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The low Mach number limit for one-dimensional non-isentropic compressible Navier-Stokes system without viscosity is investigated, where the density and temperature have different asymptotic states at far fields. It is proved that the…

Analysis of PDEs · Mathematics 2017-05-23 Yechi Liu

A widely used method to measure the bending rigidity of bilayer membranes is fluctuation spectroscopy, which analyses the thermally-driven membrane undulations of giant unilamellar vesicles recorded with either phase-contrast or confocal…

Biological Physics · Physics 2020-09-21 Hammad A. Faizi , Cody J. Reeves , Vasil N. Georgiev , Petia M. Vlahovska , Rumiana Dimova

The influence of viscosity on the flow behaviour in spherically symmetric accretion, has been studied here. The governing equation chosen has been the Navier-Stokes equation. It has been found that at least for the transonic solution,…

Astrophysics · Physics 2009-11-10 Arnab K. Ray

The low frequency vibrational spectra of hydrated porous silica are specifically sensitive to the hydrogen bond interactions and provides a wealth of information on the structural and dynamical properties of the water contained in the pores…

Soft Condensed Matter · Physics 2017-02-08 Andrea Taschin , Paolo Bartolini , Agnese Marcelli , Roberto Righini , Renato Torre

We study the behavior of the pulse waves of water into a flexible tube for application to blood flow simulations. In pulse waves both fluid friction and wall viscosity are damping factors, and difficult to evaluate separately. In this…

The temperature dependence of the dynamics of water inside microporous activated carbon fibers (ACF) is investigated by means of incoherent elastic and quasi- elastic neutron scattering techniques. The aim is to evaluate the effect of…

Soft Condensed Matter · Physics 2015-07-22 S. O. Diallo

The Navier-Stokes equation describes the deterministic evolution of incompressible fluids. The effects of random initial conditions on solutions of this equation are studied. It is shown that there is an infrared stable fixed point…

Condensed Matter · Physics 2007-05-23 Vipul Periwal

Diffusion of tracer dye molecules in water confined to nanoscale is an important subject with a direct bearing on many technological applications. It is not yet clear however, if the dynamics of water in hydrophilic as well as hydrophobic…

Soft Condensed Matter · Physics 2022-01-19 Shivprasad Patil , V. J. Ajith

We derive a novel thermodynamically consistent Navier--Stokes--Cahn--Hilliard system with dynamic boundary conditions. This model describes the motion of viscous incompressible binary fluids with different densities. In contrast to previous…

Analysis of PDEs · Mathematics 2023-10-25 Andrea Giorgini , Patrik Knopf

We derive and analyze a new diffuse interface model for incompressible, viscous fluid mixtures with bulk-surface interaction. Our system consists of a Navier--Stokes--Cahn--Hilliard model in the bulk that is coupled to a surface…

Analysis of PDEs · Mathematics 2025-09-16 Patrik Knopf , Jonas Stange

In view of the vital role of water in chemical and physical processes, an exact knowledge of its dielectric function over a large frequency range is important. In this article we report on currently available measurements of the dielectric…

We introduce a novel artificial compressibility technique to approximate the incompressible Navier-Stokes equations with variable fluid properties such as density and dynamical viscosity. The proposed scheme used the couple pressure and…

Numerical Analysis · Mathematics 2025-04-22 Cappanera Loic , Giordano Salvatore

We report an ab initio molecular dynamics study of fluid mercury at temperature 1750 K in the range of densities 7-13.5 g/cm$^3$. Along this isothermal line we performed an analysis of total charge fluctuations, which make evidence of…

Disordered Systems and Neural Networks · Physics 2025-06-26 T. Bryk , O. Bakai , A. P. Seitsonen

In this work, we ask and answer the question: when is the viscosity of a fluid uniquely determined from spatially sparse measurements of its velocity field? We pose the question mathematically as an optimization problem using the…

Analysis of PDEs · Mathematics 2023-02-23 Animikh Biswas , Joshua Hudson

We estimate bulk and shear viscosity at finite temperature and baryon densities of hadronic matter within hadron resonance gas model. For bulk viscosity we use low energy theorems of QCD for the energy momentum tensor correlators. For shear…

High Energy Physics - Phenomenology · Physics 2015-05-20 Guru Prakash Kadam , Hiranmaya Mishra

Brenner has recently proposed modifications to the Navier-Stokes equations that are based on theoretical arguments but supported only by experiments having a fairly limited range. These modifications relate to a diffusion of fluid volume…

Fluid Dynamics · Physics 2009-11-13 Christopher J. Greenshields , Jason M. Reese

We study a hydrodynamic limit of a system of coupled kinetic and fluid equations under a strong local alignment force and a strong Brownian motion. More precisely, we consider the Vlasov-Fokker-Planck type equation and compressible…

Analysis of PDEs · Mathematics 2019-01-07 Young-Pil Choi , Jinwook Jung

We report experimental observations of the volume acoustic modes of air bubbles in water, including both the fundamental Minnaert breathing mode and a family of higher-order modes extending into the megahertz frequency range. Bubbles were…

Fluid Dynamics · Physics 2024-05-03 K. G. Scheuer , F. B. Romero , R. G. DeCorby

Dynamical response of nanomechanical cantilever structures immersed in a viscous fluid is important to in vitro single-molecule force spectroscopy, biomolecular recognition of disease-specific proteins, and the detection of microscopic…

Other Condensed Matter · Physics 2009-11-11 Jerome Dorignac , Agnieszka Kalinowski , Shyamsunder Erramilli , Pritiraj Mohanty

This study proposes a level set-based topology optimization method for designing acoustic structures with viscous and thermal boundary layers in perspective. Acoustic waves propagating in a narrow channel are damped by viscous and thermal…

Computational Engineering, Finance, and Science · Computer Science 2022-03-31 Yuki Noguchi , Takayuki Yamada
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