Turbulence in the free atmosphere plays a very important role in many aspects of research and life, which can cause the originally stable laminar atmosphere to produce short-term and high-frequency irregular fluctuations (Zhao et al., 2019), which is one of the main drivers of the exchange and transmission of energy and rare gases at different altitudes (Dutta et al., 2009;Fritts et al., 2012;He et al., 2022). In addition, clear air turbulence is the main cause of aircraft bumpiness, which has a huge impact on the aviation sector (Sharman et al., 2006(Sharman et al., , 2012Storer et al., 2019). The turbulent kinetic energy dissipation rate (ε) reflects the rate at which kinetic energy is converted into molecular heat energy, and is an important parameter in numerical models. Thermal convection (