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Modelling water droplet movement on a leaf surface

Author

Listed:
  • Oqielat, Moa’ath N.
  • Turner, Ian W.
  • Belward, John A.
  • McCue, Scott W.

Abstract

Modelling droplet movement on leaf surfaces is an important component in understanding how water, pesticide or nutrient is absorbed through the leaf surface. A simple mathematical model is proposed in this paper for generating a realistic, or natural looking trajectory of a water droplet traversing a virtual leaf surface. The virtual surface is comprised of a triangular mesh structure over which a hybrid Clough–Tocher seamed element interpolant is constructed from real-life scattered data captured by a laser scanner. The motion of the droplet is assumed to be affected by gravitational, frictional and surface resistance forces and the innovation of our approach is the use of thin-film theory to develop a stopping criterion for the droplet as it moves on the surface. The droplet model is verified and calibrated using experimental measurement; the results are promising and appear to capture reality quite well.

Suggested Citation

  • Oqielat, Moa’ath N. & Turner, Ian W. & Belward, John A. & McCue, Scott W., 2011. "Modelling water droplet movement on a leaf surface," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(8), pages 1553-1571.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:8:p:1553-1571
    DOI: 10.1016/j.matcom.2010.09.003
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    Cited by:

    1. Dorr, Gary J. & Kempthorne, Daryl M. & Mayo, Lisa C. & Forster, W. Alison & Zabkiewicz, Jerzy A. & McCue, Scott W. & Belward, John A. & Turner, Ian W. & Hanan, Jim, 2014. "Towards a model of spray–canopy interactions: Interception, shatter, bounce and retention of droplets on horizontal leaves," Ecological Modelling, Elsevier, vol. 290(C), pages 94-101.

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