TITLE:
Hans A. Panofsky’s Integral Similarity Function—At Fifty
AUTHORS:
Gerhard Kramm, Dillon J. Amaya, Thomas Foken, Nicole Mölders
KEYWORDS:
Profile Functions; Monin-Obukhov Scaling; Prandtl-Obukhov-Priestley Scaling; Local Similarity Function; Integral Similarity Function; Obukhov Number; Gradient Richardson Number; Flux Richardson Number
JOURNAL NAME:
Atmospheric and Climate Sciences,
Vol.3 No.4,
October
21,
2013
ABSTRACT: Fifty years ago, Hans A. Panofsky
published a paper entitled Determination
of stress from wind and temperature measurements. In his famous paper, he presented a new profile function for the
mean horizontal wind speed under the condition of diabatic stratification that
includes his integral similarity function. With his integral similarity
function, he opened the door for Monin-Obukhov scaling in
a wide range of micrometeorological and microclimatological applications. In a
historic survey ranging from the sixties of the past century down to the
present days, we present integral similarity functions for momentum, sensible
heat, and water vapor for both unstable and stable stratification, where on the
one hand free convection condition and on the other hand strongly stable
stratification are addressed.