Modeling the Combustion of a Solid Fuel Containing a Liquid Oxidizer Droplet

Pelosi, Avishag D.; Gany, Alon

doi:10.2514/1.60565

Cited by 3 publications

(12 citation statements)

References 27 publications

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“…The results indicate that for small droplets the oxidizer will heat up to boiling temperature even before it is revealed on the burning surface, due to heat conduction through the surrounding binder. Stage II is the main stage of the combustion process, as described in other models as well [1][2][3][4][5][6][7][8].U nderstanding the equations that dictate the initiation (stage I) and termination (stage III) processes comes from understanding the second stage.…”

Section: T He Modelmentioning

confidence: 99%

“…The flame height is not uniform due to the diffusion process. Therefore correction factor f c = 0.3 is adopted based on the works of Beckstead [5][6][7],P elosi and Gany [1][2][3][4]:…”

Section: Flame Shapementioning

confidence: 99%

“…(iv) Physical and chemical properties of the gas phase and the solid binder (specific heat, diffusion coefficient, decomposition of the solid binder,e tc.) are taken as in the work of Pelosi and Gany [1][2][3][4],a nd in the BDP model [5][6][7].…”

Section: Parameter Valuesmentioning

confidence: 99%

“…Several years ago Pelosi and Gany [1][2][3][4] published their work on solid propellants augmented by liquid encapsulated oxidizer,s howing significantly higher energetic potential than the conventional solid propellants (up to 20 %i n theory). As part of their work [1] Pelosi and Gany investigated the new concept from different aspects, including encapsulating material, strand burning tests, and combustion modeling.…”

Section: Introductionmentioning

confidence: 99%

“…The combustion of as mall size liquid oxidizer droplet within as olid fuel matrix is similar to the combustion of classic solid composite propellant. The well-known BDP model [5][6][7] is a2 Dm odel combining the physical aspects of the process, based on the GDF model [8],a nd the chemical kinetics aspects.This research objective is the development of at ime dependent 2D model, in contrast to the 1D time averaged model that was introduced by Pelosi and Gany several years ago [1][2][3][4].T he current model deals with ap ropellant consisting of ac ontinuous solid matrix containing liquid droplets/capsules of oxidizer,w hich are modeled as cylinders with height equal to diameter,i no rder to simplify the calculations. The current model deals with the sub-critical pressure range, where the oxidizer undergoes three stages in the combustion process:Abstract:Acombustion model of as olid propellant containing liquid oxidizer capsules was developed.…”

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confidence: 99%

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Developing a Combustion Model of a Solid Propellant Containing Capsules of Liquid Oxidizer

Livne

Gany

2015

Propellants Explo Pyrotec

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a] 1I ntroductionComparing solid propellant rocket motors and liquid propellant engines, one can clearly see the great advantage in the simplicity of the solid propellant systems. Yeto nt he other hand, one can also notice the inferior energetic performance of solid motors. The relatively poor energetic performance of the solid propellant rockets stems from the poor energetic properties of available solid oxidizers. Over the past few decades efforts have been made in order to find aw ay to improve the energetic performance of the solid propellants, yet with no significant practical result.Several years ago Pelosi and Gany [1-4] published their work on solid propellants augmented by liquid encapsulated oxidizer,s howing significantly higher energetic potential than the conventional solid propellants (up to 20 %i n theory). As part of their work [1] Pelosi and Gany investigated the new concept from different aspects, including encapsulating material, strand burning tests, and combustion modeling. More complicated models were suggested for solid propellants, but not for this novel propellant, which is based on different physical phenomena (liquid oxidizer submerged in as olid matrix).In the current work, the goal is to develop an ew 2D model for the combustion of as olid matrix containing liquid oxidizer capsules within it. The current model also takes into consideration the changes over time of the nature of the combustion process. 2T he ModelLittle research has been done so far in the subject of combustion of liquid oxidizer droplets contained in asolid polymeric matrix. The combustion of as mall size liquid oxidizer droplet within as olid fuel matrix is similar to the combustion of classic solid composite propellant. The well-known BDP model [5][6][7] is a2 Dm odel combining the physical aspects of the process, based on the GDF model [8],a nd the chemical kinetics aspects.This research objective is the development of at ime dependent 2D model, in contrast to the 1D time averaged model that was introduced by Pelosi and Gany several years ago [1][2][3][4].T he current model deals with ap ropellant consisting of ac ontinuous solid matrix containing liquid droplets/capsules of oxidizer,w hich are modeled as cylinders with height equal to diameter,i no rder to simplify the calculations. The current model deals with the sub-critical pressure range, where the oxidizer undergoes three stages in the combustion process:Abstract:Acombustion model of as olid propellant containing liquid oxidizer capsules was developed. The model is based on the combustion cycle of au nit cell, an oxidizer droplet surrounded by the adjusting amount of binder. Three combustion stages are considered:( 1) binder decomposition parallel to oxidizer heating up to boiling temperature, (2) simultaneous binder and oxidizer gasification, and (3) gasification of the remaining condensed phase species. Simple global kinetics are assumed for the gas phase reactions and binder decomposition abiding Arrhenius law,a nd boiling process for the oxidizer abiding...

