@Article{CiCP-37-3,
author = {Rocca, Michele, La and Montessori, Andrea and Prestininzi, Pietro},
title = {Three Dimensional Dynamics of Polar Fluids: A Lattice Boltzmann Approach},
journal = {Communications in Computational Physics},
year = {2025},
volume = {37},
number = {3},
pages = {623--642},
abstract = {<p style="text-align: justify;">In this paper we propose a Lattice-Boltzmann-based mesoscopic model for
the three-dimensional flow of an incompressible polar fluid.<br/>The mesoscopic model is equivalent to the usual incompressible three-dimensional
Navier-Stokes equation coupled with the angular momentum equation, which describes the evolution of the angular velocity vector of the fluid particles.<br/>The proposed model is applied to investigate the effects of the fluid polar structure
on three steady flows: the steady Couette and Poiseuille flows in a square channel and
the three-dimensional lid-driven cavity flow at $Re=100,$ $Re=400.$<br/>The effects of the fluid polar structure on the above mentioned flows are investigated by varying the relevant dimensionless parameters: the coupling parameter $N$ and the geometric parameter $L.$<br/>Results are consistent with the predictions of the theory of polar fluids. In particular, it is shown for the three-dimensional lid-driven cavity flow that the effect of the
coupling parameter $N$ is to lower the effective Reynolds number and thus to increase
the viscosity.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2024-0216},
url = {https://global-sci.com/article/91726/three-dimensional-dynamics-of-polar-fluids-a-lattice-boltzmann-approach}
}