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Viscous flow past a finite plate which is impulsively started in direction normal to itself is studied numerically using a high order mixed finite difference and semi-Lagrangian scheme. The goal is to resolve details of the vorticity…

Fluid Dynamics · Physics 2014-01-16 Ling Xu , Monika Nitsche

An experimental study was conducted in the CICLoPE long-pipe facility to investigate the correlation between wall-pressure and turbulent velocity fluctuations in the logarithmic region, at high friction Reynolds numbers ($4\,794 \lesssim…

We propose an improved viscosity model accounting for experiments of emulsions of two immiscible liquids at arbitrary volume fractions and low shear rates. The model is based on a recursive-differential method formulated in terms of the…

Soft Condensed Matter · Physics 2009-04-01 Carlos I. Mendoza , I. Santamaria-Holek

The viscoelasticity of two-dimensional liquids is quantified in an experiment using a dusty plasma. An experimental method is demonstrated for measuring the wavenumber-dependent viscosity, $\eta(k)$, which is a quantitative indicator of…

Soft Condensed Matter · Physics 2010-09-09 Yan Feng , J. Goree , Bin Liu

The fluctuations of turbulence intensity in a pipe flow around the critical Reynolds number is difficult to study but important because they are related to turbulent-laminar transitions. We here propose a rare-event sampling method to study…

Fluid Dynamics · Physics 2018-02-08 Takahiro Nemoto , Alexandros Alexakis

The coalescence of two liquid drops surrounded by a viscous gas is considered in the framework of the conventional model. The problem is solved numerically with particular attention to resolving the very initial stage of the process which…

Fluid Dynamics · Physics 2015-06-22 James E. Sprittles , Yulii D. Shikhmurzaev

Modelling hydrodynamic lubrication is crucial in the design of engineering components as well as for a fundamental understanding of friction mechanisms. The cornerstone of thin-film flow modelling is the Reynolds equation -- a…

Fluid Dynamics · Physics 2022-03-08 Hannes Holey , Andrea Codrignani , Peter Gumbsch , Lars Pastewka

It is shown that the oscillation method to study liquid viscosity of [1-3,7-34] is based on incorrect consideration of one dimensional forced (constrained) )vibrations of plate in viscous liquid, because additional (apparent) mass of liquid…

Other Condensed Matter · Physics 2016-04-25 I H Umirzakov

Understanding the flow dynamics of non-Newtonian fluids is crucial in various engineering, industrial, and biomedical applications. However, the existing generalized Reynolds number formulations for non-Newtonian fluids have limited…

Fluid Dynamics · Physics 2024-07-04 Coskun Bilgi , Niema M Pahlevan

We study the friction coefficient of a macroscopic sphere in a viscous fluid at low Reynolds number. First, Kirkwood's formula for the friction coefficient is reviewed on the basis of the Hamiltonian description of particle systems.…

Statistical Mechanics · Physics 2015-10-13 Masato Itami , Shin-ichi Sasa

A new approach for reducing error of the volume penalization method is proposed. The mask function is modified by shifting the interface between solid and fluid by ({\nu}{\eta})^0.5 toward the fluid region, where {\nu} and {\eta} are the…

Computational Physics · Physics 2014-09-05 Wakana Iwakami , Yuzuru Yatagai , Nozomu Hatakeyama , Yuji Hattori

Wall-pressure fluctuations are a practically robust input for real-time control systems aimed at modifying wall-bounded turbulence. The scaling behaviour of the wall-pressure--velocity coupling requires investigation to properly design a…

Fluid Dynamics · Physics 2024-01-11 Woutijn J. Baars , Giulio Dacome , Myoungkyu Lee

To predict liquid-gas two-phase flow phenomena, accurate tracking and prediction of the evolving liquid-gas interface is required. Volume-of-Fluid or VoF method has been used in the literature for computationally modeling of such flows. In…

Fluid Dynamics · Physics 2023-01-05 Sucharitha Rajendran , Raj M Manglik , Milind A Jog

The Stokes equation with the varying viscosity is considered in a thin tube structure, i.e. in a connected union of thin rectangles with heights of order $\varepsilon<<1 $ and with bases of order 1 with smoothened boundary. An asymptotic…

Analysis of PDEs · Mathematics 2014-03-25 G. Cardone , R. Fares , G. P. Panasenko

Various methods for numerically solving Stokes Flow, where a small Reynolds number is assumed to be zero, are investigated. If pressure, horizontal velocity, and vertical velocity can be decoupled into three different equations, the…

Computational Engineering, Finance, and Science · Computer Science 2017-12-21 Ryan Hermle

We consider the withdrawal of a ball from a fluid reservoir to understand the longevity of the connection between that ball and the fluid it breaks away from, at intermediate Reynolds numbers. Scaling arguments based on the processes…

Fluid Dynamics · Physics 2017-12-13 B. Turnbull , M. M. Scase , D. S. Percival

A modified Reynolds equation governing the steady flow of a fluid with low Reynolds number through a curvilinear, narrow tube, with its derivation from Stokes equations through asymptotic methods is presented. The channel considered may…

Mathematical Physics · Physics 2019-01-08 Arpan Ghosh , Vladimir Kozlov , Sergey Nazarov

Experiments (Mullin and Kreswell, 2005) show that transition to turbulence can start at Reynolds numbers lower than it is predicted by the linear stability analysis - the subcritical transition to turbulence. To explain these observations…

Fluid Dynamics · Physics 2008-07-08 K. Y. Volokh

When fluid is confined between two molecularly smooth surfaces to a few molecular diameters, it shows a large enhancement of its viscosity. From experiments it seems clear that the fluid is squeezed out layer by layer. A simple solution of…

Soft Condensed Matter · Physics 2011-11-02 Saroj Kumar Nandi

We apply the geometric theory of swimming at low Reynolds number to the study of nearly circular swimmers in two-dimensional fluids with non-vanishing Hall, or "odd", viscosity. The Hall viscosity gives an off-diagonal contribution to the…

Soft Condensed Matter · Physics 2014-05-07 Matthew F. Lapa , Taylor L. Hughes