@Article{AAMM-16-519,
author = {Sharifi , RahelehVarmazyar , Mostafa and Mohammadi , Arash},
title = {Investigating Droplet and Bubble Deformation under Shear Flow Using the Multi-Pseudo-Potential Scheme of Lattice Boltzmann Method},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {16},
number = {2},
pages = {519--548},
abstract = {<p style="text-align: justify;">In the present study, a multi-pseudo-potential model is used to simulate
the deformation and breakup of bubbles and droplets under simple shear flow. It is
shown that the current model can adjust the amount of surface tension, independent of
the interface thickness, equation of state (EOS), and reduced temperature. Considering
the available findings, no comprehensive study has been performed on all aspects of
deformation of bubbles and droplets under shear flow using numerical methods. Bubble or droplet deformation under simple shear flow depends on two non-dimensional
numbers: capillary number (Ca) and viscosity ratio $(λ).$ In this investigation, various
scenarios, including small deformation, large deformation, and breakup for bubbles $(0.2 &lt; λ &lt; 1)$ and droplets $(1 &lt; λ &lt; 5),$ are separately studied. Results of the multi-pseudo-potential model show that the bubble and droplet deformations oscillate under shear flow and undergo elongation and contraction over time to converge to the
final shape. As the capillary increases by more than one, the bubble expands and
shrinks. The bubble tips become sharp, and so-called slender, at a low viscosity ratio $(λ).$ A detailed comparison is made between the numerical results for deformation parameters of the present model and the experimental results available in the references.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2021-0326},
url = {http://global-sci.org/intro/article_detail/aamm/22342.html}
}