Modelling water droplet movement on a leaf surface
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.
Year of publication: |
2011
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Authors: | Oqielat, Moa’ath N. ; Turner, Ian W. ; Belward, John A. ; McCue, Scott W. |
Published in: |
Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 81.2011, 8, p. 1553-1571
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Publisher: |
Elsevier |
Subject: | Mathematical modelling | Surface fitting | Thin-film approximation | Clough–Tocher method | Radial basis function method |
Saved in:
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