47th AIAA Aerospace Sciences Meeting Including The New Horizons Forum and Aerospace Exposition 5 - 8 January 2009, Orlando, Florida AIAA 2009-452 Numerical Bipropellant Thruster Simulation with Hydrazine and NTO Reduced Kinetic Reaction Model Kaori Ohminami1 Intelligent Modeling Laboratory, the University of Tokyo, Tokyo, 113-8656, Japan Hiroyuki Ogawa2 Institute of Space and Astronautical Science / Japan Aerospace Exploration Agency (ISAS/JAXA), Sagamihara, 2298510, Kanagawa, Japan and Kuninori T. Uesugi3 Japan Aerospace Exploration Agency (JAXA), Sagamihara, 229-8510, Kanagawa, Japan A combustion flow inside a film-cooled bipropellant thruster was simulated numerically. The film-cooled bipropellant thruster model included a reduced detail kinetic reaction model of hydrazine fuel and di-nitrogen tetroxide (NTO) oxidizer composed of 61 elementary reactions. This kinetic reaction model had been originally composed of 245 elementary reactions and was developed to be available for CFD simulations. Also bipropellant thruster model included droplet motion and evaporation mechanism so that it could simulate the gas generation with turbulent flow field. The flow simulation results showed the flame structure and film-cooled mechanism in detail and could explain the film-cooling dry out mechanism in accordance with experimental results. I. Introduction M ANY kinds of bipropellant thrusters have been used in space-craft systems for orbital and attitude control. The bipropellant thrusters have been adopted hypergolic fuels. MMH (monomethyl hydrazine, CH3NHNH2) is a popular fuel and many bipropellant thrusters have adopted the mixture of MMH, and NTO (di-nitrogen tetroxide, N2O4) or NTO derivatives as fuel and oxidizer respectively, because its mixture has high ignition performance and stable combustion. However a kind of scientific mission, e.g. sampling from the targets requires a no-carbon fuel and oxidizer mixture: the exhausted chemical products shall not pollute the mission’s targets. Thus hydrazine (N2H4) and NTO mixture has been required. Hydrazine fuel is more difficult to operate than MMH because the hydrazine generates higher energy so that the combustion gas temperature is higher than that of MMH. Hence, missions using hydrazine and NTO mixture have been not many. ISAS/JAXA has developed a 20N bipropellant thruster (ISAS-20N bipropellant thruster) for attitude and orbital controls of HAYABUSA (launched in 2003) using hydrazine fuel and NTO oxidizer. The ISAS-20N bipropellant thruster thermal design is more difficult than that of the MMH/NTO thruster, because higher energy is released. To avoid overheating of the chamber wall by combustion gases, the ISAS-20N bipropellant thruster has a film-cooling device. Reducing heat flux to the chamber wall is necessary from the thermal point of view, while efficient combustion with higher temperature improves the thruster’s performance. And the combustion flow structure in a thruster is complex and very sensitive to thermal design. However the development of the thruster has been based on a ‘make and test’ experimental iterative approach up till now and not constructed an analytical model. An effective approach using CFD (Computation Fluid Dynamics) that is capable of providing more complex knowledge of 1 PhD, Intelligent Modeling Laboratory, the University of Tokyo, Tokyo, 113-8656, Japan, AIAA Member . Associate Professor, Institute of Space and Astronautical Science (ISAS), AIAA Member. 3 Professor, Japan Aerospace Exploration Agency (JAXA), AIAA Member. 1 American Institute of Aeronautics and Astronautics 2 092407 Copyright © 2009 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. combustion characteristics is required for next development of a 500N bipropellant ceramic thruster (ISAS-500N ceramic thruster) in Planet-C mission. The objective of the present study is to develop an analytical thruster model and to explain the film-cooling effect and flame structure for the ISAS-500N ceramic thruster. The thruster model is based on the knowledge of fluid dynamics with chemical kinetics, and is simulated numerically using CFD. In the film-cooled bipropellant thruster combustion chamber, oxidizer rich areas, fuel rich areas or well mixed areas are unevenly distributed so that the combustion mechanism should be different locally. Hence the flow analysis should simulate combustion with ignition delay, gas temperature or gas composition depending on