In spray application contexts, plant leaves are bent and twisted upon droplet impact, which has a significant impact on the droplet’s impact behavior and its deposition effect on the leaves. This study examines the impact behavior of droplets on flexible pepper leaves and develops a mathematical model for droplet spreading and rebound, integrating the effects of leaf bending and torsion via energy conservation and cantilever beam theory. The energy required for leaf bending and twisting due to droplet impact was estimated in accordance with Hooke’s law. The droplets attained their maximum spreading diameter 4 ms post-impact on flexible pepper leaves, with droplet retraction occurring significantly faster on flexible leaves than on rigid ones, resulting in a return to steady state in half the duration required by rigid leaves. This study aims to establish a scientific foundation for optimizing pesticide application strategies and selecting parameters for spraying equipment in pepper production.

Contact electrification has attracted interest as a mechanism for generating electrical charges on surfaces. To explore the factors contributing to electrification by droplets impacting the leaf surface, high-speed image capture and current measurements were used to quantitatively characterize the electrical response under different droplet parameters and leaf surface conditions. Upon impact and rebound from the leaf surface, neutral droplets acquire a positive charge. While this electrification phenomenon has been observed previously, there has been limited understanding of the parameters influencing the extent of droplet charging. In this study, we examine the effects of four parameters (droplet size, impact velocity, droplet ion concentration, and various leaf surfaces) on the electrical response signal. The results indicate that this electrification phenomenon is contingent upon the droplet–leaf contact area and droplet ion concentration. We propose a theoretical model based on the electric double layer to elucidate the electrification process.

Crop leaves naturally exhibit a curved morphology and primarily display bending deformation and vibrational responses under wind load. The curved surface structure of leaves plays a critical role in the deposition and retention of pesticide droplets. In this study, wind tunnel experiments combined with high-speed photography and digital image analysis were conducted to systematically investigate the curvature and flexibility distributions of three typical crop leaves: walnut, peach, and pepper, across a range of wind speeds. The results indicate that with increasing wind speed, all three types of leaves gradually transition from smooth, uniform bending to a multi-peak pattern of pronounced local curvature, with increasingly prominent nonlinear deformation characteristics. Moreover, once the wind speed exceeds the critical threshold of 6 m/s, the primary deformation region generally shifts from the leaf base to the tip. For example, the maximum curvature of walnut leaves increased from 0.018 mm⁻¹ to 0.047 mm⁻¹, and that of pepper leaves from 0.031 mm⁻¹ to 0.101 mm⁻¹, both more than double their original values. In addition, all three types of leaves demonstrated a distinct structural gradient characterized by strong basal rigidity and high apical flexibility. The tip flexibility values exceeded 1.5 × 10⁻⁵, 4 × 10⁻⁴, and 5.6 × 10⁻⁴ mm⁻²·mN⁻¹ for walnut, peach, and pepper leaves, respectively. These findings elucidate the mechanical response mechanisms of non-uniform flexible crop leaves under wind-induced bending and provide a theoretical basis and data support for the optimization of air-assisted spraying parameters.

Electrostatic droplets can enhance deposition on target leaves. To comprehensively investigate the main factors affecting droplet adhesion and splashing after electrostatic droplet impact on pepper leaves, a specialized experimental platform was developed to capture the impact behavior of charged droplets on pepper leaves. The following four variables were examined: the applied voltage of the electrode ring, droplet size, impact velocity, and the relative distance from the impact point to the leaf tip (expressed as a percentage of the total leaf length). The results showed that all four factors had significant effects on droplet adhesion. The effect sizes (partial η²) of the four factors, in descending order, were impact velocity (0.935), applied voltage (0.907), impact position (0.895), and droplet size (0.505). Compared with non-electrostatic droplets, the increase in the maximum spreading factor of charged droplets was positively correlated with droplet size, impact velocity, and applied voltage but showed no significant correlation with the relative distance to the leaf tip. The critical velocity for splashing of electrostatic droplets decreased to a certain extent but increased with higher applied voltages. The influence of the four factors on droplet splashing decreases in the following order: impact velocity (odds ratio ≫ 1), charging voltage (odds ratio = 1.246), droplet size (odds ratio = 1.023), and impact position (odds ratio < 1). Among these, impact velocity has the most significant effect on splashing behavior. This study reveals the adhesion and splashing mechanisms of electrostatic droplets on flexible pepper leaves, providing theoretical support for the design of electrostatic spraying systems and the selection of operational parameters. The findings offer a scientific basis for optimizing droplet deposition, minimizing splash losses, and improving application efficiency in precision spraying.

