A stochastic micromixing model based on the turbulent diffusion length scale

Paper

Wandel, Andrew P.. 2011. "A stochastic micromixing model based on the turbulent diffusion length scale." Kennedy, Eric, Moghtaderi, Bogdan, Dlugogorski, Behdad and Masri, Assaad (ed.) 11th Australian Combustion Symposium (ACS 2011). Newcastle, Australia 29 Nov - 01 Dec 2011 Sydney, Australia.
Paper/Presentation Title

A stochastic micromixing model based on the turbulent diffusion length scale

Presentation TypePaper
Authors
AuthorWandel, Andrew P.
EditorsKennedy, Eric, Moghtaderi, Bogdan, Dlugogorski, Behdad and Masri, Assaad
Journal or Proceedings TitleProceedings of the 11th Australian Combustion Symposium (ACS 2011)
ERA Conference ID42521
Journal Citation1 (1), pp. 70-73
Number of Pages4
Year2011
Place of PublicationSydney, Australia
Web Address (URL) of Paperhttp://www.2011australiancombustionsymposium.com/
Conference/Event11th Australian Combustion Symposium (ACS 2011)
Australian Combustion Symposium
Event Details
Australian Combustion Symposium
Rank
C
C
C
C
C
C
C
C
Event Details
11th Australian Combustion Symposium (ACS 2011)
Event Date
29 Nov 2011 to end of 01 Dec 2011
Event Location
Newcastle, Australia
Abstract

A new micromixing model to close probability density function (pdf) models is proposed. The model is based on the proposition that each computational timestep, stochastic particles move within the scalar space (on average) by a distance equal to the turbulent diffusion length scale. At each timestep, the model evaluates the distance in scalar space between all particles. During the timestep, a discrete pdf is computed for the distance between unmixed particles and the cumulative integral for the mean calculated. A filter is applied to retain the lower portion of the distance domain so that the cumulative integral is equal to the average diffusion length required to decrease the scalar variance. A sample (a pair of particles) is chosen from this filtered part of the domain and the particles mixed using Modified Curl's model. The complete interparticle-distance pdf is re-evaluated for each pair to ensure that there is sufficient capacity to mix to meet the variance decay requirements. Preliminary tests show that this model obeys several fundamental properties required of micromixing models, including conservation, correct decay of variance and relaxation to Gaussian pdf.

Keywordsmicromixing model; diffusion length; stochastic particles
ANZSRC Field of Research 2020401703. Energy generation, conversion and storage (excl. chemical and electrical)
401213. Turbulent flows
401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics)
401205. Experimental methods in fluid flow, heat and mass transfer
Public Notes

This publication is copyright. It may be reproduced in whole or in part for the purposes of study, research, or review, but is subject to the inclusion of an acknowledgment of the source.

