Temperature Measurements in Steady Two-Dimensional
Partially Premixed Flames Using Laser Interferometric
Holography
XUDONG XIAO, CHUN W. CHOI, AND ISHWAR K. PURI*
Department of Mechanical Engineering (M/C251), University of Illinois at Chicago, 842 W. Taylor St.,
Chicago, IL 60607-7022,
The local flow temperature is a key consequence of combustion and must, therefore, be accurately measured.
Holographic interferometry can be employed to accurately determine the refractive index in flames and,
thereafter, to infer the temperature distribution. This investigation focuses on the utility of laser interferometric
holography as a tool to measure the temperature of two-dimensional partially premixed flames (PPFs).
Methane–air PPFs are established on a rectangular Wolfhard-Parker slot burner. These flames contain two
reaction zones, one in an outer nonpremixed region and the other in an inner rich-premixed region. We
examine flame structure effects (that produce a varying composition in the flame) on the local refractive index
and show that a relation that contains relatively minor errors, which depend upon the rich-side equivalence
ratio, can model the refractive index in PPFs. This is the first investigation to discuss the effects of a realistically
varying composition due to combustion on the refractive index distribution in flames. The maximum error in
the temperature is 6 –34% when the rich-side equivalence ratio lies in the range 1.5–, while the corresponding
average error is 2.4 –12.3%. Relatively large discrepancies arise in the case of nonpremixed flames. We discuss
the experimental configurations required to reconstruct clear interferometric fringe patterns. Image plane
holography is employed because it offers two advantages: (1) the holograms can be read with white light, and
(2) the fringe count may be considered to occur in a straight line as though no refraction had occurred. We
confirm the inefficacy of using thermocouples as a measurement tool in two-dimensional PPFs. Questions
related to the beam path length are resolved. The portion of the flame– beam interference length that lies
between the high and low temperatures is accounted for by assuming a uniform composition and by introducing
a density weighting function. Thereafter, we examine the holographic fringe patterns, discuss the discrepancies
that arise in the interpreted temperatures as the PPF equivalence ratio is varied, and present the inferred
temperature distributions. The temperature distribution is found to correlate with the heat release in the inner
rich premixed and outer nonpremixed reaction zones. Large temperature gradients exist in the inner premixed
reaction zone, whereas the outer nonpremixed region contains smaller gradients, since it is transport limited.
The spatial temperature resolution required to resolve the higher gradients is 400 K mm
-1
. © 1999 by The
Combustion Institute
INTRODUCTION
Combustion occurs due to complex interactions
between chemical reactions and heat, mass, and
momentum transfer. The local flow tempera-
ture is a key consequence of these interactions
and must, therefore, be accurately measured.
Nonintrusive temperature measurements offer
important advantages in combusting flows, since
they do not “insert” a disturbance that can alter
the flow characteristics and, consequently,
change the temperature field that is to be
measured. Laser-based techniques have long
been recognized as being advantageous, nonin-
trusive diagnostic tools. These methods have
intrinsically high temporal and spatial resolu-
tions that can provide in situ real-time informa-
tion regarding the combustion process. Estab-
lished approaches, such as Raman and Rayleigh
spectroscopy or coherent anti-Stokes Raman
spectroscopy (CARS), can be applied to flame
thermometry [1]. However, many of these meth-
ods require a large and complex optical system
and provide point, and not field measurements.
Holographic interferometry can be employed
to accurately determine the refractive index in
flames and, thereafter, to infer the temperature
distribution. An early application used a Mach-
Zehnder interferometer to measure the temper-
ature distribution in a nonpremixed methane–
air flame established on a Wolfhard-Parker slot
burner [2]. No compensation was made in that
study for the beam widening that occurs since a
flame behaves as a lens and, consequently, *Corresponding author. E-mail: ikpuri@uic.edu
COMBUSTION AND FLAME 120:318 –332 (2000)
0010-2180/00/$–see front matter © 1999 by The Combustion Institute
PII S0010-2180(99)00100-5 Published by Elsevier Science Inc.