Propagation of shock wave of nitrogen gas in Titan stratosphere

Abstract

Nitrogen gas is considered one of the significant standard gases in stratosphere of Titan, Saturn's largest moon, which represents almost 98.4% of Titan atmosphere chemical composites. Hydrodynamics fluid model has been constructed to describe the Nitrogen gas flows in the inner part of the Titan stratosphere. Using Fourier analysis, the linear dispersion relation of the fluid equations has been derived. Exploration of the resultant dispersion relation elucidated that two independent phenomena occurred simultaneously. Moreover, the reductive perturbation method has been utilized, yielding Burgers equation. A shock wave enveloped solution has been obtained using the computational F-expansion method. The different effects of thermal conductivity and kinematic viscosity on propagating wave have been studied. They have found to cause dissipation of envelope wave but don't affect the amplitude of envelope wave. Our investigations showed that the dissipation in the enveloped waves caused by thermal conductivity and kinematic viscosity.

Keywords

• titan stratosphere
• navier–stokes
• fourier analysis
• reductive perturbation method
• burger's equation
• a generalized f-expansion method