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The present study numerically investigates the two-dimensional mixed convective flow of air past a square cylinder placed at an angle of incidence $\alpha = 45^{\circ}$ to the free-stream. We perform direct numerical simulations (DNS) for a…

Fluid Dynamics · Physics 2025-08-08 Kavin Kabilan , Swapnil Sen , Arun K Saha

The vortex dynamics of laminar flow past a rectangular cavity is investigated using simulations and experiments. The flow is three-dimensional and characterized by a large, dominant vortex structure that fills most of the cavity at moderate…

Fluid Dynamics · Physics 2023-02-10 H. Wang , X. Yu , S. T. Chan , G. Durey , A. Shen , J. T. Ault

This study investigates the spatial distribution of inertial particles in turbulent Taylor-Couette flow. Direct numerical simulations are performed using a one-way coupled Eulerian-Lagrangian approach, with a fixed inner wall Reynolds…

Fluid Dynamics · Physics 2024-02-28 Hao Jiang , Zhi-ming Lu , Bo-fu Wang , Xiao-hui Meng , Jie Shen , Kai Leong Chong

Perturbed plane Couette flow containing a thin spanwise-oriented ribbon undergoes a subcritical bifurcation at Re = 230 to a steady 3D state containing streamwise vortices. This bifurcation is followed by several others giving rise to a…

Fluid Dynamics · Physics 2009-11-10 Laurette S. Tuckerman , Dwight Barkley

We study the stationary Navier--Stokes equations in the region between two rotating concentric cylinders. We first prove that, under the small Reynolds number, if the fluid is axisymmetric and if its velocity is sufficiently small in the…

Analysis of PDEs · Mathematics 2025-05-19 Hideo Kozono , Yutaka Terasawa , Yuta Wakasugi

We report a direct-numerical-simulation study of Taylor-Couette flow in the quasi-Keplerian regime at shear Reynolds numbers up to $\mathcal{O}(10^5)$. Quasi-Keplerian rotating flow has been investigated for decades as a simplified model…

Fluid Dynamics · Physics 2017-11-21 Liang Shi , Bjoern Hof , Markus Rampp , Marc Avila

The secondary circulation of the tropical cyclone (TC) is related to its formation and intensification, thus becomes very important in the studies. The analytical solutions have both the primary and secondary circulation in a…

Atmospheric and Oceanic Physics · Physics 2013-09-10 Liang Sun

We find three types of steady solutions and remarkable flow pattern transitions between them in a two-dimensional wavy-walled channel for low to moderate Reynolds (Re) and Weissenberg (Wi) numbers using direct numerical simulations with…

Pattern Formation and Solitons · Physics 2010-09-21 Hiroki Yatou

A unique pattern selection in the absolutely unstable regime of a driven, nonlinear, open-flow system is analyzed: The spatiotemporal structures of rotationally symmetric vortices that propagate downstream in the annulus of the rotating…

patt-sol · Physics 2009-10-30 P. Buechel , M. Luecke , D. Roth , R. Schmitz

Emulsions are omnipresent in the food industry, health care, and chemical synthesis. In this Letter the dynamics of meta-stable oil-water emulsions in highly turbulent ($10^{11}\leq\text{Ta}\leq 3\times 10^{13}$) Taylor--Couette flow, far…

The linear stability theory of Taylor-Couette flows (unbounded in_z_) is described including magnetic fields, Hall effect or a density stratification in order to prepare laboratory experiments to probe the stability of differential rotation…

Astrophysics · Physics 2007-05-23 Guenther Ruediger

We study the magnetorotational instability in cylindrical Taylor-Couette flow, with the (vertically unbounded) cylinders taken to be perfect conductors, and with externally imposed spiral magnetic fields. The azimuthal component of this…

Astrophysics · Physics 2009-11-11 G. Ruediger , R. Hollerbach , M. Schultz , D. A. Shalybkov

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

We use numerical simulations to systematically investigate the vesicle dynamics in two-dimensional (2D) Taylor-Green vortex flow in the absence of inertial forces. Vesicles are highly deformable membranes encapsulating an incompressible…

Biological Physics · Physics 2023-05-10 Gökberk Kabacaoğlu , Enkeleida Lushi

This paper probes into the flow induced by a rotating cone-cylinder model in an enclosure. Two component particle image velocimetry measurements in the symmetry plane reveal that the rotating cone-cylinder causes an outward jet on the…

Fluid Dynamics · Physics 2025-05-30 Rajkamal Sah , Sumit Sunil Tambe , Gopalan Jagadeesh

The results studying various laminar flow regimes in diverging and converging plain channels (diffuser and confusor) with a small opening angle of channels (diverging and converging angles) are presented. The results are obtained for a…

Fluid Dynamics · Physics 2022-03-10 Alexey I. Fedyushkin , Artur A. Puntus , Evgeny V. Volkov

Non-modal transient growth of disturbances in a viscous mixing layer flow is studied for the Reynolds numbers varying from 100 up to 5000 at different streamwise and spanwise wavenumbers. By comparing results of several mathematical…

Fluid Dynamics · Physics 2014-06-12 Helena Vitoshkin Alexander Gelfgat

The spherical Couette system consists of two differentially rotating concentric spheres with a fluid filled in between. We study a regime where the outer sphere is rotating rapidly enough so that the Coriolis force is important and the…

Fluid Dynamics · Physics 2024-12-16 Ankit Barik , Santiago A. Triana , Michael Hoff , Johannes Wicht

The `Rayleigh line' $\mu=\eta^2$, where $\mu=\Omega_o/\Omega_i$ and $\eta=r_i/r_o$ are respectively the rotation and radius ratios between inner (subscript `i') and outer (subscript `o') cylinders, is regarded as marking the limit of…

Fluid Dynamics · Physics 2016-10-12 Colin Leclercq , Florian Nguyen , Rich R. Kerswell

Fluidic transport in inverted T-shaped cavities with the flow entering through the top and exiting from the two bottom outlets experiences an interesting phenomenon that causes particles having density lower than that of the fluid medium to…

Fluid Dynamics · Physics 2022-11-15 Sneham Das , Saikat Basu