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Multiple Solutions in Fluid Dynamics
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| Zeitschriftentitel: | Nonlinear Analysis: Modelling and Control |
|---|---|
| Personen und Körperschaften: | |
| In: | Nonlinear Analysis: Modelling and Control, 14, 2009, 2, S. 263-279 |
| Format: | E-Article |
| Sprache: | Unbestimmt |
| veröffentlicht: |
Vilnius University Press
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| Schlagwörter: |
| author_facet |
Yao, L.-S. Yao, L.-S. |
|---|---|
| author |
Yao, L.-S. |
| spellingShingle |
Yao, L.-S. Nonlinear Analysis: Modelling and Control Multiple Solutions in Fluid Dynamics Applied Mathematics Analysis |
| author_sort |
yao, l.-s. |
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Yao, L.-S. 2335-8963 1392-5113 Vilnius University Press Applied Mathematics Analysis http://dx.doi.org/10.15388/na.2009.14.2.14524 <jats:p>The principle of multiple solutions of the Navier-Stokes and energy equations discussed in this paper is not directed at any particular problems in fluid dynamics and heat transfer, or at any specific applications. The non-uniqueness principle states that the Reynolds number, above its critical value, is insufficient to uniquely determine a flow field for a given geometry, or for similar geometries. It is a generic principle for all fluid flows and its transportation properties, but is not well known. It compliments the current popular bifurcation theories by the fact that multiple solutions can exist on each stable bifurcation branch.</jats:p> Multiple Solutions in Fluid Dynamics Nonlinear Analysis: Modelling and Control |
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Vilnius University Press, 2009 |
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Vilnius University Press, 2009 |
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2335-8963 1392-5113 |
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Nonlinear Analysis: Modelling and Control |
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Multiple Solutions in Fluid Dynamics |
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Multiple Solutions in Fluid Dynamics |
| title_full |
Multiple Solutions in Fluid Dynamics |
| title_fullStr |
Multiple Solutions in Fluid Dynamics |
| title_full_unstemmed |
Multiple Solutions in Fluid Dynamics |
| title_short |
Multiple Solutions in Fluid Dynamics |
| title_sort |
multiple solutions in fluid dynamics |
| topic |
Applied Mathematics Analysis |
| url |
http://dx.doi.org/10.15388/na.2009.14.2.14524 |
| publishDate |
2009 |
| physical |
263-279 |
| description |
<jats:p>The principle of multiple solutions of the Navier-Stokes and energy equations discussed in this paper is not directed at any particular problems in fluid dynamics and heat transfer, or at any specific applications. The non-uniqueness principle states that the Reynolds number, above its critical value, is insufficient to uniquely determine a flow field for a given geometry, or for similar geometries. It is a generic principle for all fluid flows and its transportation properties, but is not well known. It compliments the current popular bifurcation theories by the fact that multiple solutions can exist on each stable bifurcation branch.</jats:p> |
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| container_title | Nonlinear Analysis: Modelling and Control |
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| description | <jats:p>The principle of multiple solutions of the Navier-Stokes and energy equations discussed in this paper is not directed at any particular problems in fluid dynamics and heat transfer, or at any specific applications. The non-uniqueness principle states that the Reynolds number, above its critical value, is insufficient to uniquely determine a flow field for a given geometry, or for similar geometries. It is a generic principle for all fluid flows and its transportation properties, but is not well known. It compliments the current popular bifurcation theories by the fact that multiple solutions can exist on each stable bifurcation branch.</jats:p> |
| doi_str_mv | 10.15388/na.2009.14.2.14524 |
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| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTUzODgvbmEuMjAwOS4xNC4yLjE0NTI0 |
| imprint | Vilnius University Press, 2009 |
| imprint_str_mv | Vilnius University Press, 2009 |
| institution | DE-Bn3, DE-Brt1, DE-D161, DE-Zwi2, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229, DE-D275 |
| issn | 2335-8963, 1392-5113 |
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| physical | 263-279 |
| publishDate | 2009 |
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| publisher | Vilnius University Press |
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| series | Nonlinear Analysis: Modelling and Control |
| source_id | 49 |
| spelling | Yao, L.-S. 2335-8963 1392-5113 Vilnius University Press Applied Mathematics Analysis http://dx.doi.org/10.15388/na.2009.14.2.14524 <jats:p>The principle of multiple solutions of the Navier-Stokes and energy equations discussed in this paper is not directed at any particular problems in fluid dynamics and heat transfer, or at any specific applications. The non-uniqueness principle states that the Reynolds number, above its critical value, is insufficient to uniquely determine a flow field for a given geometry, or for similar geometries. It is a generic principle for all fluid flows and its transportation properties, but is not well known. It compliments the current popular bifurcation theories by the fact that multiple solutions can exist on each stable bifurcation branch.</jats:p> Multiple Solutions in Fluid Dynamics Nonlinear Analysis: Modelling and Control |
| spellingShingle | Yao, L.-S., Nonlinear Analysis: Modelling and Control, Multiple Solutions in Fluid Dynamics, Applied Mathematics, Analysis |
| title | Multiple Solutions in Fluid Dynamics |
| title_full | Multiple Solutions in Fluid Dynamics |
| title_fullStr | Multiple Solutions in Fluid Dynamics |
| title_full_unstemmed | Multiple Solutions in Fluid Dynamics |
| title_short | Multiple Solutions in Fluid Dynamics |
| title_sort | multiple solutions in fluid dynamics |
| title_unstemmed | Multiple Solutions in Fluid Dynamics |
| topic | Applied Mathematics, Analysis |
| url | http://dx.doi.org/10.15388/na.2009.14.2.14524 |