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Exp Fluids (2016) 57:183
DOI 10.1007/s00348-016-2267-9
RESEARCH ARTICLE
A molecular Rayleigh scattering setup to measure density
fluctuations in thermal boundary layers
J. Panda
1
Received: 24 June 2016 / Revised: 13 September 2016 / Accepted: 20 October 2016
© Springer-Verlag Berlin Heidelberg (outside the USA) 2016
fluctuations in scalars such as density and temperature are
as important as that of velocity; however, existing tools,
such as particle image velocimetry, and intrusive probes,
cannot measure density fluctuations. As for the measure-
ment of temperature fluctuations, commercially available
fine thermocouple probes are capable of a frequency range
of a couple of 100 Hz, and a cold-wire constant current
probe extends that to a couple of kHz, albeit for a small
temperature range. The current endeavor is a part of an
effort to develop a particle-free, non-intrusive, molecu-
lar Rayleigh scattering-based technique to simultaneously
measure density, velocity, and temperature fluctuations in
wind tunnel applications. Multiple obstacles exist for suc-
cessful measurement. The present work, using a demon-
stration unit in a low-speed research tunnel, attempts to find
the means to overcome these obstacles and provide a step-
ping stone for larger applications.
The molecular Rayleigh scattering technique provides
a fundamental way of measuring flow properties of gases.
For the present work, the measurement of air density is of
interest. In the author’s experience, in a new setup, once
all steps for density measurement are implemented, opti-
cal spectral analysis to measure velocity and temperature
becomes easier. The intensity of the Rayleigh scattered
light is directly proportional to the molecular number
density, which in turn is related to bulk density. The pro-
portionality constant between the bulk density and the
Rayleigh intensity is obtained via a calibration procedure.
Once the time variation of the scattered light intensity was
measured, a Fourier transform and an application of the
calibration constants provided spectra of air density fluc-
tuations. The technique has been used extensively in high-
speed free jets (Panda and Seasholtz 1999, 2002; Mielke
et al. 2009 among others), and premixed combusting
flows (Pitts and Kashiwagi 1984; Ng et al. 1982; Robben
Abstract A Rayleigh scattering-based density fluctuation
measurement system was set up inside a low-speed wind
tunnel of NASA Ames Research Center. The immediate
goal was to study the thermal boundary layer on a heated
flat plate. A large number of obstacles had to be overcome
to set up the system, such as the removal of dust particles
using air filters, the use of photoelectron counting elec-
tronics to measure low intensity light, an optical layout
to minimize stray light contamination, the reduction in
tunnel vibration, and an expanded calibration process to
relate photoelectron arrival rate to air density close to the
plate surface. To measure spectra of turbulent density fluc-
tuations, a two-PMT cross-correlation system was used
to minimize the shot noise floor. To validate the Rayleigh
measurements, temperature fluctuations spectra were cal-
culated from density spectra and then compared with tem-
perature spectra measured with a cold-wire probe operated
in constant current mode. The spectra from the downstream
half of the plate were found to be in good agreement with
cold-wire probe, whereas spectra from the leading edge dif-
fered. Various lessons learnt are discussed. It is believed
that the present effort is the first measurement of density
fluctuations spectra in a boundary layer flow.
1 Introduction
Measurement of various turbulence statistics in high-speed,
compressible flows and heated flows is extremely diffi-
cult using current experimental techniques. In such flows
* J. Panda
Jayanta.Panda-1@nasa.gov
1
NASA Ames Research Center, Moffett Field, CA, USA