Extending the concept of machine acceleration used to model the bubble-particle detachment in flotation. Part 2 – Machine acceleration of solid particles in water

Article


Ngo-Cong, Duc and Nguyen, Anh V.. 2020. "Extending the concept of machine acceleration used to model the bubble-particle detachment in flotation. Part 2 – Machine acceleration of solid particles in water." Minerals Engineering. 146, pp. 1-12. https://doi.org/10.1016/j.mineng.2019.106134
Article Title

Extending the concept of machine acceleration used to model the bubble-particle detachment in flotation.
Part 2 – Machine acceleration of solid particles in water

ERA Journal ID4052
Article CategoryArticle
AuthorsNgo-Cong, Duc (Author) and Nguyen, Anh V. (Author)
Journal TitleMinerals Engineering
Journal Citation146, pp. 1-12
Article Number106134
Number of Pages12
Year2020
Place of PublicationUnited Kingdom
ISSN0892-6875
1872-9444
Digital Object Identifier (DOI)https://doi.org/10.1016/j.mineng.2019.106134
Web Address (URL)https://www.sciencedirect.com/science/article/abs/pii/S089268751930545X
Abstract

The machine acceleration introduced by H. J. Schulze has been a cornerstone of the bubble-particle (BP) detachment theory. It connects the mean dissipation rate of turbulence energy of water in a flotation machine with the BP detachment. In a recent paper, we scrutinized the theory and recommended its extension to cover both the longitudinal (centrifugation) and transverse (shear) effects of water turbulence. Since there is a significant difference in the densities of water, solid particles, and air bubbles, it is unknown if the available determination of the machine acceleration using the “water particles” is a good approximation for the bubble-particle aggregates. This paper aims to provide an answer to this fundamental question. For simplicity, this paper focuses on the acceleration of solid particles in water. Specifically, we use the Basset-Boussinesq-Oseen equation to quantify the particle acceleration. The correlation method in combination with the isotropic turbulence theory is applied to predict the particle acceleration components for the full range of turbulence length scale. Comparing with Schulze’s model, our recent model shows that the particle inertia should be considered in calculating the machine acceleration, especially for large and/or heavy particles and high energy dissipation rate. Our numerical results show that the machine acceleration decreases with increasing particle size and density and increases with increasing dissipation rate of turbulent kinetic energy and turbulence intensity.

Keywordsbubble-particle detachment; machine acceleration; turbulence; particle inertia; flotation theory
ANZSRC Field of Research 2020401212. Non-Newtonian fluid flows (incl. rheology)
490302. Numerical analysis
490399. Numerical and computational mathematics not elsewhere classified
Byline AffiliationsInstitute for Advanced Engineering and Space Sciences
University of Queensland
Institution of OriginUniversity of Southern Queensland
Funding source
Australian Research Council (ARC)
Grant ID
DP150100395
Permalink -

https://research.usq.edu.au/item/q573q/extending-the-concept-of-machine-acceleration-used-to-model-the-bubble-particle-detachment-in-flotation-part-2-machine-acceleration-of-solid-particles-in-water

  • 131
    total views
  • 9
    total downloads
  • 1
    views this month
  • 0
    downloads this month

