Transient Energy Growth in a Free Cylindrical Liquid Jet
The stability and behavior of jet flows are critical in various engineering applications, yet many aspects remain insufficiently understood. Previous studies predominantly relied on modal methods to describe small perturbations on jet flow surfaces through the linear superposition of modal waves. Ho...
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MDPI AG
2024-11-01
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| Online Access: | https://www.mdpi.com/2226-4310/11/12/985 |
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| author | Dongqi Huang Qingfei Fu Lijun Yang |
| author_facet | Dongqi Huang Qingfei Fu Lijun Yang |
| author_sort | Dongqi Huang |
| collection | DOAJ |
| description | The stability and behavior of jet flows are critical in various engineering applications, yet many aspects remain insufficiently understood. Previous studies predominantly relied on modal methods to describe small perturbations on jet flow surfaces through the linear superposition of modal waves. However, these approaches largely neglected the interaction between different modes, which can lead to transient energy growth and significantly impact jet stability. This work addresses this gap by focusing on the transient growth of disturbances in jet flows through a comprehensive non-modal analysis, which captures the short-term energy evolution. Unlike modal analysis, which provides insights into the overall trend of energy changes over longer periods, non-modal analysis reveals the instantaneous dynamics of the disturbance energy. This approach enables the identification of transient growth mechanisms that are otherwise undetectable using modal methods, which treat disturbance waves as independent and fail to account for their coupling effects. The results demonstrate that non-modal analysis effectively quantifies the interplay between disturbance waves, capturing the nonlinearity inherent in transient energy growth. This method highlights the short-term amplification of disturbances, providing a more accurate understanding of jet flow stability. Furthermore, the impact of dimensionless parameters such as the Reynolds number, Weber number, and initial wave number on transient energy growth is systematically analyzed. Key findings reveal the optimal conditions for maximizing energy growth and elucidate the mechanisms driving these phenomena. By integrating non-modal analysis, this study advances the theoretical framework of transient energy growth, offering new insights into jet flow stability and paving the way for practical improvements in fluid dynamic systems. |
| format | Article |
| id | doaj-art-a8ff3dbb238b4a13b211813b43fbfeb1 |
| institution | Kabale University |
| issn | 2226-4310 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Aerospace |
| spelling | doaj-art-a8ff3dbb238b4a13b211813b43fbfeb12024-12-27T14:02:26ZengMDPI AGAerospace2226-43102024-11-01111298510.3390/aerospace11120985Transient Energy Growth in a Free Cylindrical Liquid JetDongqi Huang0Qingfei Fu1Lijun Yang2School of Astronautic, Beihang University, Beijing 102206, ChinaSchool of Astronautic, Beihang University, Beijing 102206, ChinaSchool of Astronautic, Beihang University, Beijing 102206, ChinaThe stability and behavior of jet flows are critical in various engineering applications, yet many aspects remain insufficiently understood. Previous studies predominantly relied on modal methods to describe small perturbations on jet flow surfaces through the linear superposition of modal waves. However, these approaches largely neglected the interaction between different modes, which can lead to transient energy growth and significantly impact jet stability. This work addresses this gap by focusing on the transient growth of disturbances in jet flows through a comprehensive non-modal analysis, which captures the short-term energy evolution. Unlike modal analysis, which provides insights into the overall trend of energy changes over longer periods, non-modal analysis reveals the instantaneous dynamics of the disturbance energy. This approach enables the identification of transient growth mechanisms that are otherwise undetectable using modal methods, which treat disturbance waves as independent and fail to account for their coupling effects. The results demonstrate that non-modal analysis effectively quantifies the interplay between disturbance waves, capturing the nonlinearity inherent in transient energy growth. This method highlights the short-term amplification of disturbances, providing a more accurate understanding of jet flow stability. Furthermore, the impact of dimensionless parameters such as the Reynolds number, Weber number, and initial wave number on transient energy growth is systematically analyzed. Key findings reveal the optimal conditions for maximizing energy growth and elucidate the mechanisms driving these phenomena. By integrating non-modal analysis, this study advances the theoretical framework of transient energy growth, offering new insights into jet flow stability and paving the way for practical improvements in fluid dynamic systems.https://www.mdpi.com/2226-4310/11/12/985transient growthnon-modal analysiscylindrical liquid jetinstability |
| spellingShingle | Dongqi Huang Qingfei Fu Lijun Yang Transient Energy Growth in a Free Cylindrical Liquid Jet Aerospace transient growth non-modal analysis cylindrical liquid jet instability |
| title | Transient Energy Growth in a Free Cylindrical Liquid Jet |
| title_full | Transient Energy Growth in a Free Cylindrical Liquid Jet |
| title_fullStr | Transient Energy Growth in a Free Cylindrical Liquid Jet |
| title_full_unstemmed | Transient Energy Growth in a Free Cylindrical Liquid Jet |
| title_short | Transient Energy Growth in a Free Cylindrical Liquid Jet |
| title_sort | transient energy growth in a free cylindrical liquid jet |
| topic | transient growth non-modal analysis cylindrical liquid jet instability |
| url | https://www.mdpi.com/2226-4310/11/12/985 |
| work_keys_str_mv | AT dongqihuang transientenergygrowthinafreecylindricalliquidjet AT qingfeifu transientenergygrowthinafreecylindricalliquidjet AT lijunyang transientenergygrowthinafreecylindricalliquidjet |