Nonzero boundary condition for the unsteady micropolar pipe flow: Well-posedness and asymptotics

作者：

Highlights：

• The unsteady flow of a micropolar fluid through a thin pipe with the nonzero boundary condition for microrotation is considered.

• The well-posedness of the corresponding initial-boundary value problem governing the flow is proved.

• Using asymptotic analysis with respect to the pipes thickness, the higher-order approximation of the solution is constructed.

• A boundary-layer analysis and numerical example are also provided.

摘要

•The unsteady flow of a micropolar fluid through a thin pipe with the nonzero boundary condition for microrotation is considered.•The well-posedness of the corresponding initial-boundary value problem governing the flow is proved.•Using asymptotic analysis with respect to the pipes thickness, the higher-order approximation of the solution is constructed.•A boundary-layer analysis and numerical example are also provided.

论文关键词：Micropolar fluid,Unsteady flow,Nonzero boundary condition,Existence and uniqueness result,Asymptotic approximation

论文评审过程：Received 12 December 2021, Revised 11 April 2022, Accepted 13 April 2022, Available online 25 April 2022, Version of Record 25 April 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127184