TY - JOUR
T1 - An Asymptotic/Numerical Study for the Micropolar Fluid Asymmetric Flow in a Porous Channel with Orthogonally Moving Walls
AU - Hongxia Guo & Ping Lin
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 752
EP - 769
PY - 2018
DA - 2018/06
SN - 11
DO - http://doi.org/10.4208/nmtma.2018.s04
UR - https://global-sci.org/intro/article_detail/nmtma/12470.html
KW - 
AB - <p style="text-align: justify;">The two-dimensional, unsteady, viscous, incompressible and asymmetric flow
of a micropolar fluid in a uniformly porous channel with expanding or contracting walls
is investigated. We assume that the channel walls have different permeability and that
the flow is driven by uniformly suction at the lower and upper walls. The corresponding
governing equations of motion are reduced to nonlinear coupled ordinary difference
equations by a similarity transformation. For the most difficult high Reynolds number
case, we construct an asymptotic solution by the method of boundary layer correction.
There exist boundary layers near the both walls. Furthermore, this asymptotic results
can also be used to validate the numerical method over a range of Reynolds numbers.
Finally, the influence of Reynolds number $R$, asymmetric parameter $a$, expansion ratio $α$ and micropolar parameter $n$ on the flow is discussed numerically. The results show
that the streamwise and micro-rotation velocity are sensitive to the parameters.</p>