Abstract
This study presents the methodological aspects of combustion instability modeling and pro-vides the numerical results of the model (sub-scale) combustion chamber, regarding geometrical dimensions and operating conditions, which are for determining the combustion stability boundaries using the model chamber. An approach to determine the stability limits and acoustic characteristics of injectors is described intensively. Procedures for extrapolation of the model operating parameters to the actual conditions are presented, which allow the hot-fire test data to be presented by parameters of the combustion chamber pressure and mixture (oxidizer/fuel) ratio, which are customary for designers. Tests with the model chamber, based on the suggested scaling method, are far more cost-effective than with the actual (full-scale) chamber and useful for injector screening at the initial stage of the combustor development in a viewpoint of combustion instabilities.
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Abbreviations
- Ath :
-
Nozzle throat area of rocket engine
- C:
-
Sound velocity
- C* :
-
Characteristic velocity
- f:
-
Frequency
- idem:
-
The same as the actual condition
- Km :
-
O/F mixture ratio\(( = \dot m_o /\dot m_f )\)
- L:
-
Length
- M:
-
Mach number
- \(\dot m\) :
-
Mass flow rate
- n i :
-
Total number of main injectors
- p:
-
Pressure
- Q:
-
Volumetric flow rate
- q:
-
Dynamic head ( = ρU2)
- R:
-
Stability margin
- U:
-
Injection velocity
- W:
-
Molecular weight
- α:
-
Excess-oxidizer coefficient
- αmn :
-
Eigenvalue variable
- П1 : Dependent stability parameter:
-
П2 : Governing (or independent) stability parameter
- ρ : Density:
-
τ : Characteristic time
- A:
-
Nominal or design operation regime of actual combustion chamber
- a:
-
Actial (full-scale) chamber or condition
- ch:
-
Combustion chamber
- chem:
-
Chemical reaction
- cyl:
-
Cylindrical part of combustion chamber
- (c):
-
With a closed end
- f:
-
Fuel
- fm :
-
Auxiliary injectors for film cooling
- i:
-
Per injector orifice
- ig:
-
Auxiliary injectors for ignition
- L:
-
Longitudinal mode
- liq:
-
Liquid
- m:
-
Model chamber or condition
- mix:
-
Mixing
- mL:
-
Them-th longitudinal mode
- noz:
-
Nozzle part of combustion chamber
- O2 :
-
Oxygen
- o:
-
Oxidizer
- (o):
-
With an open end
- tot:
-
Total
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Sohn, C.H., Seol, WS., Shibanov, A.A. et al. On the method for hot-fire modeling of high-frequency combustion instability in liquid rocket engines. KSME International Journal 18, 1010–1018 (2004). https://doi.org/10.1007/BF02990873
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DOI: https://doi.org/10.1007/BF02990873