the local condition of chemical gas compositions. And to cover the variety of chemical composition combustion phenomenon, a detail kinetic reaction mechanism is required. In the present paper, to deal with those phenomena in the thruster simulation, we have incorporated the reduced detail kinetic reaction model into the ISAS-500N ceramic thruster model. The reduced detail kinetic reaction model had been developed for CFD simulations in previous our work [1]. Also fuel and oxidizer droplets motions and evaporations are considered so as to take into account the fuel and oxidizer gas generation. The wall temperature is obtained by the numerical thruster model simulation, which can be compared with the chamber wall temperature of the development tests. The developed film-cooled bipropellant thruster model is used to investigate the effects of flow parameters; e.g. mass flow rate, mixture ratio O/F (Oxidizer/Fuel mass flow ratio), flow injection method, on physical processes such as combustion. Knowledge of these effects can be used to optimize design parameters and improve the performance of the thruster. II. General Description The ISAS-500N ceramic thruster under development is shown in Fig.1. The thruster utilizes liquid hydrazine (N2H4) as the fuel and liquid NTO as the oxidizer. The thruster injector has three kinds of inlets. The oxidizer inlets are arranged close to the center of axis and the fuel inlets surround the oxidizer inlets. The liquid fuel and oxidizer come from these inlets are impacted with each other and contributes to direct firing of the reactant. Another kind of inlets for film-cooling are arranged outside of those two. A key feature of the film-cooling is injecting cool fuel towards the chamber wall to protect it from the hot combustion gas, as shown in Fig.2. Figure 1. ISAS-500N film-cooled bipropellant ceramic thruster 2 American Institute of Aeronautics and Astronautics 092407 Film-cooling fuel inlet Film-cooling Chamber wall Chamber wall Injector Injector Combustion Gas Mixing oxidizer inlet Mixing fuel inlet Figure 2. Schematic of film-cooling bipropellant thruster injectors. III. Modeling and Simulation The combustion flow structure in the film-cooled bipropellant thruster is fairly complex, so that we model it as follows: 1) Liquid jets come from each inlets Fuel and oxidizer injection impinges with each other or on the N2H4 liquid jet combustion chamber wall, 2) The impinged jets form liquid film around N2O4 liquid jet the impinging point, 3) The each kinds of fuel and oxidizer Liquid film formation droplets are generated from the liquid films, N2H4 / N2O4 4) The droplets move interacting with the liquid film turbulent gas flow, collapsing, and Secondary break up evaporating in the hot gas, 5) The hydrazine and NTO gases generated by each droplets start combusting, Doplets generation 6) The combusted flow goes downstream with N2H4 doroplet turbulence while developing the gas phase Droplet evaporation reaction. N2H4 droplet N2H4 gas This model schematic is shown in Fig. 3. To N2O4 droplet describe those phenomena, we take into account the N2O4droplet physics of: N2O4 gas I) Liquid film and, fuel and oxidizer droplet Gas phase reaction formation, II) Droplet interaction with turbulent gas flow, Combustion gas N2H4 gas III) Droplet evaporation, N2 H2O OH N2O4 gas IV) Film-cooling droplet interaction with NO NH3 combustion chamber wall, V) Gas phase reaction of hydrazine and NTO, VI) Turbulent flow model. Figure 3. Modeling schematic of phenomena inside filmThe droplet formation mechanism, the first one, was cooling bipropellant thruster injectors. originally proposed by Inamura et al. [2], and was improved by Yamanishi and Amemiya [3] to adjust to the ISAS-500N ceramic thruster model. We take it into the ISAS-500N ceramic thruster model to set the initial condition of the CFD simulations. The items of II to VI are solved in CFD simulation together. A gas phase kinetic reaction mechanism, the fifth one, was constructed by another scheme in our previous work [1], and is incorporated into this simulation model. The gas flow (the continuous phase) and the droplets (the discrete phase) motion are coupled in CFD simulation. To simulate multiphase, the Euler-Lagrange approach is adopted. The coupled simulation of the continuous phase calculation with the kinetic reaction mechanism and the discrete phase calculation is concurrently performed by commercial CFD code, Fluent 6.3 [4]. 