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We employ a resolvent-based methodology to estimate velocity and pressure fluctuations within turbulent channel flows at friction Reynolds numbers of approximately 180, 550 and 1000 using measurements of shear stress and pressure at the…

Fluid Dynamics · Physics 2021-10-04 Filipe R. Amaral , André V. G. Cavalieri , Eduardo Martini , Peter Jordan , Aaron Towne

Critical wetting transitions under nonequilibrium conditions are studied numerically and analytically by means of an interface-displacement model defined by a Kardar-Parisi-Zhang equation, plus some extra terms representing a limiting,…

Statistical Mechanics · Physics 2009-11-13 Elvira Romera , Francisco de los Santos , Omar Al Hammal , Miguel A. Munoz

We introduce a diffuse interface model describing the evolution of a mixture of two different viscous incompressible fluids of equal density. The main novelty of the present contribution consists in the fact that the effects of temperature…

Analysis of PDEs · Mathematics 2014-01-15 Michela Eleuteri , Elisabetta Rocca , Giulio Schimperna

It is known from both experiments and molecular dynamics simulations that chemically patterning a solid surface has an effect on the flow of an adjacent liquid. This fact is in stark contrast with predictions of classical fluid mechanics…

Fluid Dynamics · Physics 2012-02-17 J. E. Sprittles , Y. D. Shikhmurzaev

We investigate the steady self-propelled motion of a rigid body immersed in a three-dimensional incompressible viscous fluid governed by the Navier-Stokes equations. The analysis is performed in a body-fixed reference frame, so that the…

Analysis of PDEs · Mathematics 2026-01-01 Sarka Necasova , Arnab Roy , Ana Leonor Silvestre

Periodic and symmetric two-dimensional textures with various cross-sectional profiles have been employed to improve and optimize the physical response of the surfaces such as drag force, superhydrophobicity, and adhesion. While the effect…

Fluid Dynamics · Physics 2022-06-30 Shabnam Raayai-Ardakani

The paper develops a method for the numerical simulation of a free-surface flow of incompressible viscous fluid around a streamlined body. The body is a rigid stationary construction partially submerged in the fluid. The application we are…

For a model of a 3D coating composed of a bi-periodic system of parallel riblets with gaps we analytically derive an approximate formula for the effective slip length (an offset from the flat surface at which the flow velocity would…

Fluid Dynamics · Physics 2023-10-18 Alexei T. Skvortsov , Denis S. Grebenkov , Leon Chan , Andrew Ooi

This work demonstrates a computational framework for simulating vaporizing, liquid-gas flows. It is developed for the general vaporization problem which solves the vaporization rate based as from the local thermodynamic equilibrium of the…

Computational Physics · Physics 2023-07-21 John Palmore , Olivier Desjardins

The effective surface dilatational viscosity is calculated of a flat interface separating two immiscible fluids laden with half-immersed monodisperse rigid spherical non-Brownian particles in the limit of high particle concentration. The…

Soft Condensed Matter · Physics 2014-11-19 S. V. Lishchuk

Continuum fluid dynamic models based on the Navier-Stokes equations have previously been used to simulate granular media undergoing fluid-like shearing. These models, however, typically fail to predict the flow behaviour in confined…

Fluid Dynamics · Physics 2024-03-05 Duncan Dockar , M. H. Lakshminarayana Reddy , Matthew K. Borg , S. Kokou Dadzie

We use a method based on the lubrication approximation in conjunction with a residual-based mass-continuity iterative solution scheme to compute the flow rate and pressure field in distensible converging-diverging tubes for Navier-Stokes…

Fluid Dynamics · Physics 2015-04-30 Taha Sochi

Numerical and experimental studies have demonstrated the drag-reducing potential of carefully designed streamwise-elongated riblets in lowering skin-friction drag. To support the systematic design of such surface corrugations, recent…

Fluid Dynamics · Physics 2025-06-10 Mohammadamin Naseri , Armin Zare

A new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics. The model fulfills local and global dissipation inequalities and is…

Fluid Dynamics · Physics 2011-04-08 H. Abels , H. Garcke , G. Grün

We analyze the role of boundary geometry in viscous electronic hydrodynamics. We address the twin questions of how boundary geometry impacts flow profiles, and how one can engineer boundary conditions -- in particular the effective slip…

Mesoscale and Nanoscale Physics · Physics 2019-11-11 Roderich Moessner , Nicolás Morales--Durán , Piotr Surówka , Piotr Witkowski

We propose a two-dimensional flow model of a viscous fluid between two close moving surfaces. We show that its asymptotic behavior, when the distance between the two surfaces tends to zero, is the same as that of the the Navier-Stokes…

Analysis of PDEs · Mathematics 2022-06-09 José M. Rodríguez , Raquel Taboada-Vázquez

The present article proposes a diffuse interface model for compressible multicomponent flows with transport phenomena of mass, momentum and energy (i.e., mass diffusion, viscous dissipation and heat conduction). The model is reduced from…

Analysis of PDEs · Mathematics 2022-10-26 Chao Zhang , Lifeng Wang

Hydrodynamic instability of a gravity-driven flow down an inclined plane is investigated in the presence of a floating elastic plate which rests on the top surface of the flow. Linear instability of the system with respect to infinitesimal…

Fluid Dynamics · Physics 2020-03-17 Siluvai Antony Selvan , Sukhendu Ghosh , Harekrushna Behera , Michael H. Meylan

We develop a computational model to simulate the immediate post-impact spreading behaviour of surfactant-laden drops that impact a flat and solid surface. The model is built on the InterFoam solver (OpenFOAM software), which uses the…

Modern theories of the hydrophobic effect highlight its dependence on length scale, emphasizing in particular the importance of interfaces that emerge in the vicinity of sizable hydrophobes. We recently showed that a faithful treatment of…

Statistical Mechanics · Physics 2016-06-06 Suriyanarayanan Vaikuntanathan , Grant M Rotskoff , Alexander Hudson , Phillip Geissler
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