Influence of temperature-dependent density inhomogeneity on the stability of atmospheric stratified fluids
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914858939711488 |
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| author | Kaladze, T. D. Misra, A. P. |
| author_facet | Kaladze, T. D. Misra, A. P. |
| contents | The stability of atmospheric stratified fluids is revisited to study the influence of the temperature-dependent density inhomogeneity due to thermal expansion in the Earth's lower atmosphere (with heights $0$ to $50$ km) under the action of gravity. Previous theory in the literature [Phys. Lett. A 480 (2023) 128990] is modified and advanced. It is found that the Brunt-V{ä}is{ä}l{ä} frequency associated with internal gravity waves is modified, leading to new instability conditions of vertically stratified fluids. The possibility of the onset of Rayleigh-B{é}nard convective instability is also discussed, and the influences of the modified Brunt-V{ä}is{ä}l{ä} frequency and the density and temperature gradients on the instability growth rates are studied. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_10008 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Influence of temperature-dependent density inhomogeneity on the stability of atmospheric stratified fluids Kaladze, T. D. Misra, A. P. Atmospheric and Oceanic Physics Fluid Dynamics Space Physics The stability of atmospheric stratified fluids is revisited to study the influence of the temperature-dependent density inhomogeneity due to thermal expansion in the Earth's lower atmosphere (with heights $0$ to $50$ km) under the action of gravity. Previous theory in the literature [Phys. Lett. A 480 (2023) 128990] is modified and advanced. It is found that the Brunt-V{ä}is{ä}l{ä} frequency associated with internal gravity waves is modified, leading to new instability conditions of vertically stratified fluids. The possibility of the onset of Rayleigh-B{é}nard convective instability is also discussed, and the influences of the modified Brunt-V{ä}is{ä}l{ä} frequency and the density and temperature gradients on the instability growth rates are studied. |
| title | Influence of temperature-dependent density inhomogeneity on the stability of atmospheric stratified fluids |
| topic | Atmospheric and Oceanic Physics Fluid Dynamics Space Physics |
| url | https://arxiv.org/abs/2404.10008 |