Occurrence of Taylor vortices in the flow between two rotating conical cylinders

Xu, Xiaofei; Wen, Pu; Xu, Lanxi; Cao, Dapeng

doi:10.1016/j.cnsns.2009.05.061

Cited by 12 publications

(7 citation statements)

References 16 publications

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“…So far, the studies of the flow in RLFR have not been given due attention. However, for the upside down device of with the inner one rotating and the outer one at rest have been experimentally studied by Wimmer [4,5] and numerically by Noui-Mehidi et al [6,7], Xu et al [8,9] and Li et al [10]. In [4,5] Wimmer studied the stability of basic flow and the transition to Taylor vortices, as well as the occurrence of Taylor vortex at different geometries.…”

Section: R Rmentioning

confidence: 99%

“…Xu et al [8] studied the dependence of the velocity and the pressure magnitude on the cone inclination. In [9] Xu et al showed that the behavior of the flow is dominated by a competition between the meridional flow and the radial flow. Li et al [10] discussed the local maximum value of velocity and the local maximum of pressure, as well as the transition to Taylor vortices.…”

Section: R Rmentioning

confidence: 99%

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Dimensional and Mechanical Similarity Analysis of the Flow in Rotating Liquid Film Reactor

Li¹,

Xu²,

Zhang³

et al. 2013

OJFD

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A rotating liquid film reactor (RLFR) is a device of two coaxial rotating conical cylinders with the inner cone rotating and the outer one stationary. A complete mathematical model for the flow between the conical cylinders is built and a dimensional analysis is carried out. It is proved that at each point of the flow field the dimensionless pressure and velocity of the flow are determined by parameters: Reynolds number (Re), aspect ratio (Γ), radius ratio (η) and wall inclination angle (α). Furthermore, a sufficient and a necessary condition are derived for mechanical similarity between RLFR and a manufacturing equipment being geometrically similar to RLFR. Finally, a numerical simulation for the distribution of pressure and velocity is performed. The results may provide a theoretical basis for experiment method and numerical simulation of the flow in a RLFR-like device.

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Section: R Rmentioning

confidence: 99%

Section: R Rmentioning

confidence: 99%

Dimensional and Mechanical Similarity Analysis of the Flow in Rotating Liquid Film Reactor

Li¹,

Xu²,

Zhang³

et al. 2013

OJFD

Self Cite

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“…More recently, Xu et al [11] showed in their numerical simulations that the maximum velocity and the pressure magnitudes decrease with increasing the cone apex angle. Xu et al [12] observed that the behavior of the conical flow is dominated by a competition between the meridional flow and the radial flow. Li et al [12] studied the transition to Taylor vortices between rotating conical cylinders in the case of rigid boundaries, where both end plates are stationary.…”

Section: Introductionmentioning

confidence: 99%

“…Xu et al [12] observed that the behavior of the conical flow is dominated by a competition between the meridional flow and the radial flow. Li et al [12] studied the transition to Taylor vortices between rotating conical cylinders in the case of rigid boundaries, where both end plates are stationary.…”

Section: Introductionmentioning

confidence: 99%

Laminar-turbulent transition regimes in the conical Taylor-Couette flow system

et al. 2017

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Abstract. The present work is intended to experimentally study the Taylor-Couette flow between coaxial cones. The inner cone is rotated and the outer cone is maintained fixed. Both cones have the same apex angle ĭ =12°, giving a constant annular gap į =0.12. The height of the fluid column is H=155 mm. The working fluid is assumed as Newtonian and has constant properties (as density and viscosity) within the range of the required experimental conditions. By means of visualization techniques, the critical thresholds related to the onset of various instabilities have been obtained and the corresponding flow modes have been identified. Using images processing, spatio-temporal diagrams have also been calculated, showing the characteristics (wavelength, drift velocity) of the downward helical motion. The results obtained for these transition regimes are compared to those of Wimmer et al. [1][2][3].

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“…Noui-Mehidi et al [4] have examined the laminarturbulent transition in the case of small gap configuration and showed that the flow develops from the laminar regime towards helical motion through the formation of Taylor vortices by varying the rotation speed of the inner cone. Recently, Xio F. et al [5] showed in their numerical simulations that maximum velocity and pressure magnitudes decrease with increasing the cone inclination. Li Qiu-shu et al studied the transition to Taylor vortices between rotating conical cylinders in the case of rigid boundary, where both end plates are stationary [6].…”

Section: Introductionmentioning

confidence: 99%

Theoretical Approach of the Mean Hydrodynamic Field in the Conical Taylor-Couette Flow

Yahi¹,

Bouabdallah²,

Rousset³

et al. 2017

Topical Problems of Fluid Mechanics 2017

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The flow between rotating cones have been investigated experimentally and numerically by several authors. There are a few analytical studies concerning the so called flow system. The flow is defined by an incompressible viscous fluid characterized by constant physical properties (density and kinematic viscosity) between two coaxial cones. The cones have the same apex angle, giving a constant radial gap. The inner cone rotates with an angular velocity Ω and the outer one is maintained at rest. Furthermore, the basic flow between rotating coaxial cones is fully three-dimensional resulting from the balance between centrifugal and viscous forces. The present work focuses in analytical and numerical approach to establish the mean velocity profiles characterizing the basic flow. For that purpose, a particular curvilinear coordinate system is used to establish the governing equation corresponding to the conical Taylor-Couette flow system. The obtained results indicate that the flow is dominated mainly by the tangential velocity component.

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Occurrence of Taylor vortices in the flow between two rotating conical cylinders

Cited by 12 publications

References 16 publications

Dimensional and Mechanical Similarity Analysis of the Flow in Rotating Liquid Film Reactor

Dimensional and Mechanical Similarity Analysis of the Flow in Rotating Liquid Film Reactor

Laminar-turbulent transition regimes in the conical Taylor-Couette flow system

Theoretical Approach of the Mean Hydrodynamic Field in the Conical Taylor-Couette Flow

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