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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…

偏微分方程分析 · 数学 2025-12-18 María Anguiano , Francisco J. Suárez-Grau

We study the asymptotic behavior of micropolar fluid flows in a thin domain of thickness $\eta_\varepsilon$ with a periodic oscillating boundary with wavelength $\varepsilon$. We consider the limit when $\varepsilon$ tends to zero and,…

偏微分方程分析 · 数学 2025-12-19 Francisco J. Suárez-Grau

We study the flow of a micropolar fluid in a thin domain with microstructure, i.e. a thin domain with thickness $\varepsilon$ which is perforated by periodically distributed solid cylinders of size $a_\varepsilon$. A main feature of this…

偏微分方程分析 · 数学 2025-12-17 Francisco J. Suárez-Grau

Inspired by the lubrication framework, in this paper we consider a micropolar fluid flow through a rough thin domain, whose thickness is considered as the small parameter $\varepsilon$ while the roughness at the bottom is defined by a…

偏微分方程分析 · 数学 2025-12-22 Matthieu Bonnivard , Igor Pažanin , Francisco J. Suárez-Grau

The lubrication theory is mostly concerned with the behavior of a lubricant flowing through a narrow gap. Motivated by the experimental findings from the tribology literature, we take the lubricant to be micropolar fluid and study its…

偏微分方程分析 · 数学 2025-07-16 Matthieu Bonnivard , Igor Pazanin , Francisco Suarez-Grau

Walls in discrete element method simulations of granular flows are sometimes modeled as a closely packed monolayer of fixed particles, resulting in a rough wall rather than a geometrically smooth wall. An implicit assumption is that the…

软凝聚态物质 · 物理学 2016-01-20 Umberto D'Ortona , Nathalie Thomas , Zafir Zaman , Richard M. Lueptow

The flow of emulsions in confined microfluidic channels is affected by surface roughness. Directional roughness effects have recently been reported in channels with asymmetric boundary conditions featuring a flat wall, and a wall textured…

流体动力学 · 物理学 2024-04-17 Francesca Pelusi , Daniele Filippi , Ladislav Derzsi , Matteo Pierno , Mauro Sbragaglia

Motivated by lubrication problems, we consider a micropolar uid ow in a 2D domain with a rough and free boundary. We assume that the thickness and the roughness are both of order 0 < " << 1. We prove the existence and uniqueness of a…

偏微分方程分析 · 数学 2013-09-20 Mahdi Boukrouche , Laetitia Paoli

We analyze a non-isothermal Darcy-Brinkman thin-film flow with a periodically oscillating boundary and viscous dissipation acting as a heat source. Using asymptotic analysis and the periodic unfolding method, we establish the convergence of…

偏微分方程分析 · 数学 2026-04-08 María Anguiano , Igor Pažanin , Francisco J. Suárez-Grau

The shape of a microchannel cross-section is usually affected by a significant uncertainty due to the small hydraulic diameter. Such an uncertainty is indeed present at any scale, but is amplified in smaller scales, becoming significantly…

流体动力学 · 物理学 2024-06-26 L. A. Sphaier , A. Barletta , M. Celli , P. V. Brandao , S. Lazzari , E. Ghedini

Direct numerical simulations of turbulent channels with rough walls are conducted in the transitionally rough regime. The effect that roughness produces on the overlying turbulence is studied using a modified triple decomposition of the…

流体动力学 · 物理学 2020-07-21 Nabil Abderrahaman-Elena , Chris T. Fairhall , Ricardo García-Mayoral

In this article, we report the influence of the interfacial roughness on the thermal boundary conductance between two crystals, using molecular dynamics. We show evidence of a transition between two regimes, depending on the interfacial…

材料科学 · 物理学 2015-06-23 Samy Merabia , Konstantinos Termentzidis

Turbulence is omnipresent in Nature and technology, governing the transport of heat, mass, and momentum on multiple scales. For real-world applications of wall-bounded turbulence, the underlying surfaces are virtually always rough; yet…

In this paper, we extend the Darcy law for micropolar fluid flow in a thin porous medium. This provides a framework for understanding how a fluid's microstructural properties, the geometry of the porous medium and the thickness of the…

偏微分方程分析 · 数学 2025-08-07 María Anguiano , Francisco J. Suárez-Grau

By means of mesoscopic numerical simulations of a model soft-glassy material, we investigate the role of boundary roughness on the flow behaviour of the material, probing the bulk/wall and global/local rheologies. We show that the roughness…

软凝聚态物质 · 物理学 2016-08-24 Andrea Scagliarini , Matteo Lulli , Massimo Bernaschi , Mauro Sbragaglia

In this paper, we consider viscoelastic flows in a rough domain (with typical roughness patterns of size $\epsilon$ < 1). We present and rigorously justify an asymptotic expansion with respect to $\epsilon$, at any order, based upon the…

偏微分方程分析 · 数学 2015-03-12 Laurent Chupin , Sébastien Martin

Superhydrophobic surfaces dramatically reduce skin friction of overlying liquid flows. These surfaces are complex and numerical simulations usually rely on models for reducing this complexity. One of the simplest consists in finding an…

流体动力学 · 物理学 2022-08-03 Antoine Jouin , Stefania Cherubini , Jean-Christophe Robinet

Long, shallow microchannels embedded in thick soft materials are widely used in microfluidic devices for lab-on-a-chip applications. However, the bulging effect caused by fluid--structure interactions between the internal viscous flow and…

流体动力学 · 物理学 2019-12-03 Xiaojia Wang , Ivan C. Christov

We investigate rough-wall turbulent flows through direct numerical simulations of flow over three-dimensional transitionally rough sinusoidal surfaces. The roughness Reynolds number is fixed at $k^+=10$, where $k$ is the sinusoidal…

流体动力学 · 物理学 2020-12-09 M. MacDonald , L. Chan , D. Chung , N. Hutchins , A. Ooi

In this study, we performed highly resolved large-eddy simulations (LES) to investigate the influence of variable properties on the forced turbulent convection in a channel. The constant heat flux boundary condition permits wall temperature…

流体动力学 · 物理学 2023-01-11 Himani Garg , Lei Wang
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