Instantaneous measurement of two-dimensional temperature distributions by means of two-color planar laser induced fluorescence (PLIF). Exp Fluids 38, 123–131 (2005). https://doi.org/10.1007/s00348-004-0911-2
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DOI: https://doi.org/10.1007/s00348-004-0911-2