The CO
2 mass transfer problem of the assimilation cell phase of the crop leaf in the gross photosynthesis process was solved by the use of analytical procedures for net photosynthesis in the previous investigation (Komori and Ikemoto, 1999).
The solutions were applied to evaluate the CO
2 gross mass transfer coefficient
kL0, the gross photosynthetic reaction rate constant
k10 and the CO
2 concentration profile
CA(z, t) in the assimilation cell phase with a constant respiration rate
k0 for the case of rice. The summary is as follows:
1) Exact solutions for
CA(z, t), the CO
2 flux
NA0,
kL0 and the gross photosynthetic rate
RAT0 are simplified to Eq. (13) through Eq. (16). These approximate solutions are available to obtain the relation of the CO
2 mass transfer mechanism between the gross and the net photosynthesis in the assimilation celll phase.
2) Equation (22) or Eq. (39) gives the correlation of the gross and the net photosynthesis with the CO
2 mass transfer rate. Equation (22) suggests that
k0 has no influence on the gas phase CO
2 mass transfer coefficient
kG and for the over-all CO
2 mass transfer coefficient, Eq. (39) provides Eq. (40). Moreover, Eqs. (22) and (39) indicate that the graphical method (Komori and Ikemoto, 1999) is appropriate for estimation of
kL and
kG.
3) Figure 3, generated from Eq. (22) or Eq. (39), shows the relationship between
k10 and the net photosynthetic reaction rate constant
k1, and is also the graphical method to estimate
k10 from the net photosynthetic rate
RAT and
k0. Following the analytical discussion of Eq. (21) through Eq. (29) the
k10-
RAT curve in Fig. 3, shows that for assimilation of the crop leaf, the practical gross photosynthesis is biophysically different from the substantial net photosynthesis.
4) In order to quantitatively evaluate the characteristics of the photosynthetic reaction, the assimilation cell effectiveness factor
Ef0 (Bird
et al., 1960; Ohtake, 1963), defined by Eq. (50), was introduced. The
Ef0 curve in Fig. 9 indicates the equilibrium point,
kGb=kGs, the transition point,
kL=
HkG for the CO
2 mass transfer resistance and the terminal point of
RATmax at the maximum
RAT in the region of 0≤
RAT≤
RATmax. In addition,
Ef0 suggests that the photosynthetic reaction is very fast and can be performed near the surface of the assimilation cell phase.
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