Investigating the effects of viscosity and density ratio on the numerical analysis of Rayleigh-Taylor instability in two-phase flow using Lattice Boltzmann method: From early stage to equilibrium state

Jalaali B., Nasution M.R.E., Yuana K.A., Deendarlianto, Dinaryanto O.

Department of Mechanical Engineering, Faculty of Aerospace Technology, Institut Teknologi Dirgantara Adisutjipto, Blok R Lanud AdisutjiptoYogyakarta 55198, Indonesia; Department of Aerospace Engineering, Faculty of Aerospace Technology, Institut Teknologi Dirgantara Adisutjipto, Blok R Lanud AdisutjiptoYogyakarta 55198, Indonesia; Department of Informatics, Faculty of Computer Science, Universitas Amikom Yogyakarta Jl Ringroad UtaraYogyakarta 55281, Indonesia; Department of Mechanical and Industrial Engineering, Faculty of Engineering, Universitas Gadjah Mada, Jalan Grafika 2Yogyakarta 55281, Indonesia; Center for Energy Studies, Universitas Gadjah Mada, Sekip K-1A Kampus UGMYogyakarta 55281, Indonesia


The gravitational liquid-liquid two-phase flow was numerically investigated by using lattice Boltzmann method (LBM). The method was implemented for analyzing a model of Rayleigh-Taylor Instability (RTI). The feasibility of this present numerical approach was investigated by performing convergence test, and validating the obtained results with those obtained from experiments as well as other preceding numerical methods. Qualitative and quantitative comparisons were examined, whereby good agreements are noted for all cases. Parametric studies were also conducted by varying both of Reynolds and Atwood numbers to investigate the effects of viscosity and density ratio on the behavior of fluids interaction. Based on the obtained outcomes of this numerical approach, the present LBM was able to successfully simulate the complete phenomena during RTI, i.e.: the linear growth, secondary instability, bubble rising and coalescence, and liquid break-up, including turbulent mixing conditions as well as the equilibrium state. The finding obtained from this work might be beneficial in the investigation of parametric behavior in design of processes equipment such as for separator design. © 2021 Elsevier Inc.

Density ratio; Lattice-Boltzmann method; Liquid-liquid two-phase flow; Rayleigh-Taylor instability; Viscosity


Applied Mathematics and Computation

Publisher: Elsevier Inc.

Volume 411, Issue , Art No 126490, Page – , Page Count

Journal Link:

doi: 10.1016/j.amc.2021.126490

Issn: 00963003



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