Improved Multicomponent Multiphase Lattice Boltzmann Model for Physical Foaming Simulation

Document Type : Regular Article

Authors

College of Electromechanical Engineering, Qingdao University of Science & Technology, Qingdao, Shandong Province, 266061, China

10.47176/jafm.15.04.1141

Abstract

The lattice Boltzmann models, especially the pseudopotential models, have been developed to investigate multicomponent multiphase fluids in presence of phase change process. However, the interparticle force between different components causes compressibility error in the non-phase-change component. This restricts the model capability in quantitative analysis of the physical foaming process, such as expansion rate and decay time. In the present study, a multicomponent multiphase pseudopotential phase change model (the MMPPCM) is improved by introducing an effective mass form of high-pressure-difference multicomponent model in the non-phase-change component. The improved model is compared with the MMPPCM based on simulations of the phase change process of static and moving fluids, as well as the physical foaming process. Density variation of non-phase-change component and its effect on flow field characteristics are analyzed during the phase change process. Simulation results of physical foaming process lead to about 10% ~ 20% reduction of the compressibility error for the improved model as compared with the results of MMPPCM. The improved model also enhances the computational stability of phase change simulation of the static droplets.

Keywords


Aliu, O., H. Sakidin, J. Foroozesh and N. Yahya (2020). Lattice Boltzmann application to nanofluids dynamics-A review. Journal of Molecular Liquids 300, 112284.##
Ataei, M., V. Shaayegan, F. Costa, S. Han, C. B. Park and Bussmann M. (2021). LBfoam: An open-source software package for the simulation of foaming using the Lattice Boltzmann Method. Computer Physics Communications 259, 107698.##
Bespalko, D., A. Pollard and M. Uddin (2012). Analysis of the pressure fluctuations from an LBM simulation of turbulent channel flow. Computers & fluids 54, 143-146.##
Fogliatto, E. O., A. Clausse and F. E. Teruel (2019). Simulation of phase separation in a Van der Waals fluid under gravitational force with Lattice Boltzmann method. International Journal of Numerical Methods for Heat & Fluid Flow 29(9), 3095-3109.##
Gong, S. and P. Cheng (2012). A lattice Boltzmann method for simulation of liquid–vapor phase-change heat transfer. International Journal of Heat and Mass Transfer 55(17-18). 4923-4927.##
Gong, S. P. and Cheng (2013). Lattice Boltzmann simulation of periodic bubble nucleation, growth and departure from a heated surface in pool boiling. International Journal of Heat and Mass Transfer 64, 122-132.##
Gong, S. and P. Cheng (2015). Lattice Boltzmann simulations for surface wettability effects in saturated pool boiling heat transfer. International Journal of Heat and Mass Transfer 85, 635-646.##
Gunstensen, A. K., D. H. Rothman, S. Zaleski and G. Zanetti (1991). Lattice Boltzmann model of immiscible fluids. Physical Review A 43(8), 4320.##
Guo, Z. L., C. G. Zheng and B. C. Shi (2002). Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method. Chinese Physics 11(4), 0366-0374.##
Hailesilassie, B. (2016). Morphology Characterization of Foam Bitumen and Modeling for Low Temperature Asphalt Concrete. Ph. D. thesis, KTH Royal Institute of Technology, Stockholm, Sweden.##
Házi, G. and A. Márkus (2009). On the bubble departure diameter and release frequency based on numerical simulation results. International Journal of Heat and Mass Transfer 52(5-6), 1472-1480.##
Iwański, M., G. Mazurek, P. Buczyński and J. Zapała-Sławeta (2021). Multidimensional analysis of foaming process impact on 50/70 bitumen ageing. Construction and Building Materials 266, 121231.##
Jenkins, K. J. (2000). Mix design considerations for cold and half-warm bituminous mixes with emphasis of foamed bitumen. Ph. D. thesis, Stellenbosch University, Stellenbosch, South Africa.##
Jourabian, M., M. Farhadi and A. A. R. Darzi (2012). Lattice Boltzmann investigation for enhancing the thermal conductivity of ice using Al2O3 porous matrix. International Journal of Computational Fluid Dynamics 26(9-10), 451-462.##