Byline AffiliationsDepartment of Mechanical and Mechatronic Engineering
Institution of OriginUniversity of Southern Queensland
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Wandel, Andrew P.. 2013. "Mixture fraction probability density functions in sparse spray flames with spark ignition." Zhu, Mingming, Ma, Yu, Yu, Yun, Vuthaluru, Hari, Zhang, Zhezi and Zhang, Dongke (ed.) 7th Australian Combustion Symposium (ACS 2013). Perth, Australia 06 - 08 Nov 2013 Perth, Australia.
The air fuel ratio study for the mixture of biogas and hydrogen on mild combustion
Noor, M. M., Wandel, Andrew P. and Yusaf, Talal. 2013. "The air fuel ratio study for the mixture of biogas and hydrogen on mild combustion." 3rd Malaysian Postgraduate Conference (MPC 2013). Sydney, Australia 04 - 05 Jul 2013 Sydney, Australia.
Discretization of three dimensional non-uniform grid: conditional moment closure elliptic equation using finite difference method
Noor, M. M., Wandel, Andrew P. and Yusaf, Talal. 2013. "Discretization of three dimensional non-uniform grid: conditional moment closure elliptic equation using finite difference method." 3rd Malaysian Postgraduate Conference (MPC 2013). Sydney, Australia 04 - 05 Jul 2013 Sydney, Australia.
A homogeneous charge compression ignition engine: an introduction
Hairuddin, A. Aziz, Wandel, Andrew P. and Yusaf, Talal. 2013. "A homogeneous charge compression ignition engine: an introduction." 3rd Malaysian Postgraduate Conference (MPC 2013). Sydney, Australia 04 - 05 Jul 2013 Sydney, Australia.
Conditional dissipation of scalars in homogeneous turbulence: closure for MMC modelling
Wandel, Andrew P.. 2013. "Conditional dissipation of scalars in homogeneous turbulence: closure for MMC modelling." Combustion Theory and Modelling. 17 (4), pp. 707-748. https://doi.org/10.1080/13647830.2013.794391
Extinction predictors in turbulent sprays
Wandel, Andrew P.. 2013. "Extinction predictors in turbulent sprays." Proceedings of the Combustion Institute. 34 (1), pp. 1625-1632. https://doi.org/10.1016/j.proci.2012.07.037
Hybrid multiple mapping conditioning modeling of local extinction
Wandel, Andrew P. and Lindstedt, R. Peter. 2013. "Hybrid multiple mapping conditioning modeling of local extinction." Proceedings of the Combustion Institute. 34 (1), pp. 1365-1372. https://doi.org/10.1016/j.proci.2012.07.073
Student perceptions of teammates' performance: influence of team formation method
Wandel, Andrew P. and Willey, Keith. 2012. "Student perceptions of teammates' performance: influence of team formation method." Mann, Llewellyn and Daniel, Scott (ed.) 23rd Annual Conference of the Australasian Association for Engineering Education (AAEE 2012). Melbourne, Australia 03 - 05 Dec 2012 Melbourne, Australia.
A review of mild combustion and open furnace design consideration
Noor, M. M., Wandel, Andrew P. and Yusaf, Talal. 2012. "A review of mild combustion and open furnace design consideration." International Journal of Automotive and Mechanical Engineering. 6 (1), pp. 730-754.
HCCI engine: numerical and experimental approach
Hairuddin, A. Aziz, Yusaf, Talal F. and Wandel, Andrew P.. 2012. "HCCI engine: numerical and experimental approach." Noor, M. M., Baker, Paul and Yusaf, Talal F. (ed.) USQ Combustion Meeting 2012 (26th September). Toowoomba, Australia 26 Sep 2012 Toowoomba, Australia.
Investigation of Biogas Moderate or Intense Low Oxygen Dilution (MILD) combustion on open furnace bluff-body burner
Noor, M. M., Wandel, Andrew P. and Yusaf, T. F.. 2012. "Investigation of Biogas Moderate or Intense Low Oxygen Dilution (MILD) combustion on open furnace bluff-body burner." Noor, M. M., Baker, Paul and Yusaf, Talal F. (ed.) USQ Combustion Meeting 2012 (29th August). Toowoomba, Australia 29 Aug 2012 Toowoomba, Australia.
Modelling of non-premixed turbulent combustion of hydrogen using conditional moment closure method
Noor, M. M., Hairuddin, A. Aziz, Wandel, Andrew P. and Yusaf, T. F.. 2012. "Modelling of non-premixed turbulent combustion of hydrogen using conditional moment closure method." IOP Conference Series: Materials Science and Engineering. 36 (1), pp. 1-17. https://doi.org/10.1088/1757-899X/36/1/012036
The modelling of the effect of air fuel ratio on unburned hydrocarbons for MILD combustion
Noor, M. M., Wandel, Andrew P. and Yusaf, T. F.. 2012. "The modelling of the effect of air fuel ratio on unburned hydrocarbons for MILD combustion." Noor, M. M., Rahman, M. M. and Ismail, J. (ed.) 2nd Malaysian Postgraduate Conference (MPC 2012). Gold Coast, Australia 07 - 09 Jul 2012 Sydney, Australia.
A preliminary study of control parameters for open furnace mild combustion using CFD
Noor, M. M., Wandel, Andrew P. and Yusaf, T. F.. 2012. "A preliminary study of control parameters for open furnace mild combustion using CFD." Noor, M. M., Rahman, M. M. and Ismail, J. (ed.) 2nd Malaysian Postgraduate Conference (MPC 2012). Gold Coast, Australia 07 - 09 Jul 2012 Sydney, Australia.
