Abstract
The introduction of nano-sized energetic ingredients first occurred in Russia about 60 years ago and produced great expectations in the rocket propulsion community. While steady combustion regimes of solid rocket propellants loaded with nanometals are discussed in a companion paper, several instances of unsteady combustion regimes are examined in this paper. Ignition, extinction by fast depressurization, self-sustained oscillatory burning, pressure deflagration limit, and other transient burning processes are considered. Both steady and unsteady combustion papers describe the main features in terms of solid propellant performance and intend to emphasize the unique properties or operating conditions made possible by the addition of nano-sized energetic ingredients. Attention is mainly focused on nAl addition to AP/HTPB formulations, the workhorse of solid space launcher motors.
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Abbreviations
- ADN:
-
Ammonium DiNitramide
- AFM:
-
Atomic Force Microscopy
- Alex :
-
ALuminum Electro-eXploded
- ALICE:
-
ALuminum-ICE
- AN:
-
Ammonium Nitrate
- AP:
-
Ammonium Perchlorate
- APT:
-
Advanced Powder Technologies, Tomsk, Russia
- ARM:
-
Arrested Reactive Milling
- ASD-4, -6:
-
Conventional μAl powders (used in Russia)
- BET:
-
Brunauer–Emmett–Teller
- BR or BKL:
-
Butyl rubber (used as inert binder in Russia)
- CCP:
-
Condensed Combustion Products
- C/F:
-
Coarse/Fine
- CL-20:
-
2,4,6,8,10,12-hexanitro-2,4,6,8,10,12-hexaazaisowurtzitane
- CMDB:
-
Composite Modified Double-Base
- DB:
-
Double-Base
- DOA:
-
DiOctyl Adipate (plasticizer)
- DOS:
-
Di(2-ehtylhexyl) Sebacate, also known as Dioctyl Sebacate (plasticizer)
- EB:
-
Energetic Binder
- EDX (EDS):
-
Energy Dispersive X-ray analysis
- EEW:
-
Electrical Explosion of Wires
- EM:
-
Energetic Materials
- EMCDB:
-
Elastomer Modified Cast Double-Base
- EnC:
-
Energetic NanoComposites
- ESD:
-
ElectroStatic Discharge
- FGL:
-
First Gasification Line (ignitability threshold)
- GNG:
-
Ignition boundary determined by Go/No-Go testing (flame retention threshold)
- HEM:
-
High-Energy Material
- HMX:
-
Cyclotetramethylenetetranitramine
- HTPB:
-
Hydroxyl-terminated polybutadiene (plasticized by transformer oil in Russia)
- H-Alex:
-
ALuminum EXploded, coated by HTPB
- ICKC:
-
Institute of Chemical Kinetics and Combustion, Novosibirsk, Russia
- ICP:
-
Institute of Chemical Physics, Moscow, Russia
- IPDI:
-
IsoPhorone DiIsocyanate (curing agent)
- IR:
-
InfraRed
- LEF:
-
Leading Edge Flame
- MIC:
-
Metastable Intermolecular Composites
- MPVT-LD:
-
Tetrazole copolymer plasticized by mixed nitroester (used as EB in Russia)
- nAl:
-
Nano-sized Al particles
- nAl@NA:
-
Nano-sized Al particles coated with nickel acetylacetonate
- nAl@OA:
-
Nano-sized Al particles coated with oleic acid
- nAl@PA:
-
Nano-sized Al particles coated with perfluorotetradecanoic acid
- nAlloy:
-
Alloy of nano-sized particles
- nBiMe:
-
Nano-sized BiMetallic particles
- nEM:
-
Nano-sized Energetic Materials
- nFe2O3:
-
Nano-sized Fe2O3
- nMe:
-
Nano-sized Metal particles
- nonAl:
-
NonAluminized formulations
- NC:
-
NitroCellulose
- NG:
-
