Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow
This study focuses on the investigation of stratified Taylor–Couette flow (STCF) using non-modal analysis, which has received relatively limited attention compared to other shear flows. The dynamics of perturbations under different temperature conditions are explored, and their patterns of amplifica...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/14/3250 |
| _version_ | 1797588329080815616 |
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| author | Larry E. Godwin Philip M. J. Trevelyan Takeshi Akinaga Sotos C. Generalis |
| author_facet | Larry E. Godwin Philip M. J. Trevelyan Takeshi Akinaga Sotos C. Generalis |
| author_sort | Larry E. Godwin |
| collection | DOAJ |
| description | This study focuses on the investigation of stratified Taylor–Couette flow (STCF) using non-modal analysis, which has received relatively limited attention compared to other shear flows. The dynamics of perturbations under different temperature conditions are explored, and their patterns of amplification are analyzed. The study highlights the correlation between flow configurations, emphasizing the similarity in transient dynamics despite different speed ratios. The subcritical effects of thermal stratification on disturbance dynamics are examined, considering the interplay between viscous and buoyancy effects counteracted by strong centrifugal forces. It is found that increasing the wall temperature beyond a critical value leads to buoyancy forces dominating, resulting in a linear increase in the amplification factor. The research reveals significant deviations from previous results, indicating the significant role of temperature stratification. |
| first_indexed | 2024-03-11T00:51:23Z |
| format | Article |
| id | doaj.art-032f6b871ef548dea76efa409048d272 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T00:51:23Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-032f6b871ef548dea76efa409048d2722023-11-18T20:22:48ZengMDPI AGMathematics2227-73902023-07-011114325010.3390/math11143250Transient Dynamics in Counter-Rotating Stratified Taylor–Couette FlowLarry E. Godwin0Philip M. J. Trevelyan1Takeshi Akinaga2Sotos C. Generalis3Department of Applied Mathematics and Data Science, School of Engineering and Applied Science, Aston University, Birmingham B4 7ET, UKDepartment of Applied Mathematics and Data Science, School of Engineering and Applied Science, Aston University, Birmingham B4 7ET, UKFaculty of Engineering Science, Akita University, 1-1 Tegatagakuen-machi, Akita 010-8502, JapanDepartment of Applied Mathematics and Data Science, School of Engineering and Applied Science, Aston University, Birmingham B4 7ET, UKThis study focuses on the investigation of stratified Taylor–Couette flow (STCF) using non-modal analysis, which has received relatively limited attention compared to other shear flows. The dynamics of perturbations under different temperature conditions are explored, and their patterns of amplification are analyzed. The study highlights the correlation between flow configurations, emphasizing the similarity in transient dynamics despite different speed ratios. The subcritical effects of thermal stratification on disturbance dynamics are examined, considering the interplay between viscous and buoyancy effects counteracted by strong centrifugal forces. It is found that increasing the wall temperature beyond a critical value leads to buoyancy forces dominating, resulting in a linear increase in the amplification factor. The research reveals significant deviations from previous results, indicating the significant role of temperature stratification.https://www.mdpi.com/2227-7390/11/14/3250bifurcationstabilitynonlinear dynamicsTaylor–Couette flowconvectionbuoyancy |
| spellingShingle | Larry E. Godwin Philip M. J. Trevelyan Takeshi Akinaga Sotos C. Generalis Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow Mathematics bifurcation stability nonlinear dynamics Taylor–Couette flow convection buoyancy |
| title | Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow |
| title_full | Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow |
| title_fullStr | Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow |
| title_full_unstemmed | Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow |
| title_short | Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow |
| title_sort | transient dynamics in counter rotating stratified taylor couette flow |
| topic | bifurcation stability nonlinear dynamics Taylor–Couette flow convection buoyancy |
| url | https://www.mdpi.com/2227-7390/11/14/3250 |
| work_keys_str_mv | AT larryegodwin transientdynamicsincounterrotatingstratifiedtaylorcouetteflow AT philipmjtrevelyan transientdynamicsincounterrotatingstratifiedtaylorcouetteflow AT takeshiakinaga transientdynamicsincounterrotatingstratifiedtaylorcouetteflow AT sotoscgeneralis transientdynamicsincounterrotatingstratifiedtaylorcouetteflow |