Time dependent correlation functions and polydispersity effects in bubbling flows
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Sociedad Mexicana de Física A.C.
2006
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| _version_ | 1876437105674027008 |
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| author | E. Salinas-Rodríguez |
| author_facet | E. Salinas-Rodríguez |
| contents | Time dependent correlation functions and polydispersity effects in bubbling flows E. Salinas-Rodríguez R.F. Rodríguez J.M. Zamora A. Soria Física, Astronomía y Matemáticas stability Bubbly flows kinetic theory void fraction waves We generalize previous works to calculate the volume fraction fluctuations correlation function for a size polydispersed bubble column. Theoretically, we adopt a statistical mechanistic point of view and use a stochastic description to calculate the above mentioned correlation function for a gas-liquid vertical bubble column. On the other hand, we also obtain this correlation function from the data obtained by an electrical impedance spectroscopy technique.We find that bubble size polydispersity affects several properties of the bubble column such as the gain factor, mean bubble velocity, kinematic and dynamic wave velocities. We find that bubble size polydispersity may enhance significantly the stability of void fraction waves by a factor which varies between 0.4 − 23% as a function of its frequency and for the specific bubble column considered in our experiments. The comparison between the calculated volume fraction correlation function and the same quantity obtained from measured data is then analyzed. We find that polydispersity effects yield a better comparison between theory and experiment than the monodispersed case and lead to an absolute mean error of 5%, as compared with the error of 10.6% obtained for the monodispersed case. Our results reinforce the point of view advocated in this work in the sense that a description of a bubble column based on the concept of randomness of a bubble cloud and average properties of the fluid motion, may be a useful approach that has not been exploited in engineering systems. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57028296008 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.52 |
| format | Artículo científico |
| id | redalyc_57028296008 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Time dependent correlation functions and polydispersity effects in bubbling flows E. Salinas-Rodríguez Física, Astronomía y Matemáticas stability Bubbly flows kinetic theory void fraction waves Time dependent correlation functions and polydispersity effects in bubbling flows E. Salinas-Rodríguez R.F. Rodríguez J.M. Zamora A. Soria Física, Astronomía y Matemáticas stability Bubbly flows kinetic theory void fraction waves We generalize previous works to calculate the volume fraction fluctuations correlation function for a size polydispersed bubble column. Theoretically, we adopt a statistical mechanistic point of view and use a stochastic description to calculate the above mentioned correlation function for a gas-liquid vertical bubble column. On the other hand, we also obtain this correlation function from the data obtained by an electrical impedance spectroscopy technique.We find that bubble size polydispersity affects several properties of the bubble column such as the gain factor, mean bubble velocity, kinematic and dynamic wave velocities. We find that bubble size polydispersity may enhance significantly the stability of void fraction waves by a factor which varies between 0.4 − 23% as a function of its frequency and for the specific bubble column considered in our experiments. The comparison between the calculated volume fraction correlation function and the same quantity obtained from measured data is then analyzed. We find that polydispersity effects yield a better comparison between theory and experiment than the monodispersed case and lead to an absolute mean error of 5%, as compared with the error of 10.6% obtained for the monodispersed case. Our results reinforce the point of view advocated in this work in the sense that a description of a bubble column based on the concept of randomness of a bubble cloud and average properties of the fluid motion, may be a useful approach that has not been exploited in engineering systems. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57028296008 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.52 |
| title | Time dependent correlation functions and polydispersity effects in bubbling flows |
| topic | Física, Astronomía y Matemáticas stability Bubbly flows kinetic theory void fraction waves |
| url | https://www.redalyc.org/articulo.oa?id=57028296008 |