Export as

Related outputs

Numerical solution of a highly nonlinear and non-integrable equation using integrated radial basis function network method
Bhanot, Rajeev P., Strunin, Dmitry V. and Ngo-Cong, Duc. 2020. "Numerical solution of a highly nonlinear and non-integrable equation using integrated radial basis function network method." Chaos: an interdisciplinary journal of nonlinear science. 30 (8). https://doi.org/10.1063/5.0009215
A control volume scheme using compact integrated radial basis function stencils for solving the Richards equation
Ngo-Cong, Duc, Mai-Duy, Nam, Antille, Diogenes L. and van Genuchten, Martinus Th.. 2020. "A control volume scheme using compact integrated radial basis function stencils for solving the Richards equation." Journal of Hydrology. 580, pp. 1-10. https://doi.org/10.1016/j.jhydrol.2019.124240
A symmetric integrated radial basis function method for solving differential equations
Mai-Duy, Nam, Dalal, Deepak, Le, Thi Thuy Van, Ngo-Cong, Duc and Tran-Cong, Thanh. 2018. "A symmetric integrated radial basis function method for solving differential equations." Numerical Methods for Partial Differential Equations. 34 (3), pp. 959-981. https://doi.org/10.1002/num.22240
Examining and extending the concept of machine acceleration used in modelling the bubble-particle detachment in flotation
Ngo-Cong, Duc and Nguyen, Anh V.. 2019. "Examining and extending the concept of machine acceleration used in modelling the bubble-particle detachment in flotation." Minerals Engineering. 134, pp. 77-86. https://doi.org/10.1016/j.mineng.2019.01.022
Simulations of autonomous fluid pulses between active elastic walls using the 1D-IRBFN Method
Ahmed, Fatima Z., Mohammed, Mayada G., Strunin, Dmitry V. and Ngo-Cong, Duc. 2018. "Simulations of autonomous fluid pulses between active elastic walls using the 1D-IRBFN Method ." Mathematical Modelling of Natural Phenomena (MMNP). 13 (5), pp. 1-25. https://doi.org/10.1051/mmnp/2018058
Isotropic turbulence surpasses gravity in affecting bubble-particle collision interaction in flotation
Ngo-Cong, Duc, Nguyen, Anh V. and Tran-Cong, Thanh. 2018. "Isotropic turbulence surpasses gravity in affecting bubble-particle collision interaction in flotation." Minerals Engineering. 122, pp. 165-175. https://doi.org/10.1016/j.mineng.2018.03.033
Predicting water allocation trade prices using a hybrid Artificial Neural Network-Bayesian modelling approach
Nguyen-Ky, Tai, Mushtaq, Shahbaz, Loch, Adam, Reardon-Smith, Kate, An-Vo, Duc-Anh, Ngo-Cong, Duc and Tran-Cong, Thanh. 2018. "Predicting water allocation trade prices using a hybrid Artificial Neural Network-Bayesian modelling approach." Journal of Hydrology. 567, pp. 781-791. https://doi.org/10.1016/j.jhydrol.2017.11.049
Numerical modelling of moisture motion in heterogeneous soils using 1D-MIRBF method
Ngo-Cong, Duc, An-Vo, Duc-Anh and Nguyen-Ky, Tai. 2014. "Numerical modelling of moisture motion in heterogeneous soils using 1D-MIRBF method." 2nd Digital Rural Futures Conference 2014. Toowoomba, Australia 25 - 27 Jun 2014
Forecasting water market prices in the Murray-Darling basin using Hybrid Artificial Neural Network (ANN) - Bayesian Modelling Approach
Nguyen-Ky, Tai, Mushtaq, Shahbaz, An-Vo, Duc-Anh and Ngo-Cong, Duc. 2014. "Forecasting water market prices in the Murray-Darling basin using Hybrid Artificial Neural Network (ANN) - Bayesian Modelling Approach." 2nd Digital Rural Futures Conference 2014. Toowoomba, Australia 25 - 27 Jun 2014
Toward a stochastic precipitation generator conditioned on ENSO phase for eastern Australia
An-Vo, Duc-Anh, Stone, Roger, Ngo-Cong, Duc and Marcussen, Torben. 2017. "Toward a stochastic precipitation generator conditioned on ENSO phase for eastern Australia." Syme, G., Hatton MacDonald, D., Fulton, B. and Piantadosi, J. (ed.) 22nd International Congress on Modelling and Simulation (MODSIM2017). Hobart, Australia 03 - 08 Dec 2017 Hobart, Tasmania, Australia. Modelling and Simulation Society of Australia and New Zealand .
A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils
Ngo-Cong, D., Tien, C.M.T., Nguyen-Ky, T., An-Vo, D.-A., Mai-Duy, N., Strunin, D. V. and Tran-Cong, T.. 2017. "A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils." International Journal for Numerical Methods in Fluids. 85 (7), pp. 404-429. https://doi.org/10.1002/fld.4386
High-order fluid solver based on a combined compact integrated RBF approximation and its fluid structure interaction applications
Tien, C. M. T, Ngo-Cong, D., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2016. "High-order fluid solver based on a combined compact integrated RBF approximation and its fluid structure interaction applications." Computers and Fluids. 131, pp. 151-168. https://doi.org/10.1016/j.compfluid.2016.03.021
Compact approximation stencils based on integrated flat radial basis functions
Mai-Duy, N., Le, T. T. V., Tien, C. M. T., Ngo-Cong, D. and Tran-Cong, T.. 2017. "Compact approximation stencils based on integrated flat radial basis functions." Engineering Analysis with Boundary Elements. 74, pp. 79-87. https://doi.org/10.1016/j.enganabound.2016.11.002
A review of stochastic description of the turbulence effect on bubble-particle interactions in flotation
Nguyen, Anh V., An-Vo, Duc-Anh, Tran-Cong, Thanh and Evans, Geoffrey M.. 2016. "A review of stochastic description of the turbulence effect on bubble-particle interactions in flotation." International Journal of Mineral Processing. 156, pp. 75-86. https://doi.org/10.1016/j.minpro.2016.05.002
Using 1D-IRBFN method for solving high-order nonlinear differential equations arising in models of active-dissipative systems
