2025/12/17 by Anguiano, María, Suárez-Grau, Francisco J. · 1 citation
Engineering · Computer Science · #Fluid Dynamics and Thin Films #Advanced Mathematical Modeling in Engineering #Nanofluid Flow and Heat Transfer
paper · doi:10.48550/arxiv.2512.15202
In this paper, we study the asymptotic behavior of the micropolar fluid flow through a thin domain assuming zero Dirichlet boundary condition on the top boundary, which is rapidly oscillating, and non-standard boundary conditions on the flat bottom. Assuming ``Reynolds roughness regime", in which the thickness of the domain is very small compared to the wavelenth of the roughness (i.e. a very slight roughness), we rigorously derive a generalized Reynolds equation for pressure clearly showing the roughness-induced effects. Moreover, we give expressions for the average velocity and microrotation.