Körner, C., M. Thies, T. Hofmann, N. Thürey and U. Rüde (2005). Lattice Boltzmann model for free surface flow for modeling foaming. Journal of Statistical Physics 121(1), 179-196.##
Kupershtokh, A. L., D. A. Medvedev and D. I. Karpov (2009). On equations of state in a lattice Boltzmann method. Computers & Mathematics with Applications 58(5), 965-974.##
Li, M., C. Huber, Y. Mu and W. Tao (2017), “Lattice Boltzmann simulation of condensation in the presence of noncondensable gas”, International Journal of Heat and Mass Transfer 109, 1004-1013.##
Li, N., W. Tang, X. Yu, H. Zhan, H. Ma, G. Ding and Y. Zhang (2020). Investigation of Moisture Dissipation of Water-foamed Asphalt and Its Influence on the Viscosity. Materials 13(23), 5325.##
Liu, F. M. and A. L. Wang (2018). Numerical Investigation on Physical Foaming and Decay Process Using Multicomponent Thermal Lattice Boltzmann Model. MATEC Web of conference 237, 02003.##
Liu, F. M., A. L. Wang and Z. S. Fu (2018). Multicomponent lattice Boltzmann model for simulation of phase change with heat transfer. The Canadian Journal of Chemical Engineering 96(9), 2035-2042.##
Liu, F. M., A. L. Wang, R. F. Qiu and T. Jiang (2016). Improved lattice Boltzmann model for multi-component diffusion flow with large pressure difference. International Journal of Modern Physics C 27(11), 1650130.##
Lu, S., J. Zhu, D. Gao, W. Chen and X. Li (2020). Lattice Boltzmann simulation for natural convection of supercritical CO2 in an inclined square cavity. International Journal of Numerical Methods for Heat and Fluid Flow 30(7), 3635-3652.##
Márkus, A. and G. Házi (2011). Simulation of evaporation by an extension of the pseudopotential lattice Boltzmann method: A quantitative analysis. Physical Review E 83(4), 046705.##
Martys, N. S. and H. Chen (1996). Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method. Physical Review E 53(1), 743.##
Petersen, K. J. and J. R. Brinkerhoff (2021). On the lattice Boltzmann method and its application to turbulent, multiphase flows of various fluids including cryogens: A review. Physics of Fluids 33(4), 041302.##
Qiu, R. F. and A. L. Wang (2016). Numerical investigation of two-component jet flow with heat transfer in a channel by lattice Boltzmann method. Computers & Fluids 138, 1-8.##
Sedahmed, M., R. C. V. Coelho and H. A. Warda (2022). An improved multicomponent pseudopotential lattice Boltzmann method for immiscible fluid displacement in porous media. Physics of Fluids 34(2), 023102.##
Shan, X. and H. Chen (1993). Lattice Boltzmann model for simulating flows with multiple phases and components. Physical Review E 47(3), 1815.##
Swift, M. R., E. Orlandini, W. R. Osborn and J. M. Yeomans (1996). Lattice Boltzmann simulations of liquid-gas and binary fluid systems. Physical Review E 54(5), 5041.##
Xing, Z. B., X. Han, H. Ke, Q. G. Zhang, Z. Zhang, H. Xu and F. Wang (2021). Multi-phase lattice Boltzmann (LB) simulation for convective transport of nanofluids in porous structures with phase interactions. International Journal of Numerical Methods for Heat & Fluid Flow 31(8), 2754-2788.##
Yuan, P. and L. Schaefer (2006). Equations of state in a lattice Boltzmann model. Physics of Fluids 18(4), 042101.##
Zhang, C., P. Cheng and W. J. Minkowycz (2017). Lattice Boltzmann simulation of forced condensation flow on a horizontal cold surface in the presence of a non-condensable gas. International Journal of Heat and Mass Transfer 115, 500-512.##
Zhang, Y., Y. Huang, M. Xu, Q. Wan, W. Li and Y. Tian (2020). Flow and heat transfer simulation in a wall-driven porous cavity with internal heat source by multiple-relaxation time lattice Boltzmann method (MRT-LBM). Applied Thermal Engineering 173, 115209.##
Zheng, S., F. Eimann, C. Philipp, T. Fieback and U. Gross (2019). Single droplet condensation in presence of non-condensable gas by a multi-component multi-phase thermal lattice Boltzmann model. International Journal of Heat and Mass Transfer 139, 254-268.##
Volume 15, Issue 4
July and August 2022
Pages 1125-1136
  • Received: 18 February 2022
  • Revised: 17 April 2022
  • Accepted: 18 April 2022
  • First Publish Date: 14 May 2022