Study of Random Particle Interactions for Analysis of Diffusion Lengths in Turbulent Combustion Modelling

Turbulent combustion is commonly modelled using probability density function (PDF) methods; to close these methods, micro-mixing models are required: these are most commonly based on stochastic particle interactions. While it is standard practice for the turbulent diffusion coefficient to be...

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Main Authors: M. M., Noor, T. F., Yusaf
Format: Conference or Workshop Item
Language:English
Published: 2011
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/2110/1/ACS2011_Study_Inter_Particle_Muhamad_Paper_ACS_036_Final.pdf
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author M. M., Noor
T. F., Yusaf
author_facet M. M., Noor
T. F., Yusaf
author_sort M. M., Noor
collection UMP
description Turbulent combustion is commonly modelled using probability density function (PDF) methods; to close these methods, micro-mixing models are required: these are most commonly based on stochastic particle interactions. While it is standard practice for the turbulent diffusion coefficient to be used to specify the amount of mixing, few models account for the corresponding diffusion length scale that defines interacting particle separation. This study investigates ensemble averages of the minimum, mean and maximum inter-particle distances for random realisations as a precursor to comparing with the diffusion length in real simulations. It was found that the ensemble of results for each type of inter-particle distance (minimum, mean or maximum) had a normal distribution. For 1 to 1000 dimensions, the minimum inter-particle distances for 100 particles were 0.0051 to 12.3406 and the average distances were 0.3297 to 12.7776.
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spelling UMPir21102015-03-03T07:54:46Z http://umpir.ump.edu.my/id/eprint/2110/ Study of Random Particle Interactions for Analysis of Diffusion Lengths in Turbulent Combustion Modelling M. M., Noor T. F., Yusaf TJ Mechanical engineering and machinery Turbulent combustion is commonly modelled using probability density function (PDF) methods; to close these methods, micro-mixing models are required: these are most commonly based on stochastic particle interactions. While it is standard practice for the turbulent diffusion coefficient to be used to specify the amount of mixing, few models account for the corresponding diffusion length scale that defines interacting particle separation. This study investigates ensemble averages of the minimum, mean and maximum inter-particle distances for random realisations as a precursor to comparing with the diffusion length in real simulations. It was found that the ensemble of results for each type of inter-particle distance (minimum, mean or maximum) had a normal distribution. For 1 to 1000 dimensions, the minimum inter-particle distances for 100 particles were 0.0051 to 12.3406 and the average distances were 0.3297 to 12.7776. 2011 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/2110/1/ACS2011_Study_Inter_Particle_Muhamad_Paper_ACS_036_Final.pdf M. M., Noor and T. F., Yusaf (2011) Study of Random Particle Interactions for Analysis of Diffusion Lengths in Turbulent Combustion Modelling. In: Australian Combustion Symposium , 29 Nov- 1 Dec 2011 , University of Newcastle. . (Published)
spellingShingle TJ Mechanical engineering and machinery
M. M., Noor
T. F., Yusaf
Study of Random Particle Interactions for Analysis of Diffusion Lengths in Turbulent Combustion Modelling
title Study of Random Particle Interactions for Analysis of Diffusion Lengths in Turbulent Combustion Modelling
title_full Study of Random Particle Interactions for Analysis of Diffusion Lengths in Turbulent Combustion Modelling
title_fullStr Study of Random Particle Interactions for Analysis of Diffusion Lengths in Turbulent Combustion Modelling
title_full_unstemmed Study of Random Particle Interactions for Analysis of Diffusion Lengths in Turbulent Combustion Modelling
title_short Study of Random Particle Interactions for Analysis of Diffusion Lengths in Turbulent Combustion Modelling
title_sort study of random particle interactions for analysis of diffusion lengths in turbulent combustion modelling
topic TJ Mechanical engineering and machinery
url http://umpir.ump.edu.my/id/eprint/2110/1/ACS2011_Study_Inter_Particle_Muhamad_Paper_ACS_036_Final.pdf
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