TY - JOUR
T1 - A numerical study of multiple solutions for laminar flows in a porous and moving channel
AU - Wang, Fen
AU - Lin, Ping
AU - Li, Lin
AU - Jiang, Yongyue
PY - 2018/2
Y1 - 2018/2
N2 - In this paper, based on the finite element formulation, we focus on multiple solutions and their evolution with time for a laminar flow in a permeable channel with expanding or contracting walls. Both Newtonian fluid and micropolar fluid are considered. For the Newtonian fluid model, we find that the profile of the unique solution in the case of injection remains the same for long time, which indicates that the solution may be stable. On the other hand, in the case of large suction, the profile of multiple solutions changes in time, which suggests that the multiple solutions may be unstable. Similar behaviors and conclusions are observed for the micropolar fluid model under different boundary parameters.
AB - In this paper, based on the finite element formulation, we focus on multiple solutions and their evolution with time for a laminar flow in a permeable channel with expanding or contracting walls. Both Newtonian fluid and micropolar fluid are considered. For the Newtonian fluid model, we find that the profile of the unique solution in the case of injection remains the same for long time, which indicates that the solution may be stable. On the other hand, in the case of large suction, the profile of multiple solutions changes in time, which suggests that the multiple solutions may be unstable. Similar behaviors and conclusions are observed for the micropolar fluid model under different boundary parameters.
KW - Bvp4c
KW - Finite element method
KW - Micropolar fluid
KW - Multiple solutions
KW - Newtonian fluid
UR - http://www.scopus.com/inward/record.url?scp=85072066772&partnerID=8YFLogxK
U2 - 10.4208/nmtma.2018.m1604
DO - 10.4208/nmtma.2018.m1604
M3 - Article
AN - SCOPUS:85072066772
VL - 11
SP - 74
EP - 91
JO - Numerical Mathematics: Theory, Methods and Applications
JF - Numerical Mathematics: Theory, Methods and Applications
SN - 1004-8979
IS - 1
ER -