Particulate Damping of Oscillatory Combustion

Horton, M. D.; Gie, M. R. Mc

doi:10.2514/3.1787

Cited by 34 publications

(7 citation statements)

References 2 publications

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“…Because the density of an aluminum particle is constant, the relative density can only be reduced by increasing the density of the gaseous phase, which in turn leads to a higher relative Reynolds number according to Eq. (13). In both instances, there is little variation in the relative Reynolds number throughout the chamber.…”

Section: Resultsmentioning

confidence: 94%

Characterization of Particle Trajectories in Solid Rocket Motors

Maicke

Katta

Majdalani

2013

49th AIAA/ASME/SAE/ASEE Joint Propulsion Conference

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The focus of this paper is the theoretical prediction of trajectories of solid particles leaving the surface of a propellant grain in a cylindrically-shaped solid rocket motor (SRM). The Lagrangian particle trajectory is modeled while taking into account contributions due to drag, virtual mass, Saffman lift, gravity, and buoyancy forces in a Stokes flow regime. For the conditions associated with a simulated SRM, it is determined that the two dominant forces affecting particle trajectory are the drag and gravitational forces. Thus using a oneway coupling paradigm, the effects of particle size, sidewall injection velocity and location, and particle-to-gas density ratio are examined in the context of an idealized motor. The particle size and sidewall injection velocity are found to have a greater impact on particle trajectory than the density ratio. It is hoped that these findings will be used to assist investigations into particle-mean flow interactions aimed at reducing slag retention and nozzle erosion due to particle impingement. NomenclatureGreek δ = density ratio, p f /   µ = dynamic viscosity coefficient ρ = density σ = normal stress τ = shear stress Φ = potential function Ψ = stream function Ω d = particle rotation Ω r = particle rotation relative to fluidor outlet property L = lift p = particle property rr, rθ = normal and shear components S = Saffman a = chamber radius A = area C m = added mass coefficient D = particle diameter e = unit normal vectors, e r , e θ , e z f = drag factor F = force g = gravitational acceleration KE = kinetic energy l = chamber aspect ratio, L/a L = chamber length m = mass P = pressure r = position vector, r, θ, z r Re = relative Reynolds number shear Re = shear Reynolds number t = time T = stress tensor u, v = velocity vectors, e.g. u r , u θ , u z U = relative velocity U w = sidewall injection velocity V = volume Downloaded by ROKETSAN MISSLES INC. on February 5, 2015 | http://arc.aiaa.org |

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Section: Resultsmentioning

confidence: 94%

Characterization of Particle Trajectories in Solid Rocket Motors

Maicke

Katta

Majdalani

2013

49th AIAA/ASME/SAE/ASEE Joint Propulsion Conference

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show abstract

“…Finally, it was found that results from scaling were somewhat irregular, so that small motors went unstable for different operating conditions than large motors. In comparing his Wutk wich Horten 1 c vork with linear, pressurecoupled response functions (115), (116), Brownlee found that his results with lithium fluoride, copper chromite, and aluminum and their stability effects agreed with Horton. However, the effects of aluminum particle fize (115) and pressure (117) were different.…”

Section: The Coupling Of Velocity With a Surface Flamementioning

confidence: 84%

“…In comparing his Wutk wich Horten 1 c vork with linear, pressurecoupled response functions (115), (116), Brownlee found that his results with lithium fluoride, copper chromite, and aluminum and their stability effects agreed with Horton. However, the effects of aluminum particle fize (115) and pressure (117) were different. Brownlee conducted a concurrent program on erosive burning (118) and the results of chat program, plus the experience of others, led him to hypothesize that the stability of a propellant to non-linear initiation was inversely proportional to its tendency toward erosive burning, showing the potential importance of velocity coupling.…”

Section: The Coupling Of Velocity With a Surface Flamementioning

confidence: 84%