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The structure of the boundary layers in turbulent Rayleigh-Benard convection is studied by means of three-dimensional direct numerical simulations. We consider convection in a cylindrical cell at an aspect ratio one for Rayleigh numbers of…

Fluid Dynamics · Physics 2012-09-04 Nan Shi , Mohammad S. Emran , Joerg Schumacher

For applications regarding transition prediction, wing design and control of boundary layers, the fundamental understanding of disturbance growth in the flat-plate boundary layer is an important issue. In the present work we investigate the…

Fluid Dynamics · Physics 2013-03-05 A. V. Monwanou , C. H. Miwadinou , J. B. Chabi Orou

For flow-enhanced crystallization in fiber spinning, the viscoelastic two-phase fiber models by Doufas et al. (J. Non-Newton. Fluid Mech., 2000) and Shrikhande et al. (J. Appl. Polym. Sci., 2006) are state of the art. However, the boundary…

Fluid Dynamics · Physics 2021-06-15 Manuel Ettmüller , Walter Arne , Nicole Marheineke , Raimund Wegener

The onset of turbulence in laminar flow of viscous fluids is shown to be a consequence of the limited capacity of the fluid to withstand shear stress. This fact is exploited to predict the flow velocity at which laminar flow becomes…

General Physics · Physics 2017-03-22 A. Paglietti

It is well known that the Poiseuille flow of a visco-elastic polymer fluid between plates or through a tube is linearly stable in the zero Reynolds number limit, although the stability is weak for large Weissenberg numbers. In this paper we…

Statistical Mechanics · Physics 2007-05-23 Bernard Meulenbroek , Cornelis Storm , Alexander N. Morozov , Wim van Saarloos

Water wave propagation can be attenuated by various physical mechanisms. One of the main sources of wave energy dissipation lies in boundary layers. The present work is entirely devoted to thorough analysis of the dispersion relation of the…

Classical Physics · Physics 2020-02-20 Denys Dutykh

This study uses high-fidelity simulations (DNS or LES) and experimental datasets to analyse the effect of non-equilibrium streamwise mean pressure gradients (adverse or favourable), including attached and separated flows, on the statistics…

Fluid Dynamics · Physics 2024-11-20 Saurabh Pargal , Junlin Yuan , Stephane Moreau

We consider a boundary-value problem describing the steady motion of a two-component mixture of viscous compressible heat-conducting fluids in a bounded domain. We make no simplifying assumptions except for postulating the coincidence of…

Analysis of PDEs · Mathematics 2017-10-19 Alexander Mamontov , Dmitriy Prokudin

Recent works reveal the importance of chaotic flow fluctuations as a mechanism for the enhanced resistance observed in viscoelastic porous media flows, and also show how chaotic fluctuations are affected by the structural disorder of porous…

Fluid Dynamics · Physics 2026-03-24 Simon J Haward , Amy Q Shen

Using the relativistic equations of radiation hydrodynamics in the viscous limit, we analyze the boundary layers that develop between radiation-dominated jets and their environments. In this paper we present the solution for the…

High Energy Astrophysical Phenomena · Physics 2015-08-19 Eric R. Coughlin , Mitchell C. Begelman

It is shown that the addition of small amounts of microscopic rods in a viscous fluid at low Reynolds number causes a significant increase of the flow resistance. Numerical simulations of the dynamics of the solution reveal that this…

Fluid Dynamics · Physics 2017-11-22 Emmanuel L. C. VI M. Plan , Stefano Musacchio , Dario Vincenzi

Linear stability analysis currently fails to predict turbulence transition in canonical viscous flows. We show that two alternative models of the boundary condition for incipient perturbations at solid walls produce linear instabilities…

Fluid Dynamics · Physics 2024-07-11 John O. Dabiri , Anthony Leonard

We model the superfluid flow of liquid helium over the rough surface of a wire (used to experimentally generate turbulence) profiled by atomic force microscopy. Numerical simulations of the Gross-Pitaevskii equation reveal that the sharpest…

Other Condensed Matter · Physics 2017-04-05 G. W. Stagg , N. G. Parker , C. F. Barenghi

In this note we investigate the asymptotic behavior of plane shear thickening fluids around a bounded obstacle. Different from the Navier-Stokes case considered by Gilbarg-Weinberger in \cite{GW1978}, where the good structure of the…

Analysis of PDEs · Mathematics 2020-07-15 Shuai Li , Tao Wang , Wendong Wang

In this paper, we are concerned with the validity of Prandtl boundary layer expansion for the solutions to two dimensional (2D) steady viscous incompressible magnetohydrodynamics (MHD) equations in a domain $\{(X, Y)\in[0,…

Analysis of PDEs · Mathematics 2020-01-20 Shijin Ding , Zhilin Lin , Feng Xie

Analytic predictions of mean velocity profile (MVP) and streamwise ($x$) development of related integral quantities are presented for flows in channel and turbulent boundary layer (TBL), based on a symmetry analysis of eddy length and total…

Fluid Dynamics · Physics 2016-05-24 Xi Chen , Zhen-Su She

The ultimate goal of a sound theory of turbulence in fluids is to close in a rational way the Reynolds equations, namely to express the time averaged turbulent stress tensor as a function of the time averaged velocity field. This closure…

Fluid Dynamics · Physics 2021-05-18 Yves Pomeau , Martine Le Berre

In computational models of microchannel flows, the Helmholtz-Smoluchowski slip velocity boundary condition is often used because it approximates the motion of the electric double layer without resolving the charge density profiles close to…

Fluid Dynamics · Physics 2023-07-19 Bimalendu Mahapatra , Aditya Bandopadhyay

The ubiquitous wall slip behavior of viscoplastic fluids renders the analysis of their steady torsional flow data to determine their yield stress and other parameters of their shear viscosity material function challenging. Roughened…

Fluid Dynamics · Physics 2021-06-28 Dilhan M. Kalyon

Stents are medical devices designed to modify blood flow in aneurysm sacs, in order to prevent their rupture. Some of them can be considered as a locally periodic rough boundary. In order to approximate blood flow in arteries and vessels of…

Analysis of PDEs · Mathematics 2009-01-20 Eric Bonnetier , Didier Bresch , Vuk Milisic