3 American Institute of Aeronautics and Astronautics 092407 A. Governing Equations for the Continuous Gas Phase For three-dimensional flow calculation, the continuous gas phase is governed by Navier-Stokes equation. The governing equation is analyzed numerically using a commercial CFD code, Fluent 6.3 [4].In the Fluent Solver, the pressure-based coupled solver was adopted and realizable k- turbulent mode is used. The simulation was performed by third-order MUSCL (Monotone Upstream-centered Schemes for Conservation Laws) convection scheme. The governing equations for the flow can be expressed as Mass Conservation: t + ( xi ui ) = S m , (1) Momentum Conservation: ( ui u j ) ( ui ) + = t xj p xi ij xj + S M .i , (2) Energy Conservation: ( ui h j ) ( h) = + t xi eff xi T + xi J ki hk + u j ij + Sh , (3) k Species Transport Equation for kth species: t where ij ( Yk ) + ( u i Yk ) = xi xi J ki + S Yk , k =1, 2, , K, (4) is the viscous stress tensor. The transport equations for all species are solved at each finite volume with each time step, and Yk is the mass fraction of kth species. The transport properties; the viscosity µ , the effective thermal conductivity eff and the diffusion flux of kth species J k , are defined by kinetic theory. The gases are assumed ideal gas. The density is obtained from = pM , RT (5) where M is the mixture molecular weight defined by local gas compositions. Source terms in Eq. 2 to 4 come from the combustion or discrete phase calculation. The mass source term Sm is generated by droplets evaporation. The momentum source SM,i is equal to the total droplets momentum loss in a cell. Sh includes energy generation by combustion and exchange with the droplets evaporating calculation. SYk comes from chemical species generation or consumption by the combusting calculation, and gas generation of hydrazine and NTO by the droplets evaporating calculation. B. Discrete Phase Model For multiphase treatment of liquid propellant and gaseous combusting flow, we adopt the Euler-Lagrange approach. The gas phase is treated as a continuum fluid by solving Navier-Stokes equations shown in the previous section, while the liquid phase is composed of a discrete number of droplets that are traced individually in the continuous gaseous flow. The discrete phase is solved by tracking a large number of droplets in a Lagragian frame of reference through the calculated continuous flow field with exchanging momentum, mass and energy. 4 American Institute of Aeronautics and Astronautics 092407 Only two kinds of droplets, hydrazine and NTO are considered. The evaporation of these droplets generates each gas. We include the hydrazine and NTO liquid as the discrete phases to simulate the gas flame construction source and the wall cooling effect. The hydrazine and NTO boiling point is under 500K while the flame temperature is over 3000K. The droplets may evaporate quickly, then the gas phase mostly occupies in the combustion chamber. Hence we assume that the droplets-droplets interactions and the effects of the droplets volume fraction are negligible. Also collision of the droplets is not considered. Droplets are initially generated around the film disks that are modeled by Inamura’s scheme [2]. We set the droplets’ diameter, position, velocity and temperature as initial conditions. Then the droplets move in continuous fluid phase. The droplets trajectories are solved three-dimensionally by the force balance on the droplet using the continuous phase cell condition. In this simulation, the force effect on the droplets is the drag force, and drag coefficient includes dynamic drag model considering the droplets distortion. We also take into account the droplets secondary breakup effect by TAB (the Taylor analogy breakup) model. And the dispersion of droplets due to turbulence in the fluid are predicted using the stochastic tracking model (random walk model). While the droplets lose the momentum by drag force effect, the momentum exchange appears as a momentum sink in the continuous phase momentum balance in Eq.2 as SM. The droplets’ heating, evaporation and boiling effect are considered in this simulation. The generated mass, heat and chemical species of hydrazine (N2H4) and NTO (N2O4) by droplets are appear in the continuous phase source terms as in Eq.1, 3 and 4. The discrete phase calculations are performed individually at specified intervals during the fluid phase calculation. We adjust