Extended closure model for kaimal's isopleths

Abstract

A closure model for the spectral equation of turbulent kinetic energy, in the case of a steady-state and horizontally homogeneous flow in a stably stratified surface boundary layer is developed by use of systematic dimensional analysis. All resulting arbitrary functions that describe transfer mechanisms are subsequently Taylor-expanded in terms of their (small) arguments. This procedure leads to the closure of the system in terms of arbitrary constants which can subsequently be determined by fitting of observational data. The resulting solution is tested through comparison with experimental curves drawn from the Kansas experiment and with a formerly developed model.