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Related papers: Revisiting boundary layer flows of viscoelastic fl…

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We consider the flow of an upper convected Maxwell fluid in the limit of high Weissenberg and Reynolds number. In this limit, the no-slip condition cannot be imposed on the solutions. We derive equations for the resulting boundary layer and…

Analysis of PDEs · Mathematics 2015-06-04 Michael Renardy , Xiaojun Wang

We present a set of new energy-stable open boundary conditions for tackling the backflow instability in simulations of outflow/open boundary problems for incompressible flows. These boundary conditions are developed through two steps: (i)…

Fluid Dynamics · Physics 2019-05-22 Naxian Ni , Zhiguo Yang , Suchuan Dong

In rough-wall boundary layers, wall-parallel non-homogeneous mean-flow solutions exist that lead to so-called dispersive velocity components and dispersive stresses. They play a significant role in the mean-flow momentum balance near the…

Fluid Dynamics · Physics 2019-02-20 Johan Meyers , Bharathram Ganapathisubramani , Raúl Bayoán Cal

We find actual evidence, relying upon vorticity time series taken in a high Reynolds number atmospheric experiment, that to a very good approximation the surface boundary layer flow may be described, in a statistical sense and under certain…

Fluid Dynamics · Physics 2009-11-13 M. Kholmyansky , L. Moriconi , A. Tsinober

In the present treatise, a stability analysis of the bottom boundary layer under solitary waves based on energy bounds and nonmodal theory is performed. The instability mechanism of this flow consists of a competition between streamwise…

Fluid Dynamics · Physics 2017-09-25 Joris C. G. Verschaeve , Geir K. Pedersen , Cameron Tropea

The new mode of instability found by Tunney et al. is studied with viscous stability theory in this article. When the high-speed boundary layer is subject to certain values of favorable pressure gradient and wall heating, a new mode becomes…

Fluid Dynamics · Physics 2020-05-14 Jie Ren , Youcheng Xi , Song Fu

In this work we will study the dynamics of a thin layer of a viscous fluid which is embedded in the interior of another viscous fluid. The resulting flow can be approximated by means of the solutions of a free boundary problem for the…

Analysis of PDEs · Mathematics 2020-10-30 Tania Pernas-Castaño , Juan J. L. Velázquez

We study theoretically the viscoelastic properties of sheared binary fluids that have strong dynamical asymmetry between the two components. The dynamical asymmetry arises due to asymmetry between the viscoelastic stresses, particularly the…

Soft Condensed Matter · Physics 2009-11-10 Vinay Dwivedi , Rajeev Ahluwalia , Turab Lookman , Avadh Saxena

We study the laminar and turbulent channel flow over a viscous hyper-elastic wall and show that it is possible to sustain an unsteady chaotic turbulent-like flow at any Reynolds number by properly choosing the wall elastic modulus. We…

Fluid Dynamics · Physics 2020-08-05 Marco E Rosti , Luca Brandt

We analyze the hydrodynamic stability of force-driven parallel shear flows in nonequilibrium molecular simulations with three-dimensional periodic boundary conditions. We show that flows simulated in this way can be linearly unstable, and…

Fluid Dynamics · Physics 2020-06-24 Michael P. Howard , Antonia Statt , Howard A. Stone , Thomas M. Truskett

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

The boundary layer structure of the velocity and temperature fields in turbulent Rayleigh-Benard flows in closed cylindrical cells of unit aspect ratio is revisited from a transitional and turbulent viscous boundary layer perspective. When…

Fluid Dynamics · Physics 2016-12-30 Jörg Schumacher , Vinodh Bandaru , Ambrish Pandey , Janet D. Scheel

This paper is concerned with an initial and boundary value problem of the one-dimensional planar MHD equations for viscous, heat-conducting, compressible, ideal polytropic fluids with constant transport coefficients and large data. The…

Analysis of PDEs · Mathematics 2020-02-19 Xia Ye , Jianwen Zhang

We investigate theoretically the near-wall region in elastic turbulence of a dilute polymer solution in the limit of large Weissenberg number. As it was established experimentally, elastic turbulence possesses a boundary layer where the…

Fluid Dynamics · Physics 2019-02-20 S. Belan , A. Chernykh , V. Lebedev

The method of matched asymptotic expansions is used to study the canonical problem of steady laminar flow through a narrow two-dimensional channel blocked by a tight-fitting finite-length highly permeable porous obstacle. We investigate the…

Fluid Dynamics · Physics 2016-12-05 Mohit P. Dalwadi , S. Jonathan Chapman , Sarah L. Waters , James M. Oliver

Damped internal wave beams in stratified fluids have long been known to generate strong mean flows through a mechanism analogous to acoustic streaming. While the role of viscous boundary layers in acoustic streaming has thoroughly been…

Fluid Dynamics · Physics 2019-02-20 A. Renaud , A. Venaille

An alternative step in understanding the flows of near wall drag-reducing turbulence can be examining the flow in a well-organized streamwise vortex with a laminar background. Herein, we studied the flow behaviors of the Giesekus…

Fluid Dynamics · Physics 2019-09-11 Tomohiro Nimura , Takuya Kawata , Takahiro Tsukahara

In this paper, we investigate the effect of boundary surface roughness on numerical simulations of incompressible fluid flow past a cylinder in two and three spatial dimensions furnished with slip boundary conditions. The governing…

Fluid Dynamics · Physics 2025-11-05 Matthias Maier , Peter Munch , Murtazo Nazarov

Many physical systems of interest involve the close interaction of a flow in a domain with complex, time-varying boundaries. Treatment of boundaries of this nature is cumbersome due to the difficulty in explicitly tracking boundaries that…

Fluid Dynamics · Physics 2025-02-25 Emma M. Boyd , Eric Sandall , Maycon Meier , J. Matt Quinlan , Brandon Runnels

Interior stagnation point flows of viscoelastic liquids arise in a wide variety of applications including extensional viscometry, polymer processing and microfluidics. Experimentally, these flows have long been known to exhibit…

Fluid Dynamics · Physics 2007-05-23 Li Xi , Michael D. Graham