Roughness-induced effects on the thermomicropolar fluid flow through a thin domain |
| |
Authors: | Igor Pa?anin Francisco J Suárez-Grau |
| |
Institution: | 1. Department of Mathematics, Faculty of Science, University of Zagreb, Zagreb, Croatia;2. Departamento de Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Universidad de Sevilla, Sevilla, Spain |
| |
Abstract: | 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. |
| |
Keywords: | cooling condition homogenization rough boundary thermomicropolar fluid thin domain |
|
|