A Statistical Derivation of the Fundamental Equations for the Relaxed Eddy Accumulation Method and the Properties of the b Coefficient

Abstract

We expressed the vertical flux of a scalar quantity in terms of the conditional expectation of the scalar concentration for given vertical wind velocity, and also gave a general expression of Businger coefficient b in REA method on the basis of a polynomial expression for the conditional expectation. Then we estimated the values of the b coefficient for several cases of the conditional expectation and the vertical wind distributions.