Pressure-Sensitive Paint Application to an Oscillating
Shock Wave in a Transonic Flow
M.-C. Merienne,
*
P. Molton,
†
R. Bur,
‡
and Y. Le Sant
§
ONERA–The French Aerospace Lab, 92190 Meudon, France
DOI: 10.2514/1.J053744
This paper presents an application of the pressure-sensitive paint technique to investigate two-dimensional
unsteady flow in a transonic channel. This work is a contribution to the study of the transonic interaction between an
oscillating shock wave and a separated boundary layer in a channel flow. The shock-wave oscillation is forced by the
periodic variation of the section of a second throat by means of a rotating elliptical shaft located in its section. The
channel’s lower wall is equipped with a contour profile, or bump, allowing for flow separation. To achieve a reduced
response time for surface pressure measurements, we use anodized-aluminum coating as pressure-sensitive paint
instead of usual paint. An aluminum insert including the bump was manufactured and coated with anodized-
aluminum pressure-sensitive paint. Images were acquired by using a high-speed camera, and pressure-sensitive paint
results were compared with pressure tap and Kulite sensor measurements implemented in the insert. Spectral analysis
was carried out to assess the ability of anodized-aluminum pressure-sensitive paint for understanding unsteady
aspects of such a complex channel flow.
Nomenclature
A
i
, B
ij
= temperature-dependent calibration coefficients
I = intensity of light emitted by pressure-sensitive paint at
some pressure
I
Ref
= intensity of light emitted by pressure-sensitive paint at
reference pressure
p = surface pressure, Pa
p
Ref
= reference surface pressure, Pa
p
0
= initial pressure level before a step change, Pa
p
1
= final pressure level after a step change, Pa
S
T
= temperature sensitivity of the pressure-sensitive paint,
%∕K
S
p
= pressure sensitivity of the pressure-sensitive paint,
%∕kPa
S
pT
= pressure sensitivity due to temperature, Pa∕K
T = temperature, K
t
99
= pressure settle time, ms
τ = response time, ms
I. Introduction
P
RESSURE-SENSITIVE paint (PSP) is widely used in aerody-
namic testing, as this technique introduces an innovative concept
of instrumentation allowing pressure measurements at any point on a
model surface provided that this point is viewed by optical instru-
mentation. PSP is now a well-established surface pressure measure-
ment method for a large domain of velocities ranging from low-speed
to supersonic steady-state flows [1,2]. Application to unsteady
pressure measurements is a difficult challenge for the PSP technique,
as it requires a fast-responding coating. For the unsteady PSP, highly
gas diffusive materials are needed as a binder, since the PSP response
time depends on the gas diffusivity through the paint thickness.
Unsteady applications concern different types of research in fluid
mechanics. Rotating machinery generates very short periodical phe-
nomena, whereas turbulent flows induce random phenomena. Un-
steady flows are present in a large domain of applications like
reduction of noise engines, control of airfoil buffeting or vortex
breakdown, and reduction of automobile drag and noise. Usually,
unsteady pressure measurements are obtained with discrete sensors,
which complicates the model design and increases the manufacturing
time. In addition, fast pressure sensors are very expensive, so their
number is usually limited. Thus, the development of an optical
method able to measure the unsteady pressure on the whole model
surface would be of great interest.
Most PSPs have a response time of 1 s, which is incompatible with
unsteady measurements. The composition of a PSP consists of a
porous binder mixed with luminescent molecules. The pressure
sensitivity being the result of the oxygen-quenching process of the
luminescence, the paint binder must be porous in order to allow
energy transfer with oxygen molecules. The paint porosity deter-
mines the PSP response time. For unsteady measurements, it can be
necessary to reduce the response time below 1 ms, which represents
several orders of magnitude below the actual response time. Thus, the
PSP coating has to be designed in such a way that the luminescent
sensor is directly in contact with oxygen.
Different materials have been tested in order to increase the paint
porosity: for example, by using a high-porosity binder [3,4]. Other
solutions consist of increasing the porosity of the binder by adding hard
ceramic particles in the polymer [5,6]. Another solution is to remove
the binder and to fix the luminophore directly on the model surface.
Gregory [7] and Asai et al. [8] developed a fast-responding PSP based
on porous anodized aluminum with the dye adsorbed on the surface.
This type of coating leads to a response time on the order of a few tens
of microseconds. An extensive overview of the state of the art on
unsteady PSP development was summarized by Gregory et al. [9].
A previous investigation using anodized-aluminum PSP (AA-
PSP) was performed at ONERA–The French Aerospace Lab in 2007
to study the flowfield inside a nozzle during the starting process and
to define the pressure gradient in the outlet region during the steady-
state phase. The inner surface of the nozzle was prepared with AA-
PSP coating, and images were acquired up to 5000 Hz [10]. During
this test campaign, it was demonstrated that the use of a 12 bit depth
complementarity metal-oxide-semiconductor (CMOS) high-speed
camera is suitable for PSP investigation.
In the present work, PSP is used to investigate a quasi two-
dimensional unsteady transonic flow in a channel with a strong
Presented as Paper 2010-4921 at the 27th AIAA Aerodynamic
Measurement Technology and Ground Testing Conference, Chicago, IL,
28 June–1 July 2010; received 7 July 2014; revision received 18 May 2015;
accepted for publication 11 June 2015; published online 7 September 2015.
Copyright © 2015 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 1533-385X/15 and $10.00 in correspondence with
the CCC.
*Research Scientist, Fundamental and Experimental Aerodynamics
Department, 8 rue des Vertugadins; marie-claire.merienne@onera.fr.
†
Research Scientist, Fundamental and Experimental Aerodynamics
Department, 8 rue des Vertugadins; pascal.molton@onera.fr.
‡
Research Scientist, Fundamental and Experimental Aerodynamics
Department, 8 rue des Vertugadins; reynald.bur@onera.fr.
§
Research Scientist, Fundamental and Experimental Aerodynamics
Department, 8 rue des Vertugadins; yves.le_sant@onera.fr.
3208
AIAA JOURNAL
Vol. 53, No. 11, November 2015
Downloaded by UNIVERSITA DEGLI STUDI DI MILANO on January 6, 2016 | http://arc.aiaa.org | DOI: 10.2514/1.J053744