Making use of the informations about the characteristics both geometrical and dynamical of the predominant turbulons which give rise to the waving plants phenomena (“HONAMI”) over cultivated fields such as rice and wheat field, several turbulent diffusion phenomena of particles such as smoke and agricultural chemicals over these fields are theoretically dealt with.
The scale ∧ and the velocity
V of the predominant or the coupling turblon are related to the measuring height, the zeroplane displacement, the roughness parameter and the mean wind velocity. Two parameters characterizing the turbulent diffusion phenomena are introduced as the life-time τ=∧/
V and the turbulent diffusion coefficient
K=∧
V=τ
V2. The dependence of these two parameters upon the mean wind velocity is considered, in particular being taken the dependence of both ∧ and
V upon the mean wind velocity into account, and it is made clear that the diffusion starts to predominate at the critic al wind velocity of the waving plants phenomena.
Three dimensional scales of the predominant turbulon are considered and the remarkable differences in the life-times of predominant turbulon with respect to the directions, longitudinal, transversal and vertical, are pointed out. In particular, the longitudinal life-time is shown to be nearly eight times those in other two directions. One of the earlier results of smoke puff experiments extended over sea surface is made use of being compared to this theoretical anticipation, in which the longitudinal elongation of smoke puff is much predominant and the rate of elongation is in accord with the theoretical result based on the modern similarity hypotheses, i. e., the length of smoke puff increases in proportion to the three-halves power of the diffusion time.
The contributions of larger scale turbulons besides those of the coupling turbulons are dealt with, too. The scale ∧
l and the velocity
Vl of the larger turbulon are shown both in proportion to the-wind velocity at the measuring height. Near the ground surface usually the life-time
τl of larger turbulon is shown independent of the height and much larger than the life-time τ of coupling turbulon. The meandering phenomenon of a smoke plume is attributed to the occasional contribution of these larger scale turbulons.
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