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Vergara - 1976 - Physiological and morphological adaptability of ri

Vergara - 1976 - Physiological and morphological adaptability of ri

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126 curt-tyre AND RICE<br />

t<strong>ri</strong>bution. It was found that the systematic decrease <strong>of</strong> energy with increasing<br />

frequency agrees with the negative five-third power law <strong>of</strong> the simila<strong>ri</strong>ty theory‘ <strong>of</strong><br />

turbulence. Figure 6A shows the energy spectra at 1.15 m height (above the canopy)<br />

<strong>and</strong> at 0.2 m height (with the canopy) as plots <strong>of</strong> log (n - S(n)/s ,3) against<br />

1og(n - zfu), xvhere n is the frequency, S(n) is the turbulent energy at the frequency<br />

<strong>of</strong> n. The spectral curves for the 0.2 in height are much more ragged than those<br />

for the 1.15 1n height. <strong>and</strong> have relatively more energy in the dimensionless<br />

frequency range <strong>of</strong>6. 10" to 4 than the spectra for the 1.15 m height. The spectra<br />

for 1.15 m height cont<strong>ri</strong>bute mainly in the range <strong>of</strong> 4.10”- to 4.104 <strong>of</strong> the<br />

dimensionless frequency. The eonsiderahlyj ragged nature <strong>of</strong> the spectra in the<br />

canopy seems to result from the selective absorption <strong>and</strong> addition <strong>of</strong> turbulent<br />

energy at certain characte<strong>ri</strong>stics frequencie by plant elements.<br />

Figure 6A denotes also that the level <strong>of</strong> turbulent energy relating to the i11-<br />

tensity <strong>of</strong> air mixing in the air is considerably‘ less in the canopy" than above the<br />

canopy. implying that the magnitude <strong>of</strong> the turbulent transfer ctiefficient (K)<br />

is diminished in the canopy. The following relation was used to determine the<br />

values <strong>of</strong> K in a <strong>ri</strong>ce canopy (Uchijima. 1962a):<br />

K(z) =<br />

_ (Ridz)<br />

_<br />

Pfiiw ‘t<br />

Jag<br />

where R_(z), dTtdz, <strong>and</strong> dqldz are the net radiation. the vertical gradients <strong>of</strong><br />

air temperature. <strong>and</strong> specific humidity at a height <strong>of</strong> z. respectively‘. J, is the<br />

rate <strong>of</strong> change <strong>of</strong> heat storage in water <strong>and</strong> soil layer. r ,, <strong>and</strong> C, are the density<br />

<strong>of</strong> air <strong>and</strong> specific heat <strong>of</strong> air at constant pressure. <strong>and</strong> 1 is the latent heat <strong>of</strong><br />

vapo<strong>ri</strong>zation. The pr<strong>of</strong>iles <strong>of</strong> K in a <strong>ri</strong>cc canopy evaluated from Eq. (18) are<br />

presented in Fig. 6B. Although the midday values <strong>of</strong> the diffusion coefficient<br />

at the top <strong>of</strong> the crop were nearly three orders <strong>of</strong> magnitude greater than moleeular<br />

diffusion coefficients, K decreased very rapidly to a value <strong>of</strong>the one order<br />

<strong>of</strong> molecular diffusion coefficient near the water surface beneath the canopy.<br />

The daytime extinction <strong>of</strong> K was expressed as a function <strong>of</strong>hcight as follows:<br />

m) = :¢>

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