Combustion and Flame 209 (2019) 353–356
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Combustion and Flame
journal homepage: www.elsevier.com/locate/combustfame
Brief Communications
A spark ignition scenario in a temporally evolving mixing layer
Agnieszka Wawrzak, Artur Tyliszczak
∗
Institute of Thermal Machinery Czestochowa University of Technology, Al. Armii Krajowej 21, Czestochowa 42–201, Poland
a r t i c l e i n f o
Article history:
Received 13 February 2019
Revised 30 July 2019
Accepted 31 July 2019
a b s t r a c t
The paper presents the numerical studies on spark ignition in a turbulent mixing layer formed between
a fuel stream (H
2
/N
2
) and air flowing in the opposite directions. Compared to an ignition mechanism
observed in stationary mixing layers or in premixed homogeneous mixtures studied previously by many
authors, the present results show a significantly different flame formation process. At an early stage of
the ignition process, the flame kernel, which is initially spherical, is strongly torn by shear stresses and
vortical structures formed in a region of the mixing layer. Depending on the spark location with respect
to a vortical structure three different ignition scenarios were identified: (i) the flame kernel is formed, but
at the successive time instants, it is destroyed by vortices and eventually vanishes; (ii) the flame develops
around the initial spark position; (iii) the flame develops being simultaneously transported along the
mixing layer. In the former case the flame grows significantly faster and its volume is found to be even
two times larger.
© 2019 The Combustion Institute. Published by Elsevier Inc. All rights reserved.
1. Introduction
Compared to the knowledge on auto-ignition phenomena our
understanding of spark ignition mechanisms is much less ad-
vanced. Beside many years of study recent investigations on spark
ignition still focus on its fundamental aspects and are mostly per-
formed in simple flow configurations including jets [1–4], counter-
flows [5] and mixing layers [6,7]. The main findings concerning
the ignition phenomenon, discussion of its probabilistic nature and
modelling aspects were presented in review papers by Mastorakos
[8,9].
In general, it is known that the probability of finding flammable
mixture (P
f
) and the probability of successful flame kernel gener-
ation (P
ker
) are different and most often P
ker
< P
f
. Moreover, con-
sidering the successful ignition as a four-step process: energy de-
position → flame kernel formation → propagation → stabilization, it
is known that its probability (P
ign
) is lower than P
f
[8]. A study of
P
f
, P
ker
and P
ign
, reported by Ahmed and Mastorakos [1] for a jet
flow and Ahmed et al. [5] for a counter-flow configuration, clearly
showed that even if the spark was initiated at favourable mix-
ture conditions the flame could be quenched confirming the rule
that P
ign
< P
ker
< P
f
. On the other hand, Ahmed et al. [5] observed
that the successful ignitions can happen in theoretically impossible
locations (P
f
= 0) thanks to a fast movement of hot products of
the spark to the region with P
f
> 0. These findings show that the
∗
Corresponding author.
E-mail addresses: atyl@imc.pcz.pl, arturtyliszczak@gmail.com (A. Tyliszczak).
ignition process has definitely stochastic nature which is largely
unpredictable and conditioned by flow regimes. On the one hand,
placing the spark in the region where P
f
= 0 does not preclude
generation of the flame development. On the other hand, the loca-
tion of the spark at the point with P
f
> 0, where P
ker
> 0, does not
guarantee the ignition. In a turbulent flow the flame kernel may
be too weak to propagate against the vortices or may grow and
propagate with the speed conditioned by a spark location. In this
short paper we identify three significantly different ignition scenar-
ios that can happen in turbulent flows and show their impact on
the flame development. We consider a temporally evolving mixing
layer dominated by shear stresses and strong vortical structures,
which are typical phenomena in jet type fuel injectors and bluff
body configurations.
2. Computational configuration
The computational geometry is shown in Fig. 1. It is a rectangu-
lar box which is periodic in the x and z-directions while its upper
and lower sides at y = ±L
y
/2 are treated as the moving walls. The
fuel (Y
H
2
= 0.1, Y
N
2
= 0.9, ξ
ST
= 0.225) flows in the upper area and
air flows in the lower part. Their temperature is equal to 300 K and
the initial velocity field is defined by a hyperbolic tangent func-
tion as u(y) = U
∞
tanh(2y/δ ) where U
∞
is the free stream velocity
and δ = 2U
∞
/|du/dy|
max
is the initial vorticity thickness assumed
equal to δ = 0.5 mm. The shape factor for the assumed velocity
profile is typical for a boundary layer in transitional regimes and is
equal to H = 2.25. The Reynolds number is Re
δ
= U
∞
δ/ν
air
= 600,
which corresponds to the jet flows at moderate speeds. In the
https://doi.org/10.1016/j.combustflame.2019.07.045
0010-2180/© 2019 The Combustion Institute. Published by Elsevier Inc. All rights reserved.