A numerical simulation of flow between two rotating coaxial frustum cones

Xu, Xiaofei; Xu, Lanxi

doi:10.1016/j.cnsns.2008.08.019

Cited by 8 publications

(6 citation statements)

References 9 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%

“…Noui-Mehidi et al [6,7] investigated the effect of wall alignment on the flow and the stability of the helical flow, as well as the transition to turbulence. 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.…”

Section: R Rmentioning

confidence: 99%

“…The discretized equations are then solved sequentially using a segregated solver. For the justification of the numerical method, one ay refer to [8].…”

Section: Re Rementioning

confidence: 99%

See 2 more Smart Citations

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%

See 1 more Smart Citation

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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“…The behavior of CC flow has been studied by some research workers, both numerically and experimentally. Most results are about the transition to Taylor vortices and turbulence (see Noui-Mehidi et al [3,4] and Xu et al [8]), the existence of steady solution of this problem has not received general concern. As TC flow is the limit case of CC flow, this stimulates us to investigate the existence of steady solution of CC flow mathematically.…”

Section: Introductionmentioning

confidence: 99%

On the existence of steady solution for flows between rotating conical cylinders

Li¹,

Xu²

2014

ams

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The existence of steady solution for flows between two coaxial independently rotating conical cylinders (truncated cones) are considered under condition of small gap and neglecting the effect of the top and bottom boundary. It is proved mathematically that there doesn't exist steady solution of the form: u = u θ (r, z)e + u z (r, z)e Þ and u = u r (r, z)e Ö + u θ (r, z)e with p = p(r, z), for any angular velocities of the conical cylinders. The results of numerical simulation suggest that there exists a statistical three-dimensional steady solution for this configuration with the inner cone rotating and outer one at rest.

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“…It is mentioned that the vortices number is very sensitive to the apex angle [5][6][7][8]. 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.…”

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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A numerical simulation of flow between two rotating coaxial frustum cones

Cited by 8 publications

References 9 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

On the existence of steady solution for flows between rotating conical cylinders

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

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