Development and Application of a Comprehensive Analysis of Liquid-Rocket Combustion

Hines, W. S.; Combs, L.P.

doi:10.2514/3.50080

Cited by 9 publications

(3 citation statements)

References 5 publications

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“…No coagulation/break-up or source terms were considered, and in addition, it is difficult to prescribe accurate boundary conditions for the velocity pdf. Similar works on the numerical treatment of the Williams equation were presented by Gany et al [76] and Sutton et al [236].…”

Section: Sprays and Bubblesmentioning

confidence: 56%

“…Numerical solution of the equation in the general case was impossible at that time, however, and it took some time to follow the work of Williams. Direct numerical solutions to Williams' equation were sought by Westbrook [256], Gany et al [76] and Sutton et al [236]. These methods involve a discretisation of the domain of the pdf in all independent variables, i.e.…”

Section: Population Dynamics Of Inertial Particlesmentioning

confidence: 99%

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Population balance modelling of polydispersed particles in reactive flows

Rigopoulos

2010

Progress in Energy and Combustion Science

135

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Polydispersed particles in reactive flows is a wide subject area encompassing a range of dispersed flows with particles, droplets or bubbles that are created, transported and possibly interact within a reactive flow environment -typical examples include soot formation, aerosols, precipitation and spray combustion. One way to treat such problems is to employ as a starting point the Newtonian equations of motion written in a Lagrangian framework for each individual particle and either solve them directly or derive probabilistic equations for the particle positions (in the case of turbulent flow). Another way is inherently statistical and begins by postulating a distribution of particles over the distributed properties, as well as space and time, the transport equation for this distribution being the core of this approach. This transport equation, usually referred to as population balance equation (PBE) or general dynamic equation (GDE), was initially developed and investigated mainly in the context of spatially homogeneous systems. In the recent years, a growth of research activity has seen this approach being applied to a variety of flow problems such as sooting flames and turbulent precipitation, but significant issues regarding its appropriate coupling with CFD pertain, especially in the case of turbulent flow. The objective of this review is to examine this body of research from a unified perspective, the potential and limits of the PBE approach to flow problems, its links with Lagrangian and multifluid approaches and the numerical methods employed for its solution. Particular emphasis is given to turbulent flows, where the extension of the PBE approach is met with challenging issues. Finally, applications including reactive precipitation, soot formation, nanoparticle synthesis, sprays, bubbles and coal burning are being reviewed from the PBE perspective. It is shown that popualtion balance methods have been applied to these fields in varying degrees of detail, and future prospects are discussed.

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Section: Sprays and Bubblesmentioning

confidence: 56%

Section: Population Dynamics Of Inertial Particlesmentioning

confidence: 99%

Population balance modelling of polydispersed particles in reactive flows

Rigopoulos

2010

Progress in Energy and Combustion Science

135

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“…One of the earliest of such accounts was that of Probert in 1946, whose research was performed in support of the British jet engine development program. More-realistic variants of this analysis were subsequently developed/published by Spalding, Priem and Heidmann, Williams, Nuruzzaman et al, and Sutton et al], all of whom mainly incorporated the momentum-, mass-, and heat-transfer coupling between the two co-flowing phases. Common to these analyses were the principal underlying assumptions:…”

Section: Idealized Mathematical Models Of Spray Combustorsmentioning

confidence: 99%

Spray Combustor Design/Performance: Chemical Engineering Contributions and the Emergence of an “Interacting Population-Balance” Perspective

Rosner

2009

Ind. Eng. Chem. Res.

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Spray combustors are now widely used in many technologies, spanning commodity chemical synthesis (combustion of molten sulfur en route to sulfuric acid (H 2 SO 4 ) and phosphorus en route to phosphoric acid (H 3 PO 4 ), ...), and nanoparticle synthesis (eg., via "spray pyrolysis"), to energy conversion (oil-fired furnaces or boilers) and chemical propulsion (aircraft gas turbines and liquid-propellant rocket motors). While important space, weight, and pollutant constraints inevitably differ from application to application, spray-"fuel"-fed combustors share certain common performance characteristics, and there is a considerable economic incentive to develop rational yet tractable design methods for them. While this intrinsically interdisciplinary subject continues to evolve, here, we briefly review some of the principal contributions to these challenging goals published by chemical engineers since the inception of Industrial and Engineering Chemistry (I&EC). Not surprisingly, the earliest contributions focused on some of the important "unit processes" (e.g., isolated droplet evaporation rates, vapor micromixing rates in spatially homogeneous turbulent flows, and steady vaporphase laminar diffusion flames). Chemical engineers introduced "continuous mixture theory" to economically address not only phase/chemical equilibria in multicomponent mixtures, but also spatially nonuniform (nonequilibrium) flows. More-recent studies have introduced diffusion "flamelet" concepts for vapor-phase nonpremixed combustion and statistical population-balance concepts to address evolving turbulence characteristics and/or droplet size distributions. Because of the wide range of operative (length and time) scales in the full problem, in the foreseeable future, clever asymptotic methods will continue to be required to capture the essential physicochemical phenomena but still make the associated numerical simulations manageable. In this regard, a fruitful unified perspective is now emergingsone quite natural to chemical engineers. This can perhaps be best described as an interacting "multi-phase, multi-environment" approachsor simply an "interacting multivariable population balance" approach. While much remains to be done, it is hoped that this 2008/2009 perspective, and highly selective "review" of but one class of multiphase chemical reactors, will stimulate further activity along this promising path.

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An experimental and theoretical investigation of the transition phenomenon in fuel spray deflagration

Chan¹,

Wu²

1989

Fuel

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Development and Application of a Comprehensive Analysis of Liquid-Rocket Combustion

Cited by 9 publications

References 5 publications

Population balance modelling of polydispersed particles in reactive flows

Population balance modelling of polydispersed particles in reactive flows

Spray Combustor Design/Performance: Chemical Engineering Contributions and the Emergence of an “Interacting Population-Balance” Perspective

An experimental and theoretical investigation of the transition phenomenon in fuel spray deflagration

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