Mild combustion: a technical review towards open furnace combustion
Noor, M. M., Wandel, Andrew P. and Yusaf, T. F.. 2012. "Mild combustion: a technical review towards open furnace combustion." Noor, M. M., Rahman, M. M. and Ismail, J. (ed.) 2nd Malaysian Postgraduate Conference (MPC 2012). Gold Coast, Australia 07 - 09 Jul 2012 Sydney, Australia.
Numerical investigation of influence of air and fuel dilution for open furnace MILD combustion burner
Noor, M. M., Wandel, Andrew P. and Yusaf, T. F.. 2012. "Numerical investigation of influence of air and fuel dilution for open furnace MILD combustion burner." 2012 Southern Regional Engineering Conference (SREC 2012). Toowoomba, Australia 01 Sep 2012 Canberra, Australia.
Predicting the combustion behaviour of a diesel HCCI engine using a zero-dimensional single-zone model
Hairuddin, A. Aziz, Yusaf, Talal F. and Wandel, Andrew P.. 2011. "Predicting the combustion behaviour of a diesel HCCI engine using a zero-dimensional single-zone model." Kennedy, Eric, Dlugogorski, Bogdan, Moghtaderi, Behdad and Masri, Assaad (ed.) 11th Australian Combustion Symposium (ACS 2011). Newcastle, Australia 29 Nov - 01 Dec 2011 Sydney, Australia.
Team formation by region to improve outcomes for distance-education students in a PBL course
Wandel, Andrew P.. 2011. "Team formation by region to improve outcomes for distance-education students in a PBL course." 41st ASEE/IEEE Frontiers in Education Conference (FIE 2011): Celebrating 41 Years of Monumental Innovations from around the World. Rapid City, United States 12 - 15 Oct 2011 Piscataway, NJ. United States. https://doi.org/10.1109/FIE.2011.6142727
Implementation of conditional moment closure using the Taylor expansion and finite differences
Noor, M. M., Hairuddin, A. Aziz, Wandel, Andrew P. and Yusaf, T. F.. 2011. "Implementation of conditional moment closure using the Taylor expansion and finite differences." 1st International Conference of Mechanical Engineering Research (ICMER 2011). Kuantan, Malaysia 05 - 07 Dec 2011 Kuantan, Malaysia.
Optimising the design, installation and operation of a monolayer application system on a farm dam via a 'Universal Design Framework'
Brink, Gavin, Wandel, Andrew, Pittaway, Pam, Hancock, Nigel and Schmidt, Erik. 2011. "Optimising the design, installation and operation of a monolayer application system on a farm dam via a 'Universal Design Framework'." Thompson, Chris (ed.) Irrigation 2011: New Horizons, Fresh Ideas Regional Conference and Exhibition. Launceston, Australia 22 - 25 Aug 2011 Sydney, Australia.
A hybrid EMST-modified Curl's model for turbulent combustion modelling
Noor, M. M., Wandel, Andrew P. and Yusaf, T. F.. 2011. "A hybrid EMST-modified Curl's model for turbulent combustion modelling." University of Southern Queensland's Research Evening: Showcasing USQ Research (2011). Toowoomba, Australia 17 Nov 2011
Study of random particle interactions for analysis of diffusion lengths in turbulent combustion modelling
Noor, M. M., Yusaf, T. F. and Wandel, Andrew P.. 2011. "Study of random particle interactions for analysis of diffusion lengths in turbulent combustion modelling." Kennedy, Eric, Dlugogorski, Bogdan, Moghtaderi, Behdad and Masri, Assaad (ed.) 11th Australian Combustion Symposium (ACS 2011). Newcastle, Australia 29 Nov - 01 Dec 2011 Sydney, Australia.
Testing multiple mapping conditioning mixing for Monte Carlo probability density function simulations
Wandel, Andrew P. and Klimenko, Alexander Y.. 2005. "Testing multiple mapping conditioning mixing for Monte Carlo probability density function simulations." Physics of Fluids. 17 (12). https://doi.org/10.1063/1.2147609
Utilising tablet PCs in tutorials to aid external students
Wandel, Andrew P.. 2009. "Utilising tablet PCs in tutorials to aid external students." Kestell, Colin, Grainger, Steven and Cheung, John (ed.) 20th Annual Conference for the Australasian Association of Engineering Education (AAEE 2009). Adelaide, Australia 06 - 09 Dec 2009 Adelaide, Australia.
Hybrid binomial Langevin-multiple mapping conditioning modeling of a reacting mixing layer
Wandel, Andrew P. and Lindstedt, R. Peter. 2009. "Hybrid binomial Langevin-multiple mapping conditioning modeling of a reacting mixing layer." Physics of Fluids. 21 (1). https://doi.org/10.1063/1.3041716
Which version art thou? Configuration management in engineering education
Jokic, Michael D., Wandel, Andrew P. and Kist, Alexander A.. 2010. "Which version art thou? Configuration management in engineering education." Gardner, Anne and Jolly, Lesley (ed.) 21st Annual Conference for the Australasian Association of Engineering Education (AAEE 2010). Sydney, Australia 05 - 08 Dec 2010 Sydney, Australia.
Analysis of data to develop models for spray combustion
