Roughness-induced effects on the thermomicropolar fluid flow through a thin domain

被引：2

作者：

Pazanin, Igor ^{[1
]}

Suarez-Grau, Francisco J. ^{[2
]}

机构：

[1] Univ Zagreb, Fac Sci, Dept Math, Zagreb, Croatia

[2] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, Seville, Spain

来源：

STUDIES IN APPLIED MATHEMATICS | 2023年 / 151卷 / 02期

关键词：

cooling condition; homogenization; rough boundary; thermomicropolar fluid; thin domain; ASYMPTOTIC-BEHAVIOR; MICROPOLAR FLUIDS; BOUNDARY; HEAT; SURFACE;

D O I：

10.1111/sapm.12611

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the asymptotic behavior of the thermomicropolar fluid flow through a thin channel with rough boundary. The flow is governed by the prescribed pressure drop between the channel's ends and the heat exchange through the rough wall is allowed. Depending on the limit of the ratio between channel's thickness and the wavelength of the roughness, we rigorously derive different asymptotic models clearly showing the roughness-induced effects on the average velocity and microrotation. To accomplish that, we employ the adaptation of the unfolding method to a thin-domain setting.

引用

页码：716 / 751

页数：36

共 36 条

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