Convección natural de fluidos incompresibles y viscosos en cavidades rectangulares
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Sociedad Mexicana de Física A.C.
2008
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| _version_ | 1876449401370574848 |
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| author | B. Bermúdez |
| author_facet | B. Bermúdez |
| contents | Convección natural de fluidos incompresibles y viscosos en cavidades rectangulares B. Bermúdez A. Nicolás Física, Astronomía y Matemáticas Rayleigh number rectangular cavities Boussinesq aproximation fixed point iterative process Natural convection numerical results for incompressible viscous flows are presented in rectangular cavities with different aspect ratios. Thiskind of flows may be governed by the time-dependent Boussinesq approximation in the stream function-vorticity formulation. The resultsare obtained with a simple numerical scheme previously reported for isothermal/thermal (mixed convection) flows. The numerical scheme isbased mainly on a fixed point iterative process applied to the non-linear elliptic system that results after a second order time discretizationis made. The iterative process leads to the solution of uncoupled, well-conditioned, symmetric linear elliptic problems. The evolution ofthe thermal flow depends on the parameters given by the Rayleigh number Ra, in the range 104 · Ra · 106, and the aspect ratio of thecavity G, in the range 1=3 · G · 3. There are also shown a result related with cats eyes instability, G = 16, and other as an example oftime-dependent thermal flows, G = 1=16. To the best of our knowledge, some results with G different of the unity are being reported for thefirst time 2008 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57054310 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.3 Vol.54 |
| format | Artículo científico |
| id | redalyc_57054310 |
| institution | Redalyc |
| language | en |
| publishDate | 2008 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Convección natural de fluidos incompresibles y viscosos en cavidades rectangulares B. Bermúdez Física, Astronomía y Matemáticas Rayleigh number rectangular cavities Boussinesq aproximation fixed point iterative process Convección natural de fluidos incompresibles y viscosos en cavidades rectangulares B. Bermúdez A. Nicolás Física, Astronomía y Matemáticas Rayleigh number rectangular cavities Boussinesq aproximation fixed point iterative process Natural convection numerical results for incompressible viscous flows are presented in rectangular cavities with different aspect ratios. Thiskind of flows may be governed by the time-dependent Boussinesq approximation in the stream function-vorticity formulation. The resultsare obtained with a simple numerical scheme previously reported for isothermal/thermal (mixed convection) flows. The numerical scheme isbased mainly on a fixed point iterative process applied to the non-linear elliptic system that results after a second order time discretizationis made. The iterative process leads to the solution of uncoupled, well-conditioned, symmetric linear elliptic problems. The evolution ofthe thermal flow depends on the parameters given by the Rayleigh number Ra, in the range 104 · Ra · 106, and the aspect ratio of thecavity G, in the range 1=3 · G · 3. There are also shown a result related with cats eyes instability, G = 16, and other as an example oftime-dependent thermal flows, G = 1=16. To the best of our knowledge, some results with G different of the unity are being reported for thefirst time 2008 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57054310 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.3 Vol.54 |
| title | Convección natural de fluidos incompresibles y viscosos en cavidades rectangulares |
| topic | Física, Astronomía y Matemáticas Rayleigh number rectangular cavities Boussinesq aproximation fixed point iterative process |
| url | https://www.redalyc.org/articulo.oa?id=57054310 |