期刊
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
卷 74, 期 6, 页码 -出版社
SPRINGER INT PUBL AG
DOI: 10.1007/s00033-023-02105-7
关键词
Non-Newtonian fluid; Non-isothermal flow; Thin domain; Periodic rugosities; Unfolding method
This paper investigates the flow of a non-Newtonian fluid through a thin three-dimensional domain with an oscillating boundary. By rigorously deriving three different effective models based on the period of the boundary roughness, the study reveals the roughness-induced effects on the fluid flow.
In this paper, we study the flow of a non-Newtonian fluid through a thin three-dimensional domain with an oscillating boundary. Starting from a nonlinear coupled system describing a non-isothermal regime of the flow, we rigorously derive three different effective models, depending on the period of the boundary roughness. We employ a homogenization technique based on the adaption of the unfolding method and deduce the roughness-induced effects on the fluid flow.
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