Kelvin waves with helical Beltrami flow structure
In this work we show that when an inviscid axisymmetric Rankine flow experiences a soft expansion, rotating Kelvin waves can be excited. Downstream of the region where the expansion occurs (the transition region) the resulting flow can be expressed as the addition of a Rankine and a Beltrami flow. T...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2008 |
| Country: | Argentina |
| Institution: | Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales |
| Repository: | Biblioteca Digital (UBA-FCEN) |
| Language: | English |
| OAI Identifier: | paperaa:paper_10706631_v20_n2_p_Gonzalez |
| Online Access: | http://hdl.handle.net/20.500.12110/paper_10706631_v20_n2_p_Gonzalez |
| Access Level: | Open access |
| Keyword: | Boundary conditions Flow structure Rotational flow Beltrami constant Beltrami flow Kelvin wave Oscillatory flow Rankine flow Fluid dynamics |
| Summary: | In this work we show that when an inviscid axisymmetric Rankine flow experiences a soft expansion, rotating Kelvin waves can be excited. Downstream of the region where the expansion occurs (the transition region) the resulting flow can be expressed as the addition of a Rankine and a Beltrami flow. The Beltrami constant is determined from the Rankine upstream flow, and the helix pitch of the n=1 mode results from the boundary conditions downstream. Finally, a discussion of the process leading to oscillatory flow and a conjecture about the topological background that sustains the Beltrami flow structure are offered. © 2008 American Institute of Physics. |
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