When dealing with the general problem of turbulence there are several theoretical and practical related problems: the generation (origin) of fluid fluctuations (real eddies and mathematical vorticity), the turbulent transfer of kinetic energy, heat and mass, drag resistance, clean-air fluctuations, hurricanes and tornadoes, atmospheric circulation and plumes, and other natural or human-induced phenomena. We are tempted by the intent to formulate a unified approach, where turbulence is the general feature of these problems. We attempt here to draw some connections between the theoretical turbulence modeling and the experimental results interpreted using such models and the reality of large-scale natural events strongly related to anthropogenic climate changes, such as heatwaves and the cooling effect of aerosols. In fact we believe that more sophisticated practical results could be drawn from connecting theoretical turbulence studies to natural real phenomena, especially those under the influence of climate change. The mathematical modeling aimed at increasing predictability did not produce yet a fundamental breakthrough in the understanding of turbulence. In dealing with real turbulent flows we constantly rely on phenomenological approaches. To date, the large-scale spatio-temporal characteristics of turbulence has yet to be fully understood, due to the lack of sufficient in situ detection instruments in the atmosphere. As such, there is much room for improvement in turbulence-related parameterizations in global weather and climate prediction models. Short presentations of the heatwaves and cooling effect of aerosols are considered from the point of view that the study of weather data and the use of statistical modeling should be coupled with the fundamental studies on the fluid dynamics features of turbulence which play the primary role in the atmospheric circulation and thus in weather and climate changes.