Three Dimensional Dynamics of Polar Fluids: A Lattice Boltzmann Approach
Year: 2025
Author: Michele La Rocca, Andrea Montessori, Pietro Prestininzi
Communications in Computational Physics, Vol. 37 (2025), Iss. 3 : pp. 623–642
Abstract
In this paper we propose a Lattice-Boltzmann-based mesoscopic model for
the three-dimensional flow of an incompressible polar fluid.
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.
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.
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.
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2024-0216
Communications in Computational Physics, Vol. 37 (2025), Iss. 3 : pp. 623–642
Published online: 2025-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Computational fluid dynamics lattice Boltzmann method polar fluids.
Author Details
Michele La Rocca Email
Andrea Montessori Email
Pietro Prestininzi Email