The Rise of Bubbles in a Vertical Shear Flow

1997 ◽  
Vol 119 (2) ◽  
pp. 443-449 ◽  
Author(s):  
E. A. Ervin ◽  
G. Tryggvason

Full numerical simulations of two- and three-dimensional bubbles in a shear flow, by a finite difference front tracking method, are presented. The effects of inertial, viscous, gravitational, and surface forces on the lift of a deformable bubble rising due to buoyancy in a vertical shear flow, are examined. Bubbles with a large surface tension coefficient migrate toward the downward moving fluid, as predicted analytically for a cylinder or a sphere in a shear flow. Bubbles with smaller surface tension deform, and generally migrate in the opposite direction. The combined effects of the shear flow and the buoyancy deform the bubble in such a way that the circulation around the deformed bubbles is opposite to that of undeformed bubbles.

Author(s):  
Vijay Pappu ◽  
Prosenjit Bagchi

Three-dimensional computational modeling and simulation using front tracking method are presented on the motion of a deformable cell over an adhesive surface in a shear flow. The numerical method couples a Navier-Stokes flow solver with cell membrane mechanics, and a Monte Carlo simulation to capture stochastic formation and breakage of receptor/ligand bonds. The entire range of events during cell adhesion, namely, initial arrest of a free-flowing cell, slow rolling of an adherent cell, and detachment off the surface is simulated. Simulations are conducted to signify the role of hydrodynamic lift force that exists for a deformable particle in a wall-bounded flow. Three sets of numerical experiments are presented. In the first set, we consider the initial arrest of the cell, and show that the time needed for the cell to arrest increases with increasing Ca, but rapidly drops and saturates for higher bond strength. In the second set, we consider quasi-steady rolling motion of the cell, and predict the experimentally observed “stop and go” motion of the rolling leukocytes which is characterized by intermittent pauses and sudden jumps in cell velocity. In the third set we consider the detachment of the cell from the surface upon breakage of bonds. The bond strength needed to prevent the detachment of an adherent cell is computed and shown to be maximum for an intermediate Ca.


2018 ◽  
Vol 172 ◽  
pp. 181-195 ◽  
Author(s):  
Xinglong Shang ◽  
Zhengyuan Luo ◽  
Elizaveta Ya. Gatapova ◽  
Oleg A. Kabov ◽  
Bofeng Bai

2012 ◽  
Vol 21 (12) ◽  
pp. 124703 ◽  
Author(s):  
Hai-Qiong Xie ◽  
Zhong Zeng ◽  
Liang-Qi Zhang ◽  
Gong-You Liang ◽  
Hiroshi Mizuseki ◽  
...  

Author(s):  
Syed Sharif ◽  
Mark Ho ◽  
Victoria Timchenko ◽  
Guan Yeoh

Abstract In this paper, the growth of a rising vapour bubble in superheated water was numerically studied using an advanced interface tracking method, called the InterSection Marker (ISM) method. The ISM method is a hybrid Lagrangian-Eulerian Front Tracking algorithm that can model an arbitrary Three-Dimensional (3D) surface within an array of cubic control-volumes. The ISM method has cell-by-cell remeshing capability that is volume conservative, maintains surface continuity and is suited for tracking interface deformation in multiphase flow simulations. This method was previously used in adiabatic bubble rise simulation with no heat and mass transfers to or from the bubble were considered. This present work will extend the ISM method's application to simulate vapour bubble growth in superheated water with the inclusion of additional physics, such as the convective heat transfer mechanism and the phase change. Coupled with an in-house variable-density and variable-viscosity single-fluid flow solver, the method was used to simulate vapour bubble growth due to the convective action. The forces such as the surface tension and the buoyancy were included in the momentum equation. The source terms for the mass transfer were also modelled in the CFD governing equations to simulate the growth. Bubble properties such as size, shape, velocity, drag coefficient, and convective heat transfer coefficient were predicted. Effects of surface tension and temperature on the bubble characteristic were also discussed. Obtained numerical results were compared against the analytical and past works and found to be in good agreement.


Author(s):  
R. Murthy Kalluri ◽  
Sai K. Doddi ◽  
Prosenjit Bagchi

Three-dimensional numerical simulations using front-tracking method are presented on the hydrodynamic interaction between two deformable particles suspended in simple shear flow. Particles are modeled as liquid capsules, that is, liquid drops surrounded by elastic membranes. Small and finite inertia are considered. Two sets of simulations are presented. In the first set, interaction between two identical capsules are considered. In the limit of zero inertia, it has been known from past research that the hydrodynamic interaction between two deformable particles results in an irreversible shift in the trajectories of the particles as one particle rolls over the other. We show that the presence of inertia can significantly alter the capsule trajectories, and the capsules engage in a symmetric spiraling motions. In the second set of simulations, we consider the interaction between two non-identical capsules which differ from each other in terms of capillary number. The interaction between them results in greater lateral separation as compared to that of an identical pair. This result suggests that the shear-induced diffusion mechanism may play an even greater role in mixing in suspension of bidisperse particles. The long-time trajectory of the non-identical capsules at finite Re shows that they move in spirals with different radii while translating along the streamwise direction. The more deformable capsule moves with smaller radius, and vice versa.


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