Studying the wettability of plant growth regulators on crop leaf surfaces is essential for enhancing crop yield. In this study, the wetting behavior of the plant growth regulator 28-homo-brassinolide (28-HB), supplemented with different surfactants, was investigated on the adaxial and abaxial surfaces of pepper leaves at the seedling, early flowering, and fruiting stages. The microstructure of the leaf surface was characterized using an ultra-depth field microscope. The surface free energy (SFE) of the leaves was calculated using the Owens-Wendt-Rabel-Kaelble (OWRK) method. Additionally, the surface tension of the 28-HB solutions containing various surfactants, as well as the contact angles on pepper leaves at different growth stages, were measured. The experimental results indicate that the surface free energy (SFE) of pepper leaves significantly decreases with plant maturation. Specifically, the SFE of the adaxial leaf surface declined from 43.4 mJ/m² at the seedling stage to 26.6 mJ/m² at the fruiting stage, while the abaxial surface decreased from 27.5 mJ/m² to 22.5 mJ/m². At all growth stages, the relative polar component (R_P) of the adaxial surface was consistently higher than that of the abaxial surface and showed a gradual decline from 94.70% to 57.34% as development progressed. The contact angle measurement showed that the addition of surfactant decreased the contact angle of 28-HB on the leaf surface and increased the wetting area. Among the tested formulations, the addition of fatty alcohol ethoxylates (AEO-9) significantly reduced the contact angle to below 45°, and resulted in an adhesion tension below 30 mN/m and adhesion work lower than 105 mJ/m². These values indicate superior wetting performance compared to formulations containing sodium dodecyl sulfate (SDS) and cetyltrimethylammonium bromide (CTAB). This study integrates the surface free energy characteristics of pepper leaves at different growth stages with the wetting performance of various surfactant systems, providing a quantitative basis for the selection and optimization of surfactants in agricultural spray formulations. The findings offer theoretical support for precise pesticide application strategies, enhancing pesticide adhesion and absorption on leaf surfaces, thereby improving pesticide utilization efficiency throughout the crop growth cycle.

Investigating the dynamic response of pepper leaves at different growth stages under droplet impact is of great significance for optimizing spray deposition processes. In this study, high-speed imaging combined with mechanical modeling was employed to systematically analyze the inclination angle variation and bending deformation behavior of pepper leaves at the seedling, flowering, and fruiting stages under droplet impact. The temporal evolution of petiole inclination angle and leaf blade inclination angle under different impact velocities and impact positions was investigated, and the energy transfer mechanism of bending energy during droplet impact was quantitatively analyzed. The results showed that pepper leaves exhibited a typical damped oscillation response after droplet impact. As the droplet impact velocity increased, the degree of leaf deformation increased significantly and the vibration duration was prolonged markedly. When the impact velocity increased from 0.89 to 1.53 m s⁻¹, the maximum vertical displacement (Δh_max) near the leaf tip increased from 0.8 to 1.9 mm at the seedling stage, from 0.6 to 3.1 mm at the flowering stage, and from 1.2 to 4.5 mm at the fruiting stage. Along the leaf length direction, both the maximum inclination angle variation and vertical displacement gradually increased from the near-petiole region toward the near-tip region because of reduced local stiffness and weaker structural constraints. In contrast, the maximum inclination angle variation generally decreased with increasing growth stage, mainly due to the increase in leaf mass and enhanced structural support. Based on the bending energy model, the conversion of droplet kinetic energy into leaf structural deformation energy was further analyzed. The results demonstrated that the bending energy of leaves increased significantly with increasing droplet impact velocity. When the droplet kinetic energy increased from 3.4 μJ to 8.0 μJ, the maximum bending energy increased from 0.063 μJ to 0.21 μJ. Among different regions, the near-tip area exhibited the highest bending energy response because of its higher flexibility and lower bending stiffness. These findings provide new insights into the interaction mechanism between droplets and flexible leaves and offer a theoretical basis for improving spray deposition efficiency and optimizing spraying strategies for pepper plants at different growth stages.