NitroGlycerine
- PB:
-
PolyButadiene
- PBAN:
-
PolyButadiene AcryloNitrile
- PCP:
-
PolyCaprolactone triols
- PDL:
-
Pressure Deflagration Limit
- PEI:
-
PolyEthyleneImine
- PS:
-
PolySulfide
- QE:
-
Quinol Ether
- RDX:
-
Cyclotrimethylenetrinitramine
- SKD, SKDM:
-
Butadiene rubber plasticized by transformer oil (used as inert binder in Russia)
- SPLab:
-
Space Propulsion Laboratory, Politecnico di Milano, Milan, Italy
- SRM:
-
Solid Rocket Motor
- TDI:
-
Toluene Di-Isocyanate (curing agent)
- ZN:
-
Zeldovich–Novozhilov
- μAl:
-
Micron-sized Al particles
- μEM:
-
Micron-sized Energetic Materials
- µscale:
-
Micron-sized scale
- 2P:
-
Two-phase flow
- bif :
-
Bifurcation
- c…, c c , c g :
-
Specific heat, in the condensed-phase, in the gas-phase, J/(g K)
- c-phase:
-
Condensed-phase
- d 43 :
-
Mass average diameter, cm
- d AN :
-
Average diameter AN particles
- d AP :
-
Average diameter AP particles
- g-phase:
-
Gas-phase
- k :
-
ZN sensitivity parameter of steady mass burning rate to initial temperature
- k…, k c , k g :
-
Thermal conductivity, in the condensed-phase, in the gas-phase, W/(cm K)
- n :
-
Pressure exponent in the Vieille steady burning rate law
- n q :
-
Slope of the FGL ignition boundary in logarithmic plot
- p, p i , p f :
-
Pressure, initial pressure, final pressure, MPa
- q :
-
Radiant flux intensity, W/cm2
- q c,s :
-
Conductive heat flux to the condensed-phase from burning surface, W/cm2
- q g,s :
-
Conductive heat flux to burning surface from the gas-phase, W/cm2
- r :
-
ZN sensitivity parameter of steady surface temperature to initial temperature
- r b :
-
Steady burning rate, cm/s
- s :
-
Burning surface
- S sp :
-
Specific surface area, m2/g
- u g :
-
Steady average gas-phase velocity in the flame zone, m/s
- t, t ign :
-
Time, ignition delay time, s
- \(t_{th,c}^{*}\), \(t_{th,g}^{*}\):
-
Characteristic time thermal wave in the condensed-phase, in the gas-phase, s
- \(\it t_{{ext}}^{*}\) :
-
Characteristic time external disturbance, s
- T :
-
Temperature, K
- α…, α c , α g :
-
Thermal diffusivity, in the condensed-phase, in the gas-phase, cm2/s
- ρ…, ρ c , ρ g :
-
Density, in the condensed-phase, in the gas-phase, g/cm3
- σ p :
-
Steady burning rate temperature sensitivity, 1/K
- Ω :
-
\(= 2\pi \cdot {\text{frequency}} \cdot \alpha_{c} /\left( {r_{b} } \right)^{2}\), nondimensional circular frequency
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Acknowledgments
Useful and clarifying discussions are gratefully acknowledged with:
• Mr. Giovanni Colombo, Politecnico di Milano, Milan, Italy;
• Prof. Alexander B. Vorozhtsov and Dr. Marat I. Lerner, Tomsk State University, Tomsk, Russia;
• Dr. Alexander A. Gromov and Dr. Alexander G. Korotkikh, Tomsk Polytechnic University, Tomsk, Russia.
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DeLuca, L.T., Pang, W. (2020). Transient Burning of nAl-Loaded Solid Rocket Propellants. In: Pang, W., DeLuca, L., Gromov, A., Cumming, A. (eds) Innovative Energetic Materials: Properties, Combustion Performance and Application. Springer, Singapore. https://doi.org/10.1007/978-981-15-4831-4_5
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