Footprint analysis: A closed analytical solution based on height-dependentprofiles of wind speed and eddy viscosity

Based on the theoretical background of existing models for the crosswind-in tegrated footprint, a new model is presented, which, in contrast to the exi sting models, describes the normalized footprint by a closed analytical for mula. This was made possible by using well-known power profiles for wind sp eed and eddy viscosity instead of Monin-Obukhov based profiles at a certain stage of model development. However, the major difference between the new model and the existing models is that the so-called shape parameter of vert ical plume dispersion, a function of upwind distance in the existing models , is set constant in the new model in order to circumvent a formal inconsis tency found in the derivation of the existing models. Due to this inconsist ency, the existing models do not generally satisfy the fundamental conditio n that the cumulative normalized footprint must approach unity for the upwi nd distance tending towards infinity.