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Updated: Jan 31, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Numerical investigation of bubbles coalescence in a shear flow with diffuse-interface model
Abdullah Shah1,2, Sadia Saeed1, Saher Akmal Khan1
1Department of Mathematics, COMSATS University Islamabad, Park Road, Islamabad-45550, Pakistan.
This study uses a diffuse-interface model to simulate bubble collisions in shear flow. Lowering surface tension below a critical value prevents bubble coalescence, impacting two-phase flow dynamics.
Area of Science:
- Fluid Dynamics
- Computational Physics
- Multiphase Flow
Background:
- Simulating bubble dynamics in shear flow presents numerical challenges.
- Tracking moving interfaces in two-phase flow requires robust models.
Purpose of the Study:
- To apply the diffuse-interface model for analyzing bubble collision and coalescence.
- To investigate the influence of surface tension on bubble behavior in linear shear flow.
Main Methods:
- Utilizing the diffuse-interface model developed by Shah and Yuan (2011).
- Implementing an artificial compressibility-based numerical scheme.
- Solving coupled nonlinear partial differential equations for mass, momentum, and phase transport.
Main Results:
- Identified a critical surface tension coefficient for bubble coalescence.
- Demonstrated that reducing surface tension below this critical value inhibits coalescence.
- Observed distinct effects of surface tension on bubble separation and merging.
Conclusions:
- The diffuse-interface model effectively handles numerical complexities in multiphase flow simulations.
- Surface tension plays a crucial role in determining bubble coalescence outcomes in shear flows.
- Controlling surface tension offers a method to manage bubble interactions.
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