the discrete phase calculation intervals in the continuous phase iterations. C. Computational Geometry and Boundary Conditions The computational model geometry is shown = +18° in Fig. 4. The model is three dimensional and has = -18° cut nozzle in accordance with the experimental 36° test model. The model computational domain is 1/10 of full size with angles of -18° to +18°, includes 550000 cells, and is composed of solid domains of a injector and a ceramics chamber wall, and fluid domains shown in Fig.5. Thermal conductance of the solid domains is z=0.077[m]; Th r oa t posit ion considered. The external combustion chamber x wall boundary set as the radiative wall: radiative z=0[m ]; In ter n a l wa ll bou n da r y of in jector heat transfers to/from the external environment z (environmental temperature is 293.15 K) with an y emissivity of 0.88 are considered. The internal Figure 4. Computational model geometry. combustion chamber wall boundary set as the Non-Slip wall for fluid, and the tangential coefficient of restitution is only considered (the normal composition is zero) for droplets. The internal injector wall boundary set as the Non-Slip, and the elastic collision wall for the droplets. The external injector wall boundary that is contact area with the test facilities has constant temperature with 298.15 K in accordance with the experimental data. Droplet sources are arranged around the liquid film and calculated using Inamura model [2] with adjustment of hydrazine and NTO unlike impinging or hydrazine impinging to wall phenomenon by Yamanishi and Amemiya[3]. Total oxidizer and fuel ratio O/F is 0.77 and filmFigure 5. Computational domains and droplet sources cooling fuel ratio is 30%. 5 American Institute of Aeronautics and Astronautics 092407 D. Hydrazine and NTO Kinetic Reaction Model A gas-phase finite-rate chemical reaction model is considered in the flow model. In present study, we adopt the eddy-dissipation-concept (EDC) model to include the detailed chemical mechanism in the turbulent flow. It assumes that reaction occurs in small turbulent structures, called the fine scale with fine time scale *. A system of a chemical reaction is expressed as: K k =1 K ' kr X k k =1 "kr X k r =1, 2, , R, (6) where 'kr and ' 'kr are forward and reverse stoichiometric coefficients for the kth species in the rth reaction, and Xk is the molecular concentration of the kth species. The molar production/consumption rate of kth species, k , is expressed as: K &k = R r =1 ( kr kr )k Fr K [Xk ] ' kr k =1 1 Patm K p , r RT ( kr kr ) k =1 K [Xk ] " kr , (7) k =1 where Kp,r is the equilibrium constant for the rth reaction, Patm denotes atmospheric pressure, and kFr is forward rate constant for the rth reaction using Arrhenius expression: k Fr = ArT r exp[ Ea , r / RT ] . (8) In the calculation, combustion at the fine scale is assumed to occur as a constant pressure reactor, with initial condition taken as the current species and temperature in the cell. Reactions proceed over the fine time scale *, governed by Eq. 7, and are integrated numerically. Then the kth species total amount of mass fraction change & k M k , Mk is the kth species molecular weight, appears in the combustion source term in Eq. 4, and enthalpy change & k M k hk appears in the combustion source term in Eq. 5. A kinetic gas phase reaction mechanism as the hydrazine and NTO combustion model is considered. The model was suggested by Ohminami et al. [1] which includes 61 elementary reactions in N/H/O system. A bipropellant thruster model using CFD has capability to simulate the complicated flow inside the thruster combustion chamber; the flow analysis should simulate combustion depending on local O/F with ignition delay, gas temperature or chemical species compositions. There have been some bipropellant thruster simulations before, but those numerical models have included only global chemical reaction models or the eddy-dissipation model, because of no detail hydrazine and NTO combustion model. We had tried to incorporated 2-steps global reaction model by Sawyer and Glassman [5] into CFD thruster simulations before, but the combustion gas temperature had become higher than the adiabatic flame temperature: The global reaction model has been found to be not enough. To construct a reasonable combustion model and to simulate the combustion flame mechanism including filmcooling effects, a detail kinetic model of the fuel/oxidizer combustion