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Implicit large eddy simulation of vitiation effects in supersonic air/H
2
combustion
Mehmet Karaca
a,∗,1
, Song Zhao
a,2
, Ivan Fedioun
a
, Nicolas Lardjane
b
a
ICARE-CNRS, 1c avenue de la Recherche Scientifique, F-45071 Orléans cedex 2, France
b
CEA, DAM, DIF, F-91297 Arpajon, France
a r t i c l e i n f o a b s t r a c t
Article history:
Received 12 July 2018
Received in revised form 27 March 2019
Accepted 28 March 2019
Available online xxxx
Keywords:
Vitiation
Implicit LES
Turbulent combustion
Non-premixed flames
This paper presents and discusses Implicit Large Eddy Simulation (ILES) results of vitiation effects in
ground tests of supersonic air/H
2
combustion. This work is useful for realistic extrapolation of ground test
data to flight conditions. The high-enthalpy flow configuration retained, typical of scramjet engines, is the
Mach 2 LAERTE combustion chamber of the French aerospace lab ONERA. The supersonic air co-flow is
preheated by burning a small amount of hydrogen in oxygen-enriched air. Stable numerical simulations
of such high-speed turbulent shocked flows require dissipative numerics that interact with molecular
diffusion. The premature ignition in the case of vitiation by oxygen atom can be observed using reduced
finite rate chemistry in the quasi-laminar approximation, i.e. without any subgrid combustion model,
because the Damköhler number (ratio of turbulent to chemical time scale) is less than unity. Turbulent
time scales are only moderately affected by vitiation, but chemical time scales are significantly reduced.
© 2019 Published by Elsevier Masson SAS.
1. Introduction
1.1. Context and motivations of the study
The last two decades have shown a renewed interest in hy-
personic airbreathing flight. Examples are the American NASP
and Hyper-X programs [1], and the French PREPHA (1992-1998),
JAPHAR (1997-2002) and LEA (2003-2015) programs [2,3]. Ground-
tests of the scramjet engine, representative of flight conditions,
require the development of test rigs able to supply sustained high-
speed and high-enthalpy air flow (typically M = 2, P
tot
= 1 MPa,
T
tot
= 2000 K) for supersonic air/H
2
(or air/H
2
/CH
4
) combustion.
One of these such facilities is the supersonic test line of the
LAERTE laboratory at ONERA Palaiseau, France [4,5] (Fig. 1).
In most high-enthalpy blow-down wind-tunnels, like in the ex-
periments of Tomioka et al. [6] or Kang et al. [7], pre-heated air
flow representative of flight conditions is obtained from a combus-
tion heater that burns hydrogen in oxygen-enriched air, resulting
in the vitiation of the air stream by radicals like H, O, or OH, and
products like H
2
O or NOx. It is therefore necessary to analyze the
effects of vitiation on experiments in order to extrapolate ground-
*
Corresponding author.
E-mail address: mkaraca@metu.edu.tr (M. Karaca).
1
Current address: Middle East Technical University, Ankara, Turkey.
2
Current address: Institut Pprime UPR 3346 CNRS, ISAE - ENSMA and University
of Poitiers, France.
Fig. 1. The LAERTE M = 2 combustion chamber at ONERA Palaiseau (figure from
Falempin and Serre [2]).
tests results to flight (clean) conditions. This can be achieved by
using electrical heaters, e.g. Tatman et al. [8], at a higher energy
expense or by numerical simulation. Electrical and storage heated
facilities introduce thermodynamic non-equilibrium due to expan-
sion. Clean conditions can be achieved adding water vapor (%2
molar) which is a fraction of amount in combustion heating to at-
tain thermal equilibrium [9].
https://doi.org/10.1016/j.ast.2019.03.050
1270-9638/© 2019 Published by Elsevier Masson SAS.