The various and practical methods of determining the zero-plane displacement height,
d, were examined by using wind profiles, which were measured in the constant flux layer under the conditions of neutral stability, and by using the friction velocities,
u*, measured by the eddy correlation method.In these methods, the two empirical equations of the power function of elevation,
z, and the second-order polynominals in ln (
z) were used to fit to measured wind profiles.The value of
d was determined from the logarithmic wind profile law by using approximated wind velocities with the empirical equations.The results obtained are summarized as follows:
1) If wind velocities were measured with cup anemometers over a field, then the appropriate value of
d could be determined at
k=0.39 by using approximated wind velocities with the power function, where
k is von Karman's constant. On the other hand, the appropriate value of d could be determined at
k=0.35 by using approximated wind velocities with both empirical equations. These two values of
d determined here did not agree to each other.
2) If wind velocities were measured with high accuracy, then the appropriate value of
d could be determined by the methods applied in 1).The appropriate value of
d could be also determined from the logarithmic law by using approximated wind velocities with the second-order polynominals in ln (
z), or by using measured wind velocities.These four values of
d determined here fairly closely agreed to one another.
3) When the previously proposed flux-profile relationships for wind and others with
k=0.4 or 0.35 are extended to a flow over a tall canopy, the value of d can be determined by the respective methods with
k=0.39 or 0.35 as shown above.
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