Attenuation of evanescent acoustic-gravity modes in the Earth thermosphere
| 1Cheremnykh, OK, 1Fedorenko, AK, Kryuchkov, EI, Vlasov, DI, 1Zhuk, IT 1Space Research Institute under NAS and National Space Agency of Ukraine, Kyiv, Ukraine |
| Kinemat. fiz. nebesnyh tel (Online) 2021, 37(5):3-17 |
| https://doi.org/10.15407/kfnt2021.05.003 |
| Start Page: Dynamics and Physics of Solar System Bodies |
| Язык: Ukrainian |
Аннотация: The damping of the acoustic-gravity non-divergent f-mode and inelastic γ-mode in the Earth's upper atmosphere due to viscosity and thermal conductivity was studied.We used the system of hydrodynamic equations including modified Navier-Stokes and heat transfer equations to analyze the damping. The contribution of the background density gradient to the transfer of energy and momentum by waves are taken into account in these modified equations. Dispersion equations for f- and γ-modes in an isothermal dissipative atmosphere are obtained. We have shown that viscosity and thermal conductivity insignificantly affect the frequency shift of these modes under typical thermosphere conditions. Expressions for the damping decrements of the f- and γ-modes are obtained. It was found that the damping decrement of the γ-mode exceeds the corresponding decrement of the f-mode by almost an order of magnitude in the terrestrial thermosphere. Also it was found that the f-mode damping isn't depended on thermal conductivity but is due only to dynamic viscosity. Moreover, the f-mode damping increases with an increase in the relative contribution of bulk viscosity. The dissipation of the γ-mode is caused by dynamic viscosity and thermal conductivity and isn't depended on the bulk viscosity. We considered the time variation of the perturbation amplitudes for the f- and γ-modes at different heights of the thermosphere. The characteristic decay times of the f- and γ-modes at different heights depending on the wavelength, as well as at different levels of solar activity were obtained. We have determined the boundary heights in the thermosphere above which the f- and γ-modes cannot exist due to dissipation. |
| Ключевые слова: acoustic-gravity wave, atmosphere, evanescent wave mode, molecular viscosity, thermal conductivity |
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