is required. Hence we had constructed a hydrazine and NTO combustion model that includes detail a kinetic mechanism and is useful for bipropellant thruster simulation. In previous our work, first we formulated a kinetic reaction model from the available literature. The experimental results and studies of hydrazine and NTO reactions have not been much reported. No reasonable combustion model of hydrazine and NTO has been developed, although an N/H/O kinetic reaction model has been investigated. Thus we constructed the hydrazine and NTO reaction model from the elementary reactions in the N/H/O system. A total elementary reaction was 245 for 31 chemical species [6]. 6 American Institute of Aeronautics and Astronautics 092407 Temperature, K Second, to incorporate reaction 3500 model in the thruster CFD model, we extracted the efficient elementary 3000 reactions by sensitivity analysis by SENKIN included in CHEMKIN-II 2500 package. Then we could construct a Pc=0.581Mpa, O/F=1.84 hydrazine and NTO kinetic reaction 2000 Pc=0.654Mpa, O/F=1.57 model including 61 elementary reactions Pc=0.715Mpa, O/F=1.36 for 28 chemical species [1]. This is the 1500 hydrazine and NTO reduced detail Pc=0.764Mpa, O/F=1.21 kinetic reaction model. In order to Pc=0.72Mpa, O/F=1.09 validate the model, zero-dimensional 1000 Pc=0.671Mpa, O/F=0.96 combustion simulations performed. In Pc=0.643Mpa, O/F=0.82 this model, the chemical species 500 0 0.002 0.004 0.006 0.008 0.01 0.012 composition changes in time towards the Time, sec equilibrium sate: i.e. the gas temperature Figure 6. Temperature profiles of zero-dimensional simulation and the chemical composition after by the reduced detail kinetic reaction mechanism. enough long time agree with those in equilibrium state. The equilibrium gas temperature (adiabatic flame temperature) is obtained theoretically by the method based on equilibrium constants. Therefore we compared the gas temperature composition obtained by the equilibrium calculation with those after enough long time calculated by the combustion model with the finite rate constants. Also we calculated ignition delay by the zero-dimensional simulation using the reduced model. It was coincident with that by original 245 reaction model and experimental value. The temperature profiles for O/F equals to 0.82 to 1.84 are shown in Fig.6, and the mole fraction profiles are shown in Fig.7. In the thruster simulation, oxidizer and fuel ratio O/F is 0.77 totally and 1.09 except film-cooling fuel in accordance with the core flame structure ratio. 0.8 mole fraction 0.7 N2H4 0.6 0.5 0.4 N2 NO2 H2O 0.3 H2 0.2 0.1 0 0.E+00 N2O H NO NH3 1.E-04 2.E-04 3.E-04 4.E-04 OH 5.E-04 time, sec 6.E-04 7.E-04 8.E-04 9.E-04 1.E-03 N2 NO NO2 NO3 N2O N2O4 NH NH2 NH3 NNH N2H2 N2H3 N2H4 HNO HONO HNO3 H H2 O2 OH HO2 H2O H2O2 Figure 7a. Mole fraction profiles of zerodimensional simulation by the reduced detail kinetic reaction mechanism (Pc=0.72MPa, O/F=0.77). 1 0.9 0.8 0.7 mole faraction 1 0.9 0.6 N2H4 0.5 NO2 N2 0.4 H2O 0.3 0.2 H2 N2O 0.1 0 0.E+00 H NH3 1.E-04 2.E-04 3.E-04 4.E-04 5.E-04 time, sec 6.E-04 7.E-04 NO 8.E-04 OH 9.E-04 1.E-03 N2 NO NO2 NO3 N2O N2O4 NH NH2 NH3 NNH N2H2 N2H3 N2H4 HNO HONO HNO3 H H2 O2 OH HO2 H2O H2O2 Figure 7b. Mole fraction profiles of zerodimensional simulation by the reduced detail kinetic reaction mechanism (Pc=0.72MPa, O/F=1.09). IV. Results and Discussions The gas temperature and chemical species mass fraction distribution are shown in each Fig. 8, and the gas temperature contours in the x-y cross section (normal direction to the z-axis) are shown in Fig. 9. In Fig. 9, the combustion gas temperature becomes homogeneous and expanded through the nozzle smoothly. The homogeneous flame structure about temperature can be explained by the combustion process. In fig. 8, intermediate chemical species are distributed over the chamber. It is thought if the hydrazine and NTO droplets generate a little of the hydrazine and NTO gas, the hydrazine and NTO gas decomposes into the intermediate species and they are distributed over the combustion chamber before ignition. Then the combustion starts with its distributed and mixed 7 American Institute of Aeronautics and Astronautics 092407 intermediate species. It can be said that the intermediate species work as the cause of ignition. Since these ignition sources, the intermediate species, are mixed well and distributed before the ignition, the homogeneous temperature flame is