Abstract
To understand the mechanism of how a droplet of pesticide, nutrient or water is imbibed via the leaf surface, a simple model-based mathematics for simulating a realistic water droplet motion over the artificial leaf surface is introduced. The preliminary object of this model is to reconstruct the leaf surface, so an interpolation finite element method so-called hybrid Clough–Tocher (CT) radial basis function (RBF) with a cubic polynomial (CT-MRBFC) is proposed recently by the authors [1] for this purpose. The surface consists of a triangular element over which the method of CT-MRBFC is applied. In the presented droplet motion model, the forces that influenced the motion are supposed to be the internal force due to the drag force and external force caused by gravity. As outcomes of the proposed model, the droplet model captures realism fairly well and generates a genuine motion over the surface. More significantly, the droplet movements pursue the surface contours and falls from the leaf mesh depending on the model parameters. Furthermore, the droplet height is computed over every triangle and the droplet is vanished or stopped moving if a set tolerance is greater than the droplet height
Highlights
Modeling and simulating a droplet motion on the leaf structure are significant research module of plant spray retention
We proposed in this paper a single droplet model to simulate the droplet motion over the leaf surface
If the time frame is greater than the transit time, and the droplet height is greater than the tolerance (κ = 10−5), transfer the droplet to the following element
Summary
To understand the mechanism of how a droplet of pesticide, nutrient or water is imbibed via the leaf surface, a simple model-based mathematics for simulating a realistic water droplet motion over the artificial leaf surface is introduced. The preliminary object of this model is to reconstruct the leaf surface, so an interpolation finite element method so-called hybrid Clough–Tocher (CT) radial basis function (RBF) with a cubic polynomial (CT-MRBFC) has recently been proposed by the authors [1] for this purpose. The surface consists of a triangular element over which the method of CT-MRBFC is applied. As outcomes of the proposed model, the droplet model captures realism fairly well and generates a genuine motion over the surface. The droplet movements pursue the surface contours and falls from the leaf mesh depending on the model parameters.
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