On the validity of the Navier-Stokes equations for thermosphere dynamics calculations

Statistics – Computation

Scientific paper

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Atmospheric Models, Computational Fluid Dynamics, Ionic Collisions, Navier-Stokes Equation, Stress Tensors, Thermosphere, Graphs (Charts), Heat Transmission, Tables (Data), Temperature Gradients, Transport Properties, Viscous Flow

Scientific paper

The validity of using the Navier-Stokes approximation for the viscous stress tensor and heat flow vector in global thermospheric flow situations was studied. The approach employed was based on the complete 13-moment system of transport equations, which is applicable to both collision-dominated and collisionless flows. It was found that the classical Navier-Stokes expression for heat flow is valid at all altitudes, i.e., the heat flow is proportional to the neutral temperature gradient. However, the Navier-Stokes expression for the stress tensor is not valid above about 400 km for the off-diagonal elements and above 150 km for the diagonal elements due to the direct effect of heat flow on stress. Nevertheless, the corrections to the Navier-Stokes stress tensor expressions have less than a 10% effect on the wind speed for a wide range of thermospheric conditions.

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