A numerical study of multiple solutions for laminar flows in a porous and moving channel

Fen Wang, Ping Lin (Lead / Corresponding author), Lin Li, Yongyue Jiang

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)74-91
Number of pages18
JournalNumerical Mathematics
Volume11
Issue number1
DOIs
Publication statusPublished - Feb 2018

Keywords

  • Bvp4c
  • Finite element method
  • Micropolar fluid
  • Multiple solutions
  • Newtonian fluid

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