A Model for the Dynamics of the Inversion Above a Convective Boundary Layer Tennekes, 1973 http://4.bp.blogspot.com/_8mGPb-78_H0/SX9wgrkg77I/AAAAAAAAAG4/XZyaJgV4Reo/s400/Inversion+-+Alta+2009.JPG SIO 209: Temp Inversions Melanie Zauscher Overview Problem: current (1973) models do not predict how capping inversion height and strength change in time Goal: create a transient model of inversion height and strength http://www.mfe.govt.nz/issues/air/breathe/increase.html Major Contributions: model of inversions and description of daily evolution of boundary layer Temperature Inversion Entrainment Historical Background Inversion Strength Relevant Equations Evolution of Boundary Layer Morning Transient Morning Convection Afternoon Convection Morning Transient: Winter vs Summer In winter Δ may not decrease enough for entrainment to occur and increase h, so pollutants may accumulate for days Black Tuesday in St Louis 11/28/1938 lasted 9 days Great London Smog of 12/5/1952 lasted 4 days No Lapse Rate Above Inversion No Lapse Rate Above Inversion and No Surface Heat Flux No Initial Inversion Strength and No Surface Heat Flux Impact of Paper For the first time the daily evolution of BL is described by differential equations Tennekes, 1973 has been cited 441 times in various fields: meteorology, oceanography, ecology, environmental science, water resources, forestry, earth sciences Assumptions for Tennekes's Model Horizontally homogeneous Radiation is negligible No water present – so no release of latent heat Can replace θv for θ Air above inversion is stable dθ/dz ≠ dθ/dz (z, t) <θ'w'> proportional to z