@Article{CiCP-38-1173,
author = {Chen , XinmengChai , ZhenhuaZhao , Yong and Shi , Baochang},
title = {Numerical Simulation of Power-Law Fluid Flow in a Trapezoidal Cavity Using the Incompressible Finite-Difference Lattice Boltzmann Method},
journal = {Communications in Computational Physics},
year = {2025},
volume = {38},
number = {4},
pages = {1173--1209},
abstract = {<p style="text-align: justify;">In this paper, a numerical investigation of power-law fluid flow in the trapezoidal cavity has been conducted by incompressible finite-difference lattice Boltzmann
method (IFDLBM). By designing the equilibrium distribution function, the Navier-Stokes equations (NSEs) can be recovered exactly. Through the coordinate transformation method, the body-fitted grid in physical region is transformed into a uniform grid
in computational region. The effect of Reynolds $(Re)$ number, the power-law index $n$ and the vertical angle $θ$ on the trapezoidal cavity are investigated. According to the
numerical results, we come to some conclusions. For low $Re$ number $Re =100,$ it can
be found that the behavior of power-law fluid flow becomes more complicated with
the increase of $n.$ And as vertical angle $θ$ decreases, the flow becomes smooth and the
number of vortices decreases. For high $Re$ numbers, the flow development becomes
more complex, the number and strength of vortices increase. If the Reynolds number
increases further, the power-law fluid will changes from steady flow to periodic flow
and then to turbulent flow. For the steady flow, the lager the $θ,$ the more complicated
the vortices. And the critical $Re$ number from steady to periodic state decreases with
the decrease of power-law index $n.$</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2022-0302},
url = {http://global-sci.org/intro/article_detail/cicp/24356.html}
}