Abstract
Flux-profile relationships based on surface-layer similarity theory are used to derive relationships between the Monin-Obukhov stability parameter ξ = z/L and the bulk Richardson number Ri b . In contrast to previous studies, the roughness length for heat, z 0h ,is assumed unequal to the roughness length for momentum, z 0m .For the stable case, an analytic expression of ζ in terms of Ri b can be derived and in the unstable case, the solution is obtained through a simple iterative process.
Errors introduced from the simplification of z 0h = z 0m are evaluated and are shown to be very significant in most cases. Thus, this error in many practical applications may invalidate the intended solution.
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Kou-Fang Lo, A. On the role of roughness lengths in flux parameterizations of boundary-layer models. Boundary-Layer Meteorol 80, 403–413 (1996). https://doi.org/10.1007/BF00119425
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DOI: https://doi.org/10.1007/BF00119425