Appl Phys B (2010) 101: 689–700
DOI 10.1007/s00340-010-4145-0
NO excitation and thermal non-equilibrium within a flat plate
boundary layer in an air plasma
D. Studer · P. Boubert · P. Vervisch
Received: 2 April 2010 / Revised version: 18 June 2010 / Published online: 20 July 2010
© Springer-Verlag 2010
Abstract Optical emission spectroscopy experiments are
carried out by recording the radiation from the γ transitions
of nitrogen monoxide in an air inductively coupled plasma
in interaction with a water-cooled metallic flat plate at mod-
erate pressure. The calibrated results allow to derive the vi-
brational and rotational temperatures of the NO(A
2
Σ
+
) ex-
cited state as well as its densities in the free jet and within
the boundary layer by comparison with calculated spectra.
Those results are compared with previous ones concerning
temperatures and densities of the ground states of the ma-
jority species (N
2
,O
2
and NO) that were obtained by laser
techniques. As for the NO(X
2
Π ) ground state, vibration
and rotation of the excited state are found out of equilib-
rium. The NO(A
2
Σ
+
) excited state is found to be populated
by an energy transfer from the metastable N
2
(A
3
Σ
+
u
). The
steady state of the plasma allows using this property to de-
rive N
2
(A
3
Σ
+
u
) densities and N
2
electronic excitation tem-
peratures. Close to the wall, a production of excited NO by a
catalytic process is also considered involving N
2
(A
3
Σ
+
u
) as
source of adsorbed atoms. The present results confirm that
the kinetic temperature cannot be compared to the rotational
temperature derived from optical emission spectroscopy in
such plasma conditions.
1 Introduction
The re-entry of a space vehicle in the atmosphere of Earth
benefits from a 50-year experience, from the first manned
D. Studer · P. Boubert ( ) · P. Vervisch
CORIA—UMR 6614 CNRS, Université et INSA de Rouen,
76801 Saint-Etienne du Rouvray Cedex, France
e-mail: boubert@coria.fr
orbital missions to the space shuttle flights, and in particu-
lar from the Apollo missions coming back from the Moon.
Reusable materials were developed that ensure a safe re-
entry for velocity smaller than 8 km/s. For larger velocities,
ablative materials as those used for the solar system explo-
ration missions are preferred. The projected sample return
missions and eventually manned missions to Mars will re-
quire large entry velocities (up to 15 km/s) in the Martian
atmosphere as well as in the Earth atmosphere in order to
limit the journey duration. Such high velocities challenge
the actual knowledge in non-equilibrium plasma physico-
chemistry especially concerning non-equilibrium radiative
fluxes, radiative ablation products and catalycity of materi-
als.
The existing physical and chemical models met some
success in predicting ground state densities including in
non-equilibrium conditions, but failed to deal with excited
species [1, 2]. Vibrational specific [3, 4] or electronic spe-
cific [5] collisional-radiative models that are in develop-
ment are expected to bring the needed answers. Neverthe-
less, some test cases are necessary to validate such mod-
els, and the purpose is to fully characterize some plasmas
in interaction with thermal protection system (TPS) mate-
rials [6]. This means measuring ground state densities as
well as excited states’ densities and determining the en-
ergy distribution in internal modes or temperatures when
they are suitable. Temperatures are indeed one of the easi-
est data to obtain especially through optical diagnostic tech-
niques. Optical emission spectroscopy (OES) is a powerful
tool to get those temperatures when equilibrium is ensured
between ground state energy modes and excited state en-
ergy modes [7–9]. However, some assumptions about equi-
librium between energy storage modes should be made very
carefully in some non-equilibrium plasmas. Nevertheless,
OES is often used as a temperature diagnostic method in in-