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Journal ArticleDOI

Steady flow between a rotating circular cylinder and fixed square cylinder

E. Lewis
- 11 Dec 1979 - 
- Vol. 95, Iss: 03, pp 497-513
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TLDR
In this paper, the problem of steady, incompressible, viscous flow between two infinite concentric cylinders, the cross-sections of the inner and outer cylinders being circular and square respectively, was solved for Reynolds number in the range 1-1400 and for several values of the parameter B, defined as the ratio of the side of the square to the diameter of the circle.
Abstract
Numerical solutions have been obtained for the problem of steady, incompressible, viscous flow between two infinite concentric cylinders, the cross-sections of the inner and outer cylinders being circular and square respectively. The square cylinder is fixed and the flow is driven by the rotation of the circular cylinder. Solutions are given for Reynolds number in the range 1–1400 and for several values of the parameter B, defined as the ratio of the side of the square to the diameter of the circle.

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Citations
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Mixed convection in superposed nanofluid and porous layers in square enclosure with inner rotating cylinder

TL;DR: In this article, numerical simulation of mixed convection in a partitioned square cavity having CuO-Water nanofluid and superposed porous medium with an adiabatic rotating cylinder is performed.
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“The hydrogen atom of fluid dynamics” – introduction to the Taylor–Couette flow for soft matter scientists

TL;DR: This tutorial review focuses on the inertial instability of isothermal and incompressible Newtonian fluids flowing between concentric cylinders and highlights important aspects that can guide the study and control of instabilities in complex fluids in general.
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Mixed convection in a partially layered porous cavity with an inner rotating cylinder

TL;DR: In this paper, the effects of Rayleigh number (between 103 and 106), angular rotational speed of the cylinder (between 0 and 6,000), Darcy number, cylinder sizes (between R ǫ = 0.1 and Rǫ= 0.3), and three different vertical locations of the cylindrical shape on the fluid flow and heat transfer characteristics are numerically investigated.
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Cellular Stokes flow induced by rotation of a cylinder in a closed channel

TL;DR: In this paper, the evolution of the cellular structure of the two-dimensional creeping flow induced by a rotating circular cylinder set in the centre of a rectangular channel is studied numerically and experimentally when the aspect ratio A increases from 1 to 7.
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Hydromagnetic Mixed Convective Transport in a Vertical Lid-Driven Cavity Including a Heat Conducting Rotating Circular Cylinder

TL;DR: In this paper, a two-dimensional numerical simulation is performed for the hydromagnetic mixed convective transport in a vertical lid-driven square enclosure filled with an electrically conducting fluid in the presence of a heat conducting and rotating solid circular cylinder.
References
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Book

An Introduction to Fluid Dynamics

TL;DR: The dynamique des : fluides Reference Record created on 2005-11-18 is updated on 2016-08-08 and shows improvements in the quality of the data over the past decade.
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Viscous and resistive eddies near a sharp corner

TL;DR: In this paper, it was shown that when either or both of the boundaries is a rigid wall and when the angle between the planes is less than a certain critical angle, any flow sufficiently near the corner must consist of a sequence of eddies of decreasing size and rapidly decreasing intensity.
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Analytical and numerical studies of the structure of steady separated flows

TL;DR: In this paper, an analytical solution, based on a linearized model, is obtained for an eddy bounded by a circular streamline, which reveals the flow development from a completely viscous eddy at low Reynolds number to an inviscid rotational core at high Reynolds number, in the manner envisaged by Batchelor.
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On steady laminar flow with closed streamlines at large Reynolds number

TL;DR: In this article, it is shown that if the motion is to be exactly steady there is an integral condition, arising from the existence of viscous forces, which must be satisfied by the vorticity distribution no matter how small the viscosity may be.
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Steady flows in rectangular cavities

TL;DR: In this article, the steady flow in a rectangular cavity where the motion is driven by the uniform translation of the top wall was studied and it was shown that the high Reynolds number steady flow should consist essentially of a single inviscid core of uniform vorticity with viscous effects being confined to thin shear layers near the boundaries.
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