Clarke, Jason, Wandel, Andrew P. and Mastorakos, E.. 2010. "Analysis of data to develop models for spray combustion." Goh, Steven C. and Wang, Hao (ed.) 2010 Southern Region Engineering Conference (SREC 2010). Toowoomba, Australia 11 - 12 Nov 2010 Toowoomba, Australia.
Hydrogen and natural gas comparison in diesel HCCI engines -a review
Hairuddin, A. Aziz, Wandel, Andrew P. and Yusaf, Talal. 2010. "Hydrogen and natural gas comparison in diesel HCCI engines -a review." Goh, Steven C. and Wang, Hao (ed.) 2010 Southern Region Engineering Conference (SREC 2010). Toowoomba, Australia 11 - 12 Nov 2010 Toowoomba, Australia.
Linkages between courses: a holistic approach to programmes
Wandel, Andrew P.. 2010. "Linkages between courses: a holistic approach to programmes." Gardner, Anne and Jolly, Lesley (ed.) 21st Annual Conference for the Australasian Association of Engineering Education (AAEE 2010). Sydney, Australia 05 - 08 Dec 2010 Sydney, Australia.
Student usage of videos containing worked solutions
Wandel, Andrew P.. 2010. "Student usage of videos containing worked solutions." Gardner, Anne and Jolly, Lesley (ed.) 21st Annual Conference for the Australasian Association of Engineering Education (AAEE 2010). Sydney, Australia 05 - 08 Dec 2010 Sydney, Australia.
Scaffolding distance learning in mathematics for engineering: identifying key troublesome knowledge
Galligan, Linda, Wandel, Andrew P. and Hartle, R. Todd. 2010. "Scaffolding distance learning in mathematics for engineering: identifying key troublesome knowledge." Hudson, Peter, Chandra, Vinesh, King, Donna and Lee, Kar-Tin (ed.) 1st Science, Technology, Engineering and Mathematics in Education Conference (STEM 2010). Brisbane, Australia 26 - 27 Nov 2010 Brisbane, Australia.
Experimental and modeling investigation of the performance characteristics on diesel HCCI with hydrogen additive - a review
Supeni, E. E., Yusaf, Talal, Wandel, Andrew P., Buttsworth, David R. and Noor, M. M.. 2010. "Experimental and modeling investigation of the performance characteristics on diesel HCCI with hydrogen additive - a review." 2nd National Conference in Mechanical Engineering Research and Postgraduate Studies. Kuantan, Malaysia 03 - 04 Dec 2010 Malaysia.
Determining operational requirements to optimise monolayer performance on a farm dam via a 'Universal Design Framework'
Brink, Gavin, Wandel, Andrew P., Pittaway, Pam, Hancock, Nigel and Pather, Selvan. 2010. "Determining operational requirements to optimise monolayer performance on a farm dam via a 'Universal Design Framework'." Montagu, Kelvin (ed.) Australian Irrigation Conference and Exibition 2010: One Water Many Futures. Sydney, Australia 08 - 10 Jun 2010 Sydney, Australia.
A ‘universal design framework’ for installation planning and operational management of evaporation-suppressing films on agricultural reservoirs
Brink, Gavin, Wandel, Andrew P., Pittaway, Pam, Hancock, Nigel and Pather, Selvan. 2010. "A ‘universal design framework’ for installation planning and operational management of evaporation-suppressing films on agricultural reservoirs." Genet, Roger (ed.) International Conference on Agricultural Engineering: Towards Environmental Technologies (2010). Clermont-Ferrand, France 06 - 08 Sep 2010
Application of hybrid binomial Langevin-multiple mapping conditioning method to reacting jet flow
Wandel, Andrew P. and Lindstedt, R. Peter. 2009. "Application of hybrid binomial Langevin-multiple mapping conditioning method to reacting jet flow." Klimenko, Alexander Y., Cleary, Matthew J., Feng, Bo, Rudolph, Victor, Boyce, Russell R., Wandel, Andrew P. and Clements, Rose (ed.) Australian Combustion Symposium (ACS 2009). Brisbane, Australia 02 - 04 Dec 2009 Brisbane, Australia.
Direct numerical simulations of autoignition in turbulent two-phase flows
Schroll, Peter, Wandel, Andrew P., Cant, R. Stewart and Mastorakos, E.. 2009. "Direct numerical simulations of autoignition in turbulent two-phase flows." Proceedings of the Combustion Institute. 32 (2), pp. 2275-2282. https://doi.org/10.1016/j.proci.2008.06.057
Direct numerical simulations of turbulent flame expansion in fine sprays
Wandel, Andrew P., Chakraborty, Nilanjan and Mastorakos, E.. 2009. "Direct numerical simulations of turbulent flame expansion in fine sprays." Proceedings of the Combustion Institute. 32 (2), pp. 2283-2290. https://doi.org/10.1016/j.proci.2008.06.102
Towards adaptive operational requirements for optimal application of evaporation-suppressing monolayer to reservoirs via a 'universal design framework'
Brink, Gavin, Wandel, Andrew P., Hancock, Nigel and Pather, Selvan. 2009. "Towards adaptive operational requirements for optimal application of evaporation-suppressing monolayer to reservoirs via a 'universal design framework'." IWER 2009: International Workshop on Evaporation from Reservoirs. Gold Coast, Australia 09 - 11 Dec 2009 Gold Coast, Australia.