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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

We demonstrate an unexpected connection between isotropic turbulence and wall-bounded shear flows. We perform direct numerical simulations of isotropic turbulence forced at large scales at moderate Reynolds numbers and observe sudden…

Fluid Dynamics · Physics 2015-09-25 Moritz Linkmann , Alexander Morozov

Turbulent flows present rich dynamics originating from non-trivial energy fluxes across scales, non-stationary forcings and geometrical constraints. This complexity manifests in non-hyperbolic chaos, randomness, state-dependent persistence…

The nonlinear robustness of laminar plane Couette flow is considered under the action of in-phase spanwise wall oscillations by computing properties of the edge of chaos, i.e., the boundary of its basin of attraction. Three measures are…

Fluid Dynamics · Physics 2022-05-11 Anton Pershin , Cedric Beaume , Tom S. Eaves , Steven M. Tobias

Direct numerical simulations of turbulent flow in a channel with one rigid and one viscoelastic wall are performed. An Eulerian-Eulerian model is adopted with a level-set approach to identify the fluid-compliant material interface. Focus is…

Fluid Dynamics · Physics 2021-11-03 Amir Esteghamatian , Joseph Katz , Tamer A. Zaki

Transition to turbulence is due to the instability of a laminar flow subject to a disturbance. This complicated problem can be explained using a new proposed energy gradient theory in our previous study. This theory is extended to the…

Chaotic Dynamics · Physics 2007-05-23 Hua-Shu Dou

We develop a framework for analyzing the momentum balance of laminar particle-laden flows based on immersed boundary methods, which solve the Navier-Stokes equations and resolve the particle surfaces. This framework differs from previous…

Fluid Dynamics · Physics 2018-06-04 E. Biegert , B. Vowinckel , E. Meiburg

A variational principle is derived for two-dimensional incompressible rotational fluid flow with a free surface in a moving vessel when both the vessel and fluid motion are to be determined. The fluid is represented by a stream function and…

Fluid Dynamics · Physics 2020-02-20 H. Alemi Ardakani , T. J. Bridges , F. Gay-Balmaz , Y. Huang , C. Tronci

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 investigate the nonlinear dynamics of turbulent shear flows, with and without rotation, in the context of a simple but physically motivated closure of the equation governing the evolution of the Reynolds stress tensor. We show that the…

Astrophysics · Physics 2009-11-10 Pascale Garaud , Gordon I. Ogilvie

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

Well-resolved numerical simulations are used to study Rayleigh-B\'enard-Poiseuille flow over an evolving phase boundary for moderate values of P\'eclet ($Pe \in \left[0, 50\right]$) and Rayleigh ($Ra \in \left[2.15 \times 10^3,…

Fluid Dynamics · Physics 2021-06-09 S. Toppaladoddi

In this work, we are interested in the transient dynamics of a fluid configuration consisting of three fixed cylinders whose axes distribute over an equilateral triangle in transverse flow << fluidic pinball >>. As the Reynolds number is…

We investigate various boundary conditions in two dimensional turbulence systematically in the context of conformal field theory. Keeping the conformal invariance, we can either change the shape of boundaries through finite conformal…

High Energy Physics - Theory · Physics 2010-02-05 B. K. Chung , Soonkeon Nam , Q-Han Park , H. J. Shin

Lubrication expressions for the friction coefficients of a spherical particle moving in a fluid between and along two parallel solid walls are explicitly evaluated in the low-Reynolds-number regime. They are used to determine lubrication…

Fluid Dynamics · Physics 2009-11-13 M. L. Ekiel-Jezewska , E. Wajnryb , J. Blawzdziewicz , F. Feuillebois

This note studies a family of Navier-Stokes-Allen-Cahn systems parameterized by temperature. Derived from an internal energy that corresponds to one incompressible and one compressible phase, this family is considered as a simple model for…

Analysis of PDEs · Mathematics 2013-06-11 Heinrich Freistuhler , Matthias Kotschote

Processing the data from a large variety of zero-pressure-gradient boundary layer flows shows that the Reynolds-number-dependent scaling law, which the present authors obtained earlier for pipes, gives an accurate description of the…

Numerical Analysis · Mathematics 2025-10-20 Grigory I. Barenblatt , Alexandre J. Chorin , V. M. Prostokishin

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 conventional boundary conditions at the interface between two flowing liquids include continuity of the tangential velocity. We have tested this assumption with molecular dynamics simulations of Couette and Poiseuille flows of…

Soft Condensed Matter · Physics 2009-11-11 Joel Koplik , Jayanth R. Banavar

This paper presents an experimental study on the transition from smooth to rough walls, and back to the smooth one, in turbulent closed-conduit flows. These transitions cause a shift on flow velocity profiles that changes their parameters…

Fluid Dynamics · Physics 2018-04-10 Gabriel Maltese Meletti de Oliveira , Erick de Moraes Franklin