Strunin, Dmitry V., Ngo-Cong, Duc and Bhanot, Rajeev. 2015. "Using 1D-IRBFN method for solving high-order nonlinear differential equations arising in models of active-dissipative systems." Idelsohn, Sergio R., Sonzogni, Victorio, Coutinho, Alvaro, Cruchaga, Marcela, Lew, Adrian and Cerrolaza, Miguel (ed.) 1st Pan-American Congress on Computational Mechanics, (PANACM 2015) in conjunction with the XI Argentine Congress on Computational Mechanics (MECOM 2015). Buenos Aires, Argentina 27 - 29 Apr 2015 Barcelona, Spain.
Stable integrated RBF calculation using preconditioning and high-order compact approximation for second-order PDEs
Tien, C. M. T., Mai-Duy, N., Ngo-Cong, D., Tran, C. D. and Tran-Cong, T.. 2015. "Stable integrated RBF calculation using preconditioning and high-order compact approximation for second-order PDEs." Witt, Peter (ed.) Eleventh International Conference on Computational Fluid Dynamics in the Minerals and Process Industries 2015. Melbourne, Victoria 07 - 09 Dec 2015 Australia.
Incompressible smoothed particle hydrodynamics-moving IRBFN method for viscous flow problems
Ngo-Cong, D., Tran, C.-D., Mai-Duy, N. and Tran-Cong, T.. 2015. "Incompressible smoothed particle hydrodynamics-moving IRBFN method for viscous flow problems." Engineering Analysis with Boundary Elements. 59, pp. 172-186. https://doi.org/10.1016/j.enganabound.2015.06.006
Higher-order approximation of contaminant transport equation for turbulent channel flows based on centre manifolds and its numerical solution
Ngo-Cong, D., Mohammed, F. J., Strunin, D. V., Skvortsov, A. T., Mai-Duy, N. and Tran-Cong, T.. 2015. "Higher-order approximation of contaminant transport equation for turbulent channel flows based on centre manifolds and its numerical solution." Journal of Hydrology. 525, pp. 87-101. https://doi.org/10.1016/j.jhydrol.2015.03.038
Asymptotics of averaged turbulent transfer in canopy flows
Mohammed, F. J., Strunin, D. V., Ngo-Cong, D. and Tran-Cong, T.. 2015. "Asymptotics of averaged turbulent transfer in canopy flows." Journal of Engineering Mathematics. 91 (1), pp. 81-104. https://doi.org/10.1007/s10665-014-9737-y
Modelling dispersion in laminar and turbulent flows in an open channel based on centre manifolds using 1D-IRBFN method
Mohammed, F. J., Ngo-Cong, D., Strunin, D. V., Mai-Duy, N. and Tran-Cong, T.. 2014. "Modelling dispersion in laminar and turbulent flows in an open channel based on centre manifolds using 1D-IRBFN method." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 38 (14), pp. 3672-3691. https://doi.org/10.1016/j.apm.2013.12.007
Local Moving Least Square - One-Dimensional IRBFN Technique: Part II- Unsteady Incompressible Viscous Flows
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2012. "Local Moving Least Square - One-Dimensional IRBFN Technique: Part II- Unsteady Incompressible Viscous Flows ." CMES Computer Modeling in Engineering and Sciences. 83 (3), pp. 311-351. https://doi.org/10.3970/cmes.2012.083.311
Local Moving Least Square - One-Dimensional IRBFN Technique: Part I - Natural Convection Flows in Concentric and Eccentric Annuli
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2012. "Local Moving Least Square - One-Dimensional IRBFN Technique: Part I - Natural Convection Flows in Concentric and Eccentric Annuli ." CMES Computer Modeling in Engineering and Sciences. 83 (3), pp. 275-310. https://doi.org/10.3970/cmes.2012.083.275
A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods for fluid-structure interaction analysis
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2012. "A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods for fluid-structure interaction analysis." CMES Computer Modeling in Engineering and Sciences. 83 (5), pp. 459-498. https://doi.org/10.3970/cmes.2012.083.459
Local moving least square-one-dimensional integrated radial basis function networks technique for incompressible viscous flows
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2012. "Local moving least square-one-dimensional integrated radial basis function networks technique for incompressible viscous flows." International Journal for Numerical Methods in Fluids. 70 (11), pp. 1443-1474. https://doi.org/10.1002/fld.3640
Moving least square: one dimensional integrated radial basis function networks for time dependent problems
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2011. "Moving least square: one dimensional integrated radial basis function networks for time dependent problems." Brebbia, C. A. and Popov, V. (ed.) 33rd International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2011). New Forest, United Kingdom 28 - 30 Jun 2011 Southampton, UK. https://doi.org/10.2495/BE110271
Free vibration analysis of laminated composite plates based on FSDT using one-dimensional IRBFN method
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2011. "Free vibration analysis of laminated composite plates based on FSDT using one-dimensional IRBFN method." Computers and Structures. 89 (1-2), pp. 1-13. https://doi.org/10.1016/j.compstruc.2010.07.012
Integrated radial basis function methods for structural, fluid flow and fluid-structure interaction analyses
Ngo-Cong, Duc. 2012. Integrated radial basis function methods for structural, fluid flow and fluid-structure interaction analyses. PhD Thesis Doctor of Philosophy. University of Southern Queensland.
Integrated-RBF network method for free vibration analysis of laminated composite plates
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2010. "Integrated-RBF network method for free vibration analysis of laminated composite plates." Khalili, N., Valliappan, S., Li, Q. and Russell, A. (ed.) 9th World Congress on Computational Mechanics and 4th Asian-Pacific Congress on Computational Mechanics (WCCM/APCOM 2010). Sydney, Australia 19 - 23 Jul 2010 Bristol, United Kingdom. Informa UK(IOP Books). https://doi.org/10.1088/1757-899X/10/1/012236