Turbulence dissipation rate derivation for meandering occurrences in a stable planetary boundary layer

A new formulation for the turbulence dissipa- tion rate " occurring in meandering conditions has been pre- sented. The derivation consists of a MacLaurin series expan- sion of a lateral dispersion parameter that represents cases in which turbulence and oscillatory movements associated to the meandering events coexist. The new formulation presents the identical physical premises contained in the classical and largely used one, but the new formulation derived from me- andering situations is expressed in terms of the loop param- eter m that controls the absolute value of the negative lobe in the meandering autocorrelation function. Therefore, the m magnitude regulates the turbulence dissipation rate. This dis- sipation rate decreases for cases in which turbulence and low frequency horizontal wind oscillations coexist and increases for a fully developed turbulence. Furthermore, a statistical comparison to observed concentration data shows that the al- ternative relation for the turbulent dissipation rate occurring in situations of meandering enhanced dispersion is suitable for applications in Lagrangian Stochastic dispersion models. Li ( ) = u 0 (t)u 0 (t + ) u 02 i