The dynamic theory for the inelastically colliding particles

Sizhuk, Andrii; Yezhov, S.

doi:10.1016/j.molliq.2006.03.021

Cited by 7 publications

(2 citation statements)

References 2 publications

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“…Since the publication of this pioneering paper, a substantial number of papers have been published, in which various models of inelastic collision have been considered. Without making any attempt to present an extensive list of these papers we mention [33,14,9,4,5,3,8,10,21,30,17,15,11]. This list does not include papers where the models for collisions of specific atoms and molecules have been considered, such as H 2 -H 2 collisions [35], N-N 2 collisions [12] and H-N 2 collisions [31].…”

Section: Introductionmentioning

confidence: 99%

A solution of the Boltzmann equation in the presence of inelastic collisions

Shishkova

Sazhin

Xie

2013

Journal of Computational Physics

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Section: Introductionmentioning

confidence: 99%

A solution of the Boltzmann equation in the presence of inelastic collisions

Shishkova

Sazhin

Xie

2013

Journal of Computational Physics

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“…[10,11,51,52], the 535 molecules were approximated as hard spheres. In contrast to this approximation, we 536 adopt a well-known inelastic hard spheres (IHS) model to take into account the inelastic 537 effects during the collisions of these spheres [98].…”

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confidence: 99%

Multi-Scale Modelling of Fuel Droplet Heating and Evaporation in Combustion Engines

Xie¹

2022

Preprint

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This review summarises the main numerical models of fuel droplet heating and evaporation (DHE) in combustion engines across the different scales by accessing the nano/micro, meso and macroscopic fluid elements. The phenomena of multi-physics, multi-scale and multi-phase fluid flow and heat transfer are fully investigated when the fuel droplet (dodecane) is heating and evaporated into a background gas (nitrogen) crossing the liquid-vapour (LV) interface, kinetic region (i.e., Knudsen layer) and the bulk regions of liquid and gas in terms of molecular dynamics (MD) simulations, kinetic theory modelling (i.e., direct numerical solutions of Boltzmann equations) and convectional fluid dynamics approach, respectively. The evaporation coefficient of fuel evaporating molecules and their velocity distributions at the LV interface derived from MD simulations formulate a new kinetic boundary condition (KBC). Moreover, a novel kinetic model considering the inelastic collision between fuel molecules alongside the new KBC enables us to describe the non-equilibrium gas dynamics of fuel vapour and gas mixture in Knudsen layer (KL). Heat and mass flux analysis of the fuel droplet under combustion engine conditions can be accurately assessed by implementing the inelastic collision between fuel molecules in KL and a temperature-dependent evaporation coefficient at the LV interface into DHE. The surface temperature of fuel droplet and its evaporation time, which play a significant role in resolving the ignition delay and hence the combustion phasing in engines, can also be well estimated. The multi-scale modelling of fuel DHE will make significantly potential input into the cleaner engine targeting the low-carbon emissions and enhance the capability of the existing computational fluid dynamics (CFD) solvers.

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Kinetic Modelling of Droplet Heating and Evaporation

Sazhin

2014

Droplets and Sprays

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The dynamic theory for the inelastically colliding particles

Cited by 7 publications

References 2 publications

A solution of the Boltzmann equation in the presence of inelastic collisions

A solution of the Boltzmann equation in the presence of inelastic collisions

Multi-Scale Modelling of Fuel Droplet Heating and Evaporation in Combustion Engines

Kinetic Modelling of Droplet Heating and Evaporation

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