A Physical Hypothesis for the
Combustion Instability in Cryogenic Liquid Rocket Engines
Acoustic combustion instability has been
one of the most complex phenomena in liquid rocket engines, and
therefore difficult to fully understand, control, and
predict particularly in the design of high-power rockets. The
difficulty arises from the emergence of oscillatory combustion with
rapidly increasing and large pressure amplitudes. This leads to
local burnout of the combustion chamber walls and injector plates
which is caused through extreme heat-transfer rates by
high-frequency pressure and gas velocity fluctuations, see Harrje
and Reardon [1] and Yang and Anderson [2]. It is thought that
resonance acoustic modes of the thrust chamber, amongst them the
transverse modes being the most troublesome, are excited through the
energy provided by the combustion. The amplification process is
thought to include a feedback of information from the acoustic field
to the injector or near-injector phenomena which in turn tends to
reinforce the combustion-to-acoustic-field energy transfer
processes. The energy transfer reasoning alone is the widely cited
general principle by Lord Rayleigh [3]. In essence, he made a
phasing argument and stated that the interaction between the
combustion heat release and the acoustic field is the strongest if
heat is added in a region of space and at the time when the acoustic
amplitude is the highest. Although this view has been useful to
understand a part of the big picture, evidences gathered by past
investigations attributed combustion instability to a complex
interaction of the external acoustic field with the fuel injection
or near-injector processes as a feedback mechanism, thereby leading
to incidences of instability in rocket engines. See, for example,
Heidemann and Groeneweg [4], Anderson et al. [5 ] , and Hulka and
Hutt [6 ]. For this and other reasons, controlled studies have been
conducted probing into the effects of acoustic waves on gaseous and
liquid jets from a variety of injector hole designs. A series of
investigations concentrated on disturbances induced from within the
injection system. They considered the effects of acoustic fields on
many phenomena such as flow structure, vortex pairing, and shear
layer growth rate in the initial region of the jet (for example, see
a short review article by Kiwata, et al. [7]). More relevant
to the work reported here, are a few reports and articles on gaseous
and (in particular) liquid jets under the influence of external
(transverse and longitudinal) acoustic fields. These have been
reviewed in Chehroudi and Talley [8] and Davis and Chehroudi [10].
In this paper, however, the author would
like to propose a physical picture based on experimental results and
intuitive arguments to describe a possible coupling nature/strength
between the chamber acoustics and injectors or near-injector
processes in cryogenic liquid rocket engines.
SUMMARY and CONCLUSION
In summary, an attempt has been made to portray a
fluid dynamical perspective and link a hypothesis proposed here to
observations made in cold flow injector studies, subscale fired
engines, and full-scale production engines with an aim to offer a
sketch of a theory being consistent with most observations
pertaining to combustion instability.
Based on the author’s previous work on
intrinsic sensitivity of the dark-core length in a coaxial-jet-like
injector in cold sub- and supercritical conditions, it is proposed
that a similar phenomenon pertaining to the dark core in
impinging-jet injectors is to be considered, attempting to offer
underlying fluid mechanical reasons for the injector-caused
combustion instabilities in LRE. The basic premise here is that when
an important dynamic feature, such as the dark-core or breakup zone,
of an injector design becomes sufficiently sensitive to thermofluid
parameters of its environment, it is highly likely that this could
strengthen the feedback link thought to be critical in the
amplification process and hence push the system into an unstable
operating state. Evidences cited suggest that the enhanced
sensitivity of impinging-jet injectors to their environment occurs
when the mean dark-core or break up length of one or both jets
forming the impingement reaches a critical value, being of the same
order as the pre-impingement length. Feasibility of such a scenario
is explored by comparing the range of pre-impingement length values
for engines and some recently measured dark-core lengths for
cryogenic jets at density ratios of interest. It is then
hypothesized that the stable-unstable transition boundary in the
Hewitt stability plot is when the core length of one or more of the
jets of the impinging jet injector becomes comparable to the
pre-impingement distance. This proposed hypothesis is able to offer
a consistent explanation of why an engine design based on impinging
jets becomes unstable when Hewitt stability parameter (dn/V) is
decreased. While work is needed to make a transition from a
hypothesis to an established fact, there is sufficient published
information in favor of the hypothesis to make it a strong
possibility amongst others previously proposed. Finally, the readers
are cautioned that as some atomization results from cold studies are
linked to fired sub- and full-scale engines, more targeted
investigations guided by the hypothesis on the dynamic behavior of
the dark-core length and width in cold and fired coaxial and
impinging-jet injectors are justified and highly recommended.
Back to Top of This
Page
NOTE:
Contact Advanced Technology Consultants for consulting needs
and opportunities in this area.
Copyright 2017 -
Advanced Technology Consultants- All Rights
Reserved
|