Lattice Boltzmann Simulations of Single Bubble Deformation and Breakup in a Shear Flow

Abstract

Lattice Boltzmann method (LBM) is used to simulate the deformation and breakup of single bubble in a shear flow. Numerical simulations of single bubble deformation are qualitatively compared with experimental results in a shear flow. Respectively the rotation angle θ is quantitatively compared with experimental results according to different capillary numbers (Ca), which shows numerical simulations are in agreement with the experimental results and theoretical results. Finally, the breakup process of single bubble in a shear flow is simulated straightforwardly.

Deformation of Red Blood Cells, Air Bubbles, and Droplets in Microfluidic Devices: Flow Visualizations and Measurements

“…Anderl et al [ 80 ] developed a numerical method to predict the deformation of bubbles and were able to predict the results of Müller-Fischer et al [ 79 ]. Wei et al [ 81 ] have used the Lattice Boltzmann method to simulate the deformation of a bubble and were able to correctly predict the shape of the bubble under a simple shear flow.…”

Bubble morphological evolution and surface defect formation mechanism in the microcellular foam injection molding process

“…Compared to the abovementioned mold visualization method, the numerical simulation provides an effective method to study the morphological evolution of bubbles in MFIM, which is not restricted by the polymer material or mold shape and can simultaneously capture the bubble shape and track the entire process of bubble displacement. To date, several interface-tracking methods (e.g., level set method, 29,34 diffusioninterface model, 31 volume of uid method, 35,36 and lattice Boltzmann method 37 ) and discrete methods (nite element method, 29 nite volume method, 30,32 nite difference method, 32 and boundary integral method 30,33 ) can be used to describe the morphological evolution of the interface between two types of uid. With these numerical simulation methods, a wide variety of mathematical models have been established to simulate the deformation of a bubble 29,32,36,37 or droplet [30][31][32][33][34][35] in simple shear ow.…”

“…To date, several interface-tracking methods (e.g., level set method, 29,34 diffusioninterface model, 31 volume of uid method, 35,36 and lattice Boltzmann method 37 ) and discrete methods (nite element method, 29 nite volume method, 30,32 nite difference method, 32 and boundary integral method 30,33 ) can be used to describe the morphological evolution of the interface between two types of uid. With these numerical simulation methods, a wide variety of mathematical models have been established to simulate the deformation of a bubble 29,32,36,37 or droplet [30][31][32][33][34][35] in simple shear ow. Most of the simulation results [29][30][31]33,[35][36][37] are in agreement with the experimental observations.…”

“…With these numerical simulation methods, a wide variety of mathematical models have been established to simulate the deformation of a bubble 29,32,36,37 or droplet [30][31][32][33][34][35] in simple shear ow. Most of the simulation results [29][30][31]33,[35][36][37] are in agreement with the experimental observations. However, the actual melt ow eld in the injection molding process is not a simple shear ow eld, but a complex ow eld coupled by the nonlinear shear ow, fountain ow and complex 3D ow eld geometry.…”