formed. In the adopted reduced detail kinetic reaction mechanism, the reaction paths from the reactant hydrazine and NTO to the intermediate chemical species are constructed before ignition. Then the reaction network is activated at the ignition delay time and expands by constructing variety of reaction paths within 10 microseconds. During that ignition, the system gas temperature goes up to over 3000K immediately as shown in Fig.6. N N22OO44 dr oplet s Z, m 0.005 N 2O 4 0.0 0.0 0.2 0.0 0.1 0.2 0.4 2.0 N 2H 4 0.1 NH3 N 2 H 4Ndr2 Hoplet s 4 0.03 N O2 N 2O 0.06 0.0 0.35 NO 0.0 0.2 0.1 0.7 NH 2 0.0 0.2 NH 0.1 0.0 0.002 0.004 0.07 0.08 0.0 300 0.105 1600 Temper a t u r e [K [K]] 2900 1e-5 2e-5 Ign itin g Figure 8. Simulation results of chemical species mass fraction and temperature distribution. Figure 9. Temperature contour of x-y cross-section. Temperature, K The prediction and observation results of the external chamber wall temperature along the center of thruster axis Z are shown in Fig. 10. In the observation temperature curves, the point where the temperature immediately goes up exists before the nozzle throat convergence. 2000 This point is called a film-cooling dry-out point. Chamber wall geometry profile 1800 In the prediction curve, the film-cooling dry-out 1600 point appears clearly, too. The film-cooling 1400 Expermental data dry-out appearance agrees with the 1200 Model prediction experimental result well, however, there are the 1000 differences of the dry-out position and the 800 maximum temperature between the prediction 600 and observation. 400 200 Figure 11 shows the heat flux from the 0 gaseous flow and the droplets to the chamber 0 0.02 0.04 0.08 0.1 wall. Before throat area, the droplet phase Z, m 0.06 absorbs heat from the heated chamber wall, Figure 10. Chamber wall temperature profiles along zwhile the gas phase reduces heat flux from the 8 American Institute of Aeronautics and Astronautics 092407 7.E+06 heat flux; gas 3.E+06 Mass fraction Wall Wall heat heat flux, flux, W/m2 W/m2 5.E+06 heat flux; droplet 1.E+06 -1.E+06 -3.E+06 -5.E+06 0 0.02 0.04 0.06 0.08 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 N2H4; hydrazine NH3; ammonia 0 0.1 0.02 0.04 0.06 0.08 0.1 Z, m Z, m Figure 12. Mass fraction profiles of hydrazine and ammonia along z-axis. Figure 11. Wall heat flux profiles of gas and droplets phase along z-axis. hot combustion gas to the wall. From point of view this, it can be said that the film-cooling is composed of the gas and droplets phase. To see the detail of the film-cooling gas layer, hydrazine and ammonia mass fractions are shown in Fig. 12. Hydrazine and ammonia has large mass fractions in the film-cooling gas layer. Around the film-cooling dry-out point: z=0.07, the hydrazine decomposes to ammonia and is disappeared immediately, and wall temperature increases coincidentally. And the heat flux of the droplets shown in Fig. 11 turns to zero around z=0.07. Accordingly, it is thought that the film-cooling is composed of both the hydrazine droplets and the hydrazine gas layer. Disappearing both droplets and gas layer causes film-cooling dry-out suddenly. It is successfully showed that the reduced detailed hydrazine and NTO combustion model is useful for the filmcooled bipropellant thruster CFD simulation to investigate the film-cooling effect and the combustion mechanism. In future works, we will try to improve the combustion mechanism or film-cooling model to agree with experimental data about the film-cooling dry-out point and the maximum wall temperature. References 1 Ohminami, K., Ogawa, H., A. Hayashi, K. “Construction of Hydrazine and NTO Kinetic Reaction Model for Bipropellant Thruster Simulation” in Japanese, The Japan Society for Aeronautical Space Science, Vol. 7, 2008, pp. 1-10. 2 Inamura, T., Oguro, S., Kumakawa, A. and Tamura, H., Institute for Liquid Atomization and Spray Systems, Vol. 15, 2006, pp. 147-152. 3 Yamanishi, N. and Amemiya, T., private contact. 4 Fluent, Software Package, Ver. 6.3, “User’s manual”. 5 Sawyer, R. F., I. Glassmann, “Gas-Phase Reaction of Hydrazine with Nitrogen Dioxide, Nitric Oxide and Oxygen”, 11th Symp. Comb., 1967, pp. 861-869. 6 Ohminami, K. and Ogawa, H., “Survey of Reaction Rate Constants in the Reaction System of Hydrazine and NTO” in Japanese, The Japan Society for Aeronautical Space Science, Vol. 6, 2007, pp. 55-60. 9 American Institute of Aeronautics and Astronautics 092407
© Copyright 2024 Paperzz