Molecular Tagging Using Vibrationally Excited Nitric Oxide
in an Underexpanded Jet Flowfield
Andrea G. Hsu,
*
Ravi Srinivasan,
†
Rodney D. W. Bowersox,
‡
and Simon W. North
§
Texas A&M University, College Station, Texas 77843
DOI: 10.2514/1.39998
We report a laser diagnostic technique which relies on planar laser-induced fluorescence of vibrationally excited
nitric oxide (NO
v1
) molecules produced from the 355 nm photodissociation of seeded NO
2
for molecular tagging
velocimetry applications. The technique was applied toward an axisymmetric highly underexpanded jet flowfield to
yield single-component (streamwise) velocity maps. Detection of the photodissociated NO
v1
molecules would be
valuable in flow environments where molecular tagging velocimetry would be highly desirable, but where there are
also significant background concentrations of NO. The technique would also be valuable in high-quenching and/or
low-velocity flow conditions due to the long-lived nature of the photodissociated NO molecules. Single-shot
streamwise velocity uncertainties were about 5% and could be lowered by increasing signal to noise. In addition,
the vibrational relaxation of NO was explored in support of a U.S. Air Force Office of Scientific Research
Multidisciplinary University Research Initiative project and it was found that the vibrational decay of NO was
heavily dependent on collisional vibrational relaxation with oxygen atom formed through NO
2
photodissociation.
Nomenclature
C
12
= experimentally determined calibration constant
D
e
= nozzle diameter
D
m
= Mach disk diameter
k = Boltzmann constant
P
a
= ambient pressure
P
e
= exit pressure
P
o
= stagnation pressure
S
f
= fluorescence signal intensity
T
o
= stagnation temperature
T
vib
= vibrational temperature
w = primary wavelength
X
m
= distance from nozzle to Mach disk
E
21vib
= energy difference between vibrational states
I. Introduction
V
ELOCITY is a very important parameter in the characterization
of aerodynamic flowfields. There are two approaches used to
measure velocity: probe-based (intrusive) and laser-based (non-
intrusive) techniques. Two widely used nonintrusive techniques
relevant to this study are particle image velocimetry (PIV) and
molecular tagging velocimetry (MTV). PIV and MTV are planar
techniques and can therefore provide instantaneous two-component
velocity maps. Both MTV and PIV require a pair of images: an initial
image and a time-delayed image. The velocity is calculated by
dividing the spatial displacement by the known temporal separation
between the two images. PIV diagnostics require the use of seeded
particles, and although these particles are small (<1 m), they often
cannot follow the flow as precisely as molecules, particularly in the
region of strong shocks, as shown in [1]. In addition, the seeding of
particles is undesirable in some facilities, where the particles may
clog the facility, coat optical windows, or cause damage by
impinging on surfaces. MTV relies on the tagging of molecules by a
“write” laser pulse, which are subsequently probed at a known time
delay by a “read” laser pulse. MTV encompasses a wide range of
techniques that can be applied in both gaseous and liquid flowfields
and includes both line and gridded variants. Line MTV provides a
single component of velocity by observing the spatial displacement
of the line, whereas gridded techniques provide two components of
velocity in the laser plane by observing the warping of the grid, that
is, the spatial displacement of the grid intersection points. Several
examples of gaseous MTV techniques are ozone tagging velocimetry
(OTV), hydroxyl tagging velocimetry (HTV), Raman excitation plus
laser-induced electronic fluorescence (RELIEF), nitric oxide (NO)
tagging velocimetry, and NO
2
photodissociation. OTV involves the
photolytic formation of ozone, which is then photodissociated to
form vibrationally hot O
2
and simultaneously probed via Schumann–
Runge fluorescence, as in [2]. HTV involves the photodissociation of
water and followed by detection of OH by laser-induced fluorescence
(LIF) [3–5]. RELIEF involves LIF probing of tagged vibrationally
excited O
2
molecules, as in [6]. NO tagging velocimetry is conducted
using naturally occurring NO, as in [7], by photodissociation of
air [8,9], or by photodissociation of NO
2
[10,11]. In all three
cases, reported studies have been limited to probing of the ground
vibrational state of NO (NO
v0
) at 226 nm.
Studies in [7] have used NO tagging velocimetry where a write
laser beam is used to electronically excite a line of naturally occurring
NO in a hypersonic shock tube flowfield. The tagged NO decays with
its fluorescence lifetime. Shortly after excitation, the tagged NO is
read by imaging its fluorescence onto a short-exposure intensified
charge-coupled device (ICCD) camera. A second image is obtained
at a later time when the flow has experienced some spatial displace-
ment. Based on the spatial displacement of the NO molecules, the
streamwise velocity can be extracted from the data. This single laser
experiment relies on conditions where the flow velocities must be
sufficiently large so that the tagged NO undergoes reasonable spatial
displacement within its fluorescence lifetime. In environments
characterized by either low velocities or high fluorescence quench-
ing, the time delays required for adequate spatial displacement
exceed the fluorescence lifetime, decreasing signal to noise in the
second image obtained and limiting the application of the technique.
An alternative is the use of NO
2
photodissociation [10,11]. Instead of
probing NO, which is dispersed throughout the flow, the photo-
dissociation of NO
2
writes a column of spatially localized NO (and O
atom) where the NO itself serves as the “tagged” molecules. The NO
is then read at two subsequent times by two separate laser pulses via
Presented as Paper 1447 at the 47th AIAA Aerospace Sciences Meeting,
including The New Horizons Forum and Aerospace Exposition, Orlando, FL,
5–8 January 2009; received 23 July 2008; revision received 10 July 2009;
accepted for publication 18 July 2009. Copyright © 2009 by the American
Institute of Aeronautics and Astronautics, Inc. All rights reserved. Copies of
this paper may be made for personal or internal use, on condition that the
copier pay the $10.00 per-copy fee to the Copyright Clearance Center, Inc.,
222 Rosewood Drive, Danvers, MA 01923; include the code 0001-1452/09
and $10.00 in correspondence with the CCC.
*
Chemistry Department. Member AIAA.
†
Aerospace Engineering Department. Member AIAA.
‡
Aerospace Engineering Department. Associate Fellow AIAA.
§
Chemistry Department.
AIAA JOURNAL
Vol. 47, No. 11, November 2009
2597