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Recent studies of rotating Rayleigh-B\'enard convection at high rotation rates and strong thermal forcing have shown a significant discrepancy in total heat transport between experiments on a confined cylindrical domain on the one hand and…

The mixed convection flow in a plane channel with adiabatic boundaries is examined. The boundaries have an externally prescribed relative velocity defining a Couette-like setup for the flow. A stationary flow regime is maintained with a…

Fluid Dynamics · Physics 2023-10-04 A. Barletta , M. Celli , S. Lazzari , P. V. Brandão

We consider a flow of heat conducting fluid inside a moving domain whose shape in time is prescribed. The flow in this case is governed by the Navier-Stokes-Fourier system consisting of equation of continuity, momentum balance, entropy…

Analysis of PDEs · Mathematics 2017-11-29 Ondrej Kreml , Vaclav Macha , Sarka Necasova , Aneta Wroblewska-Kaminska

In a recent paper (El Omari and Le Guer, IJHMT, 53, 2010) we have investigated mixing and heat transfer enhancement in a mixer composed of two circular rods maintained vertically in a cylindrical tank. The rods and tank can rotate around…

Fluid Dynamics · Physics 2010-12-14 Kamal El Omari , Yves Le Guer

A Taylor-Couette setup with radial heating is considered where a Boussinesq fluid is sheared in the annular region between two concentric, independently rotating cylinders maintained at different temperatures. Linear stability analysis is…

Fluid Dynamics · Physics 2023-08-17 Pratik Aghor , Mohammad Atif

We numerically investigate Taylor-Couette flow in a wide-gap configuration, with $r_i/r_o=1/2$, the inner cylinder rotating, and the outer cylinder stationary. The fluid is taken to be electrically conducting, and a magnetic field of the…

Fluid Dynamics · Physics 2017-04-07 Rainer Hollerbach , Farzana Khan

We study the decay of high-Reynolds number Taylor-Couette turbulence, i.e. the turbulent flow between two coaxial rotating cylinders. To do so, the rotation of the inner cylinder (Re$_i=2 \times 10^6$, the outer cylinder is at rest) is…

We investigate fundamental nonlinear dynamics of ferrofluidic Taylor-Couette flow - flow confined between two concentric independently rotating cylinders - consider small aspect ratio by solving the ferrohydrodynamical equations, carrying…

Computational Physics · Physics 2017-01-02 Sebastian Altmeyer , Younghae Do , Ying-Cheng Lai

We study the long-time behaviour of the temperature-driven compressible flows. We show that numerical solutions of a structure-preserving finite volume method generate a discrete attractor that consists of entire discrete trajectories.…

Numerical Analysis · Mathematics 2026-04-07 Eduard Feireisl , Maria Lukacova-Medvidova , Bangwei She , Yuhuan Yuan

In the field of differential equations, particularly fluid dynamics, many researchers have shown an interest in the behavior of time periodic solutions. In this paper, we study isentropic gas flow in a bounded interval and apply a time…

Analysis of PDEs · Mathematics 2023-03-17 Naoki Tsuge

Simulations of the transitional flow in Taylor-Couette configuration are carried out to study the effect of the gap width on turbulent transition. The research results show that, under the same radius and the rotating speed of the inner…

Fluid Dynamics · Physics 2026-04-21 Chang-Quan Zhou , Hua-Shu Dou , Lin Niu , Wen-Qian Xu

In this paper, we investigate the Rayleigh-Taylor instability problem for two compressible, immiscible, inviscid flows rotating with an constant angular velocity, and evolving with a free interface in the presence of a uniform gravitational…

General Mathematics · Mathematics 2012-05-01 Ran Duan , Fei Jiang , Song Jiang

A new turbulent Taylor-Couette system consisting of two independently rotating cylinders has been constructed. The gap between the cylinders has a height of 0.927 m, an inner radius of 0.200 m, and a variable outer radius (from 0.279 to…

Fluid Dynamics · Physics 2012-11-12 Dennis P. M. van Gils , Gert-Wim Bruggert , Daniel P. Lathrop , Chao Sun , Detlef Lohse

In this study we report numerical results of turbulent transport of heat $Nu$ and angular momentum $\nu_{t}/\nu$ in Taylor-Couette (TC) flows subjected to a radial temperature gradient. Direct numerical simulations are performed in a TC…

Fluid Dynamics · Physics 2021-11-25 X. -Y. Leng , J. -Q. Zhong

We investigate the instability and nonlinear saturation of temperature-stratified Taylor-Couette flows in a finite height cylindrical gap and calculate angular-momentum transport in the nonlinear regime. The model is based on an…

Astrophysics · Physics 2009-11-13 M. Gellert , G. Rüdiger

Annular Couette flow is the flow between two coaxial cylinders driven by the axial translation of the inner cylinder. It is investigated using direct numerical simulation in long domains, with an emphasis on the laminar-turbulent…

Fluid Dynamics · Physics 2019-10-08 Kohei Kunii , Takahiro Ishida , Yohann Duguet , Takahiro Tsukahara

The stability of a two-dimensional viscous flow between two rotating porous cylinders is studied. The basic steady flow is the most general rotationally-invariant solution of the Navier-Stokes equations in which the velocity has both radial…

Fluid Dynamics · Physics 2015-06-18 Konstantin Ilin , Andrey Morgulis

A liquid-liquid two-phase Taylor-Couette flow is of fundamental and practical importance in multiphase flow systems. This study investigates the flow transitions in such a system with constant axial flow and gradually increased rotation of…

Fluid Dynamics · Physics 2025-09-01 Hayato Masuda , Yuta Kikuchi , Hiroyuki Iyota

In the above paper an analysis has been carried out to obtain results in the Couette flow of a Newtonian fluid with viscous dissipation and temperature dependent viscosity. The fluid viscosity is an exponential function of temperature.…

Fluid Dynamics · Physics 2007-05-23 Asterios Pantokratoras

In this paper, we formulated the non-steady flow due to the uniformly accelerated and rotating circular cylinder from rest in a stationary, viscous, incompressible and micropolar fluid. This flow problem is examined numerically by adopting…

Fluid Dynamics · Physics 2016-04-25 Abuzar Abid Siddiqui