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== Abstract ==
 
== Abstract ==
  
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En este trabajo se obtienen y analizan los campos de las funciones vorticidad tangencial, circulación y corriente meridional, que se generan en el interior de un cilindro cerrado que tiene el fondo giratorio y la tapa superior y envolvente sin movimiento. Los resultados se presentan mediante gráficas en las que se comparan dichas funciones, para un número de Reynolds de 3x10 4 y para un factor de forma (alto/radio) del recipiente de 0.5, 1.0 y 2.0. Se encontró al comparar el sistema con relación geométrica 2 respecto al 1, que la función corriente disminuye 29’63%; que la circulación permanece constante y que la vorticidad se reduce un 65.91%. Por otro lado, al comparar el sistema con relación geométrica 0.5 respecto al de 1, se encontró que la función corriente aumenta 1.4 veces, que la circulación se incrementó 3.45 veces y que la vorticidad aumentó 0.7 veces. Los resultados anteriores dan una idea del comportamiento de las funciones corriente, circulación y vorticidad tangencial para las relaciones geométricas antes mencionadas, pero se requiere de un mayor análisis para poder utilizar estos resultados al caso particular de mezclado o de alguna otra aplicación práctica de ingeniería. Summary The tangential vorticity function, circulation and meridian stream that form in a closed rotating cylinder are analyzed. The cylinder has a rotating bottom whereas the lateral surface and the top are fixed. The results are presented as graphs that compare the mentioned functions for different aspect ratios. The comparing aspect ratios: 0.5, 1.0 and 2.0. In comparing the 2.0 aspect ratio versus the 1.0 aspect ratio; it is found that the stream function diminished a 29.63%, whereas the circulation does not change and the vorticity decreases 65.91%. On the other hand comparison of the cylinder with aspect ratio 0.5 against the one with aspect ratio 1; gives that the stream function increases 1.4 times; that the circulation increases 3.45 times and the vorticirty increases 0.7 times. The analysis was made for a 3 x 104 Reynolds number. The mentioned results give an indication of the influence of the aspect ratio as to the motion inside the cylinder. Further investigation is required in order to apply the results to particular conditions of mixing or another practical application.
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The tangential vorticity function, circulation and meridian stream that form in a closed rotating cylinder are analyzed. The cylinder has a rotating bottom whereas the lateral surface and the top are fixed. The results are presented as graphs that compare the mentioned functions for different aspect ratios. The comparing aspect ratios: 0.5, 1.0 and 2.0. In comparing the 2.0 aspect ratio versus the 1.0 aspect ratio; it is found that the stream function diminished a 29.63%, whereas the circulation does not change and the vorticity decreases 65.91%. On the other hand comparison of the cylinder with aspect ratio 0.5 against the one with aspect ratio 1; gives that the stream function increases 1.4 times; that the circulation increases 3.45 times and the vorticirty increases 0.7 times. The analysis was made for a 3 x 104 Reynolds number. The mentioned results give an indication of the influence of the aspect ratio as to the motion inside the cylinder. Further investigation is required in order to apply the results to particular conditions of mixing or another practical application.
  
 
== Full document ==
 
== Full document ==
 
<pdf>Media:draft_Content_166945037RR263C.pdf</pdf>
 
<pdf>Media:draft_Content_166945037RR263C.pdf</pdf>

Latest revision as of 11:59, 14 June 2017

Abstract

The tangential vorticity function, circulation and meridian stream that form in a closed rotating cylinder are analyzed. The cylinder has a rotating bottom whereas the lateral surface and the top are fixed. The results are presented as graphs that compare the mentioned functions for different aspect ratios. The comparing aspect ratios: 0.5, 1.0 and 2.0. In comparing the 2.0 aspect ratio versus the 1.0 aspect ratio; it is found that the stream function diminished a 29.63%, whereas the circulation does not change and the vorticity decreases 65.91%. On the other hand comparison of the cylinder with aspect ratio 0.5 against the one with aspect ratio 1; gives that the stream function increases 1.4 times; that the circulation increases 3.45 times and the vorticirty increases 0.7 times. The analysis was made for a 3 x 104 Reynolds number. The mentioned results give an indication of the influence of the aspect ratio as to the motion inside the cylinder. Further investigation is required in order to apply the results to particular conditions of mixing or another practical application.

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Published on 01/07/10
Accepted on 01/07/10
Submitted on 01/07/10

Volume 26, Issue 3, 2010
Licence: CC BY-NC-SA license

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