Shah Abdullah, Saeed Sadia, Khan Saher Akmal
Department of Mathematics, COMSATS University Islamabad, Park Road, Islamabad-45550, Pakistan.
LSEC and Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics & Systems Science, Chinese Academy of Sciences, Beijing 100190, PR China.
Heliyon. 2018 Dec 8;4(12):e01024. doi: 10.1016/j.heliyon.2018.e01024. eCollection 2018 Dec.
In this article, we apply the diffuse-interface model [developed by Shah and Yuan (2011) [21]] for collision and coalescence of two bubbles in a linear shear flow. The governing equations consist of a system of coupled nonlinear partial differential equations for conservation of mass, momentum and phase transport. In the two-phase flow, the diffuse-interface model relaxes certain numerical difficulties for tracking the moving interface. An artificial compressibility based numerical scheme is implemented to study the effects of surface tension on bubbles coalescence and separation. We found the critical value of the surface tension coefficient and observed that lowering the surface tension coefficient from the critical value prevent bubbles to coalesce.
在本文中，我们应用了由沙阿和袁（2011年）[21]开发的扩散界面模型来研究线性剪切流中两个气泡的碰撞和聚并。控制方程由一组耦合的非线性偏微分方程组成，用于质量守恒、动量守恒和相输运。在两相流中，扩散界面模型缓解了跟踪移动界面时的某些数值困难。采用基于人工可压缩性的数值格式来研究表面张力对气泡聚并和分离的影响。我们找到了表面张力系数的临界值，并观察到从临界值降低表面张力系数会阻止气泡聚并。
