NDLI: Lattice Boltzmann Simulation of Drops in a Shear Flow

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Takada, Naoki Tomiyama, Akio Hosokawa, Shigeo
Copyright Year	2003
Abstract	In this paper, we present simulation results of two- and three-dimensional motions of drops in a shear flow based on the lattice Boltzmann method (LBM), where a macroscopic fluid flow results from averaging collisions and propagations of mesoscopic particles. The binary fluid model in LBM used here can reproduce two-phase interface in a self-organizing way by repulsive interaction between particles consistent with the van der Waals-Cahn-Hilliard free energy theory. A finite difference scheme is applied to the lattice-Boltzmann equations governing time evolution of velocity distributions of particle number density. When a drop is suspended in an immiscible second liquid with the same mass and viscosity between moving parallel plates, the numerical results of deformation of drop agree with theoretical solutions and previous numerical results obtained by the volume-of-fluid (VOF) method. Breakup motions of drops in LBM are also reasonable in comparison with the critical Reynolds and capillary numbers predicted by the VOF method. In the simulations of two-drop interaction, it is shown that the breakup motion depends on not only number density of drops but also initial positioning of their volumetric center away from a halfway cross section between the plates.
Sponsorship	Fluids Engineering Division
Starting Page	495
Ending Page	500
Page Count	6
File Format	PDF
ISBN	0791836975
DOI	10.1115/FEDSM2003-45166
e-ISBN	0791836738
Volume Number	Volume 2: Symposia, Parts A, B, and C
Conference Proceedings	ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference
Language	English
Publisher Date	2003-07-06
Publisher Place	Honolulu, Hawaii, USA
Access Restriction	Subscribed
Subject Keyword	Viscosity Deformation Fluid dynamics Shear flow Lattice boltzmann methods Density Self-organization Fluids Collisions (physics) Simulation results Simulation Particulate matter Plates (structures) Mesoscopic systems
Content Type	Text
Resource Type	Article

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