A Note on Businger’s Derivation of Nondimensional Wind and Temperature Profiles under Unstable Conditions

Abstract

Using heuristic arguments, Businger presented a derivation of the so-called Dyer?Businger formulas for nondimensional wind and temperature profiles. In this note it is shown that by slightly changing this ?derivation,? different expressions are obtained that almost coincide with the original ones for 0 < ?z/L < ?1, but that behave differently in the free-convection region. The new formula for temperature appears to have a correct free-convection behavior; that is, it becomes proportional to (?z/L)?1/3. This note is primarily ?historical? in nature.