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09.5.0: Dynamic Meteorology: Scale Analysis: The Mass Continuity Equation

This is a selection and collection of lectures in Dynamic Meteorology. I consider scale analysis one of the most important skills for dynamic meteorology, science, and, in fact, it is a useful life skill. How do I quickly analyze a situation and compare one thing to another? In this lecture, the continuity equation is scaled for large-scale, rotating flows at middle latitudes. We arrived in the previous lectures at a situation where we have the geostrophic and hydrostatic balance largely define the flow. Very powerful. But, we are interested in how the flow changes, and this means investigating the "small" differences from these balances. This lecture shows that the very small vertical motion can be diagnosed from the divergence of the horizontal velocity. We see a link between the horizontal flow at one level being related to the vertical average above and below of, for example, divergence of the wind and the the average temperature (the thickness). A link to the full series is at: https://openclimate.org/course-collec... More about me and my work at https://openclimate.org/ Richard B. (Ricky) Rood