An Introduction to Dynamic Meteorology by James R. Holton & Gregory J. Hakim

Author:James R. Holton & Gregory J. Hakim
Language: eng
Format: epub, pdf
Publisher: Elsevier Inc.
Published: 2012-10-18T16:00:00+00:00

(8.28)

Integrating with respect to z yields the logarithmic wind profile:

(8.29)

where z0, the roughness length, is a constant of integration chosen so that at z = z0. The constant k in (8.29) is a universal constant called von Karman’s constant, which has an experimentally determined value of k ≈ 0.4. The roughness length z0 varies widely depending on the physical characteristics of the surface. For grassy fields, typical values are in the range of 1 to 4cm. Although a number of assumptions are required in the derivation of (8.29), many experimental programs have shown that the logarithmic profile provides a generally satisfactory fit to observed wind profiles in the surface layer.

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