Nonnormal energy transient growth in the Taylor-Couette problem
This work is devoted to the study of transient growth of perturbations in the Taylor-Couette problem due to nonnormal mechanisms. The study is carried out for a particular small gap case and is mostly focused on the linearly stable regime of counter-rotation. The exploration covers a wide range of i...
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| Format: | Report |
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Unspecified
2001
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| _version_ | 1797060495718481920 |
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| author | Meseguer, A |
| author_facet | Meseguer, A |
| author_sort | Meseguer, A |
| collection | OXFORD |
| description | This work is devoted to the study of transient growth of perturbations in the Taylor-Couette problem due to nonnormal mechanisms. The study is carried out for a particular small gap case and is mostly focused on the linearly stable regime of counter-rotation. The exploration covers a wide range of inner and outer angular speeds as well as axial and azimuthal modes. Clear evidence of transient growth is found as long as the counter-rotation is increased. The numerical results are in agreement with former analyses based on energy methods. Similarities with transient growth mechanisms in plane Couette flow and in Hagen-Poiseuille flow are found. This is reflected in the modulation of the basic circular Couette flow by the presence of azimuthal streaks as a result of the nonmodal growth of initial axisymmetric perturbations. This study might shed some light on the subcritical transition to turbulence which is found experimentally in Taylor-Couette flow when the cylinders rotate in opposite directions. This work was supported by UK Engineering and Physical Sciences Research Council Grant GR/M30890. |
| first_indexed | 2024-03-06T20:17:57Z |
| format | Report |
| id | oxford-uuid:2ccb1f50-d2a8-429c-99e1-2698070e205c |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:17:57Z |
| publishDate | 2001 |
| publisher | Unspecified |
| record_format | dspace |
| spelling | oxford-uuid:2ccb1f50-d2a8-429c-99e1-2698070e205c2022-03-26T12:39:11ZNonnormal energy transient growth in the Taylor-Couette problemReporthttp://purl.org/coar/resource_type/c_93fcuuid:2ccb1f50-d2a8-429c-99e1-2698070e205cMathematical Institute - ePrintsUnspecified2001Meseguer, AThis work is devoted to the study of transient growth of perturbations in the Taylor-Couette problem due to nonnormal mechanisms. The study is carried out for a particular small gap case and is mostly focused on the linearly stable regime of counter-rotation. The exploration covers a wide range of inner and outer angular speeds as well as axial and azimuthal modes. Clear evidence of transient growth is found as long as the counter-rotation is increased. The numerical results are in agreement with former analyses based on energy methods. Similarities with transient growth mechanisms in plane Couette flow and in Hagen-Poiseuille flow are found. This is reflected in the modulation of the basic circular Couette flow by the presence of azimuthal streaks as a result of the nonmodal growth of initial axisymmetric perturbations. This study might shed some light on the subcritical transition to turbulence which is found experimentally in Taylor-Couette flow when the cylinders rotate in opposite directions. This work was supported by UK Engineering and Physical Sciences Research Council Grant GR/M30890. |
| spellingShingle | Meseguer, A Nonnormal energy transient growth in the Taylor-Couette problem |
| title | Nonnormal energy transient growth in the Taylor-Couette problem |
| title_full | Nonnormal energy transient growth in the Taylor-Couette problem |
| title_fullStr | Nonnormal energy transient growth in the Taylor-Couette problem |
| title_full_unstemmed | Nonnormal energy transient growth in the Taylor-Couette problem |
| title_short | Nonnormal energy transient growth in the Taylor-Couette problem |
| title_sort | nonnormal energy transient growth in the taylor couette problem |
| work_keys_str_mv | AT meseguera nonnormalenergytransientgrowthinthetaylorcouetteproblem |