Attenuation of acoustic-gravity waves based on modified Navier-Stokes and heat transfer equations

1Fedorenko, AK, Kryuchkov, EI, 1Cheremnykh, OK
1Space Research Institute under NAS and National Space Agency of Ukraine, Kyiv, Ukraine
Kinemat. fiz. nebesnyh tel (Online) 2020, 36(5):15-30
Start Page: Dynamics and Physics of Bodies of the Solar System
Language: Ukrainian

Based on modified Navier-Stokes and heat transfer equations, attenuation of acoustic- gravity waves is studied within the framework of dissipative isothermal atmosphere model. In addition to usually considered velocity gradient, the modification of these equations consists in taking into account the additional transfer of momentum and energy caused by AGWs due to the density gradient. This leads to appearance of additional terms in hydrodynamic equations of motion and heat transfer. Under these assumptions, the local dispersion equation of acoustic-gravity waves in an isothermal dissipative atmosphere is obtained, as well as the expression for damping decrement in time. In limiting cases of high frequencies (sound waves) and low frequencies (gravitational waves), the nature of the attenuation allows a clear physical interpretation. The features of time attenuation of various types of evanescent acoustic-gravity modes are also considered including Lamb waves and Brent-Väisälä oscillations.

Keywords: acoustic-gravity wave, atmosphere, molecular viscosity, thermal conductivity

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