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

Abstract

AbstractIn 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.