| Modal and non-modal stability for Hagen-Poiseuille flow with non-ideal fluid | |
Zheng, Congren1; Chen, Yong2; Ding ZJ(丁子敬)1,3
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| Corresponding Author | Chen, Yong([email protected]) ; Ding, Zijing([email protected]) |
| Source Publication | PHYSICS OF FLUIDS
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| 2024-08-01 | |
| Volume | 36Issue:8Pages:17 |
| ISSN | 1070-6631 |
| Abstract | Modal and non-modal stability analyses are applied to Hagen-Poiseuille flow with a non-ideal fluid. The non-ideal fluid is defined as a fluid close to its vapor-liquid critical point. In this region, properties of the fluid deviate significantly from the assumptions of the ideal gas model. In this paper, the specific example of CO2 near the critical point is taken as a non-ideal fluid. We studied fluids at supercritical pressure and different wall temperatures so that the centerline temperatures can be lower, equal, and higher than the pseudo-critical temperature. Flow instability is characterized by the Reynolds number, and the product of the Prandtl and Eckert numbers. In modal stability analysis, we observe that there is no unstable mode in Hagen-Poiseuille flow with a non-ideal fluid. Regarding the growth rate, as the axial wavenumber increases, another mode becomes the least stable. The non-modal theory is employed to investigate the optimal response to harmonic external force and transient energy growth. The influence of axial and azimuthal wave numbers, Prandtl and Eckert numbers, and thermodynamic states are also taken into account. In this study, we identify an generalized inflection point in the transcritical base profile, causing the transcritical state to be the most unstable. In non-modal instability, we observe that the optimal response mainly occurs at time invariant axisymmetric disturbance. This suggests that the axisymmetric disturbance could potentially initiate the transition to turbulence. |
| DOI | 10.1063/5.0205600 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001284968500009 |
| WOS Keyword | BULK VISCOSITY ; TURBULENCE ; GROWTH |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Project | National Natural Science Foundation of China10.13039/501100001809[52072408] ; National Natural Science Foundation of China |
| Funding Organization | National Natural Science Foundation of China10.13039/501100001809 ; National Natural Science Foundation of China |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Chen, Yong ; Ding, Zijing |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/96302 |
| Collection | 微重力重点实验室 |
| Affiliation | 1.Harbin Inst Technol, Sch Energy Sci & Engn, Harbin, Peoples R China; 2.Chengdu Fluid Dynam Innovat Ctr, Chengdu, Peoples R China; 3.Chinese Acad Sci, Inst Mech, Beijing, Peoples R China |
| Recommended Citation GB/T 7714 | Zheng, Congren,Chen, Yong,Ding ZJ. Modal and non-modal stability for Hagen-Poiseuille flow with non-ideal fluid[J]. PHYSICS OF FLUIDS,2024,36,8,:17.Rp_Au:Chen, Yong, Ding, Zijing |
| APA | Zheng, Congren,Chen, Yong,&丁子敬.(2024).Modal and non-modal stability for Hagen-Poiseuille flow with non-ideal fluid.PHYSICS OF FLUIDS,36(8),17. |
| MLA | Zheng, Congren,et al."Modal and non-modal stability for Hagen-Poiseuille flow with non-ideal fluid".PHYSICS OF FLUIDS 36.8(2024):17. |
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