On the Integral of the Surface Layer Profile-Gradient Functions

Abstract

New forms of the exact primitives (Nickerson and Smiley, 1975) for the Businger et al. (1971) surface layer gradients are described for the unstable case. In addition to all the theoretical advantages of the Nickerson and Smiley solution, the new formulas do not suffer from a numerical divergence problem which so far has hindered the free use of the exact primitives for the slightly unstable case.