Development of a new quantitative kinetic model for the analysis of heating and evaporation processes in complex hydrocarbon fuel droplets

Lead Research Organisation: University of Brighton
Department Name: Sch of Computing, Engineering & Maths

Abstract

This proposal is concerned with the development of a new quantitative kinetic model for the analysis of hydrocarbon fuel droplet heating and evaporation, suitable for practical engineering applications. The work on the project will be mainly focused on the following two areas. Firstly, a new molecular dynamics algorithm for the simulation of complex hydrocarbon molecules, with particular focus on the evaporation process of liquid n-dodecane (C_12H_26), which is used as an approximation for Diesel fuel, will be developed. The complexity of the n-dodecane molecules will be reduced based on the consideration of a number of psuedoatoms, each representing the methyl (CH_3) or methylene (CH_2) groups. This research will allow us to understand the underlying physics of the evaporation process of these molecules and to estimate the values of the evaporation/ condensation coefficient of n-dodecane in a wide range of temperatures relevant to Diesel engines. Secondly, a new numerical algorithm for the solution of the Boltzmann equation, taking into account inelastic collisions between complex molecules, will be developed. In this algorithm, additional dimensions referring to inelastic collisions will be taken into account alongside three other dimensions describing the translational motion of molecules as a whole. The conservation of the total energy before and after collisions will be taken into account. A discrete number of combinations of the values of energy corresponding to the components of translational motions and internal motions of molecules after collisions will be allowed and the probabilities of the realisation of these combinations will be equal. The results will be applied to the kinetic modelling of the evaporation process of n-dodecane droplets in Diesel engine-like conditions. This will be a collaborative project between Dr Bing-Yang Cao (Tsinghua University, Beijing, P.R. China), whose expertise includes the development of numerical algorithms for molecular dynamics simulation, Dr Irina Shishkova (Moscow Power Engineering Institute, Russia), whose expertise is focused on the development of numerical codes for the solution of the Boltzmann equation, the PI, Professor Sergei Sazhin, whose expertise includes the development of new physical models of fuel droplet heating and evaporation with a view of applications to modelling the processes in internal combustion engines, Professor Morgan Heikal, the co-investigator of the project, who will advise the project members on the relevance of the models to automotive applications, and a research student, who will be trained in new research methods, not widely known and/or used in the UK. This project will build upon previously funded EPSRC projects EP/C527089/1 and EP/E02243X/1, and the Royal Society Joint project with Russia, supporting the collaboration between the PI and Dr I. Shishkova.

Publications

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Description The effect of inelastic collisions between two molecules on the solution of the Boltzmann equation is taken into account by presenting the change of state of molecules after collisions as a random (with uniform probability distribution) movement along a surface of an N-dimensional sphere, the squared radius of which is equal to the total energy of the molecules before and after the collision in the reference system of the centre of mass. The projection of a point on the surface of this sphere in each of N directions gives the root square of the kinetic energy in one of three directions in the physical space, or the internal energy of one of degrees of freedom, of one of two molecules. The kinetic energies of two molecules are described by the first six dimensions of the system, and the remaining N-6 dimensions describe the internal energies. This approach is applied to one-dimensional evaporation of n-dodecane into nitrogen. These results open the way for considering systems with arbitrarily large numbers of internal degrees of freedom by reducing the analysis of these systems to the analysis of systems with relatively small numbers of internal degrees of freedom. Molecular dynamics (MD) simulation is used to study the evaporation and condensation of n-dodecane (C12H26), the closest approximation to Diesel fuel. The interactions in chain-like molecular structures are modelled using an optimised potential for liquid simulation (OPLS). The thickness of the transition layer between the liquid and vapour phases at equilibrium is estimated. It is shown that molecules at the liquid surface need to obtain relatively large translational energy to evaporate. The vapour molecules with large translational energy can easily penetrate deeply into the transition layer and condense in the liquid phase. The velocity distribution function in the vapour phase is shown to be close to bi-Maxwellian with the temperature for the distribution normal to the interface being larger than the one for the distribution parallel to the interface.
Exploitation Route The newly developed kinetic and MD models can be applied to a wide range of problems beyond automotive engineering for which they were developed at the first place.
Sectors Chemicals,Education,Energy,Transport

 
Description Ricardo UK Ltd 
Organisation Ricardo UK Ltd
Country United Kingdom 
Sector Private 
PI Contribution We developed a model which can be potentially used in automotive applications
Collaborator Contribution Ricardo consulted us regarding the relevance of the models to automotive applications
Impact See our publications
Start Year 2013