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We investigate the slip boundary condition for single-phase flow past a chemically patterned surface. Molecular dynamics (MD) simulations show that modulation of fluid-solid interaction along a chemically patterned surface induces a lateral…

Soft Condensed Matter · Physics 2009-11-11 Tiezheng Qian , Xiao-Ping Wang , Ping Sheng

This paper concerns the dynamics of two layers of compressible, barotropic, viscous fluid lying atop one another. The lower fluid is bounded below by a rigid bottom, and the upper fluid is bounded above by a trivial fluid of constant…

Analysis of PDEs · Mathematics 2016-04-20 Juhi Jang , Ian Tice , Yanjin Wang

Laminar-turbulent transition on a rotating wind turbine blade at a chord Reynolds number of $1 \times 10^5$ and varying angles of attack ($AoA$) is studied with direct numerical simulations and linear stability theory. The rotation effects…

Fluid Dynamics · Physics 2023-08-01 Thales Coelho Leite Fava , Dan Henningson , Ardeshir Hanifi

We study the thermodynamic stability of fluid-fluid phase separation in binary nonadditive mixtures of hard-spheres for moderate size ratios. We are interested in elucidating the role played by small amounts of nonadditivity in determining…

Soft Condensed Matter · Physics 2011-10-25 G. Pellicane , F. Saija , C. Caccamo , P. V. Giaquinta

A qualitative explanation for the scaling of energy dissipation by high Reynolds number fluid flows in contact with solid obstacles is proposed in the light of recent mathematical and numerical results. Asymptotic analysis suggests that it…

Fluid Dynamics · Physics 2018-11-27 Romain Nguyen van yen , Mathias Waidmann , Rupert Klein , Marie Farge , Kai Schneider

We study the flow of an incompressible liquid film down a wavy incline. Applying a Galerkin method with only one ansatz function to the Navier-Stokes equations we derive a second order weighted residual integral boundary layer equation,…

Analysis of PDEs · Mathematics 2015-05-13 Tobias Häcker , Hannes Uecker

The quasi-neutral limit of the Navier-Stokes-Poisson system modeling a viscous plasma with vanishing viscosity coefficients in the half-space $\mathbb{R}^{3}_{+}$ is rigorously proved under a Navier-slip boundary condition for velocity and…

Analysis of PDEs · Mathematics 2022-07-19 Qiangchang Ju , Tao Luo , Xin Xu

Nanofluids; dispersions of nanometer-sized particles in a liquid medium; have been proposed for a wide variety of thermal management applications. It is known that a solid-like nanolayer of liquid of typical thickness 0.5-1 nm surrounding…

Soft Condensed Matter · Physics 2022-08-16 Reza Rabani , Mohammad Hassan Saidi , Laurent Joly , Samy Merabia , Ali Rajabpour

Three different porous substrates (with different pore sizes, s, and permeabilities, K) are used to examine their effect on the structure of boundary layer flow over them. The flow is characterised with single-point hot-wire measurements as…

Fluid Dynamics · Physics 2024-02-06 Prateek Jaiswal , Bharathram Ganapathisubramani

We establish the asymptotic stability of solutions to the inflow problem for the one-dimensional barotropic Navier--Stokes equations in half space. When the boundary value is located at the subsonic regime, all the possible thirteen…

Analysis of PDEs · Mathematics 2026-02-25 Sungho Han , Moon-Jin Kang , Jeongho Kim , Nayeon Kim , HyeonSeop Oh

While the rheology of non-Brownian suspensions in the dilute regime is well-understood, their behavior in the dense limit remains mystifying. As the packing fraction of particles increases, particle motion becomes more collective, leading…

Soft Condensed Matter · Physics 2015-06-03 Edan Lerner , Gustavo Düring , Matthieu Wyart

Observation of the Brownian motion of a small probe interacting with its environment is one of the main strategies to characterize soft matter. Essentially two counteracting forces govern the motion of the Brownian particle. First, the…

Soft Condensed Matter · Physics 2011-08-18 Thomas Franosch , Matthias Grimm , Maxim Belushkin , Flavio Mor , Giuseppe Foffi , László Forró , Sylvia Jeney

We present a numerical study of noncolloidal spherical and rigid particles suspended in Newtonian, shear thinning and shear thickening fluids employing an Immersed Boundary Method. We consider a linear Couette configuration to explore a…

Fluid Dynamics · Physics 2018-08-29 Dhiya Alghalibi , Iman Lashgari , Luca Brandt , Sarah Hormozi

Confinement of superfluid $^3$He on length scales comparable to the radial size of the p-wave Cooper pairs can greatly alter the phase diagram by stabilizing broken symmetry phases not observed in bulk $^3$He. We consider superfluid $^3$He…

Superconductivity · Physics 2015-11-09 J. J. Wiman , J. A. Sauls

We present a versatile setup for investigating the nanofluidic behavior of nanoparticles as a function of the gap distance between two confining surfaces. The setup is designed as an open system which operates with small amounts of…

Soft Condensed Matter · Physics 2017-01-17 Stefan Fringes , Felix Holzner , Armin W. Knoll

This fluid dynamics video submitted to the Gallery of Fluid motion shows a turbulent boundary layer developing under a 5 metre-long flat plate towed through water. A stationary imaging system provides a unique view of the developing…

Fluid Dynamics · Physics 2012-10-16 J. H. Lee , Y. S. Kwon , N. Hutchins , J. P. Monty

We study a thermodynamically consistent diffuse interface model that describes the motion of a two-phase flow of two viscous incompressible Newtonian fluids with unmatched densities and a soluble surfactant in a bounded domain of two or…

Analysis of PDEs · Mathematics 2026-01-13 Bohan Ouyang , Maurizio Grasselli , Hao Wu

In this paper, we construct growing modes of the linearized Navier-Stokes equations about generic stationary shear flows of the boundary layer type in a regime of sufficiently large Reynolds number: $R \to \infty$. Notably, the shear…

Analysis of PDEs · Mathematics 2017-02-22 Emmanuel Grenier , Yan Guo , Toan T. Nguyen

This study seeks to characterise the breakdown of the steady 2D solution in the flow around a 180-degree sharp bend to infinitesimal 3D disturbances using a linear stability analysis. The stability analysis predicts that 3D transition is…

Fluid Dynamics · Physics 2017-08-30 Azan M. Sapardi , Wisam K. Hussam Alban Pothérat , Gregory J. Sheard

In this paper, we investigate the instability of the trivial steady states to the incompressible viscous fluid with Navier-slip boundary conditions. For the linear instability, the existence of infinitely many normal mode solutions to the…

Analysis of PDEs · Mathematics 2026-01-01 Tien-Tai Nguyen