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

TL;DR

This paper investigates how surface roughness affects thermomicropolar fluid flow in thin channels, deriving asymptotic models that reveal the impact of roughness on flow velocity and microrotation using advanced mathematical techniques.

Contribution

It introduces a rigorous asymptotic analysis of thermomicropolar flow in rough thin domains, adapting the unfolding method for this setting.

Findings

Different asymptotic models depending on roughness wavelength

Roughness significantly influences average velocity and microrotation

Mathematical framework for analyzing roughness effects in thin channels

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.