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Section: T He Modelmentioning

confidence: 99%

“…The flame height is not uniform due to the diffusion process. Therefore correction factor f c = 0.3 is adopted based on the works of Beckstead [5][6][7],P elosi and Gany [1][2][3][4]:…”

Section: Flame Shapementioning

confidence: 99%

Section: Parameter Valuesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Developing a Combustion Model of a Solid Propellant Containing Capsules of Liquid Oxidizer

Livne

Gany

2015

Propellants Explo Pyrotec

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Damped interfacial oscillation of a particle-embedded viscous drop

2019

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This article describes how a drop with an embedded particle exhibits interfacial waves with transient decay due to the interplay between capillary and viscous effects. To reveal the damped oscillation of the system properly, the deformation and pressure fields inside the domain are described in terms of complete sets of basis functions. Such representation leads to a matrix formulation which enforces no-slip condition at the solid-liquid interface and ensures correct discontinuity in normal stress due to surface tension at the drop periphery. The resulting characteristic equation involving the natural frequencies and the decay constants is solved numerically to determine these quantities. The matrix expression implies a block-diagonalized structure with two uncoupled blocks corresponding to two distinctly different dynamics. The first of these is related to pure rotational velocities on spherical surfaces which monotonically decay in time without any fluctuation in the absence of any peripheral deformation. By contrast, the second block is associated with the undulation in shape. Due to the restoring features of surface tension, the latter can exhibit underdamped oscillatory modes, if the capillary number Ca is below a critical value. However, even these waves would become overdamped if the critical number is exceeded. These values of Ca for a few most relevant modes are plotted in this paper as functions of particle-to-drop size ratio. Also, the natural frequencies for the underdamped cases as well as the damping constants for all considered modes are presented for different size ratios and capillary numbers. The findings are verified by matching the computed results to a novel boundary layer theory under low capillary number limit. Under the limiting condition, both sets of independent calculations yield the same decay constants and natural frequencies providing mutual validations.

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Interfacial wave dynamics of a drop with an embedded bubble

Bhattacharya

2016

Phys. Rev. E

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This article describes how an embedded bubble changes the surface wave of a suspended liquid drop, and how such modifications, if recorded experimentally, can be used to detect voids in typically opaque interior of the fluid. The analysis uses a matrix formalism to predict the frequencies for natural oscillation and the deformation for acoustically induced forced vibration. The theory shows that the embedded cavity causes major shifts in the frequency and amplitude values as well as twofold increase in number of natural modes, indicating multifacetted utility of the results in process diagnostics, material characterizations, and combustion technology.

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Modeling the Combustion of a Solid Fuel Containing a Liquid Oxidizer Droplet

Cited by 3 publications

References 27 publications

Developing a Combustion Model of a Solid Propellant Containing Capsules of Liquid Oxidizer

Developing a Combustion Model of a Solid Propellant Containing Capsules of Liquid Oxidizer

Damped interfacial oscillation of a particle-embedded viscous drop

Interfacial wave dynamics of a drop with an embedded bubble

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