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Diffusion from a Circular Stoma through a Boundary Layer: A FIELD-THEORETICAL ANALYSIS.

J R Troyer1

  • 1Department of Botany, North Carolina State University, Raleigh, North Carolina 27650.

Plant Physiology
|August 1, 1980
PubMed
Summary

Gas diffusion from plant stomata is minimally impacted by unstirred boundary layers. Thicker layers (>40x stomatal radius) show negligible flux increase, suggesting wind primarily affects external convection, not boundary layer thickness.

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Area of Science:

  • Plant physiology
  • Atmospheric science
  • Mass transfer

Background:

  • Gas exchange in plants occurs through stomata.
  • An unstirred boundary layer surrounds stomata, potentially affecting diffusion.
  • Understanding this layer's impact is crucial for plant-atmosphere interactions.

Purpose of the Study:

  • To theoretically analyze gas diffusion from a single circular stoma.
  • To quantify the effect of an unstirred boundary layer of finite thickness.
  • To determine the influence of boundary layer thickness on diffusion flux.

Main Methods:

  • Mathematical modeling of gas diffusion.
  • Utilizing an analogous solution from electrostatic physics (Kuz'min, 1972).
  • Assuming constant gas concentration across the stoma and a stirred atmosphere.

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Main Results:

  • Diffusion flux increases by less than 1% when the boundary layer is >40 times the stomatal radius.
  • Linear approximation of diffusion flux is generally accurate for realistic dimensions.
  • The boundary layer's thickness has a limited impact on diffusion flux.

Conclusions:

  • The unstirred boundary layer has a minor effect on stomatal gas diffusion under specific conditions.
  • Wind's primary influence on mass exchange may be via external convection, not boundary layer thickness.
  • Simplified models assuming linear diffusion may be sufficient for many plant-atmosphere exchange studies.