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Construction of the inversion model for dielectric properties of citrus nursery stock based on microwave thermal treatment for the prevention and control of citrus Huanglongbing
Transactions of the Chinese Society of Agricultural Engineering 2026, 42(4): 403-412
Published: 28 February 2026
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Microwave thermotherapy can be expected to prevent the citrus Huanglongbing (HLB) in recent years. Yet the excessively long experimental cycles can rely mainly on many seedlings during large-scale application. It is often required to accurately characterize the dynamic distribution in the internal temperature field of the citrus seedlings during microwave heating. In this study, an efficient simulation model was developed for microwave heat treatment. A dielectric inversion model was constructed and then validated for the microwave thermotherapy of citrus seedlings. Firstly, the morphological data were captured from the citrus seedlings. A parameterized three-dimensional (3D) geometric model of the seedlings was constructed using SolidWorks 2025, in order to accurately reproduce the structural features of the leaves, branches, and their topological connections. Subsequently, a coupled "microwave electromagnetic-solid heat transfer" physical field was established to simulate the microwave heating in COMSOL Multiphysics 6.3. The key dielectric properties of the citrus seedling components (leaves and branches) were determined to optimize the microwave energy absorption. The Interior Point OPTimizer (IPOPT) algorithm was also employed for the inverse optimization. The real and imaginary parts of the complex dielectric parameters were iteratively adjusted from the pre-set initial values. The better performance was achieved by minimizing the root mean square error (RMSE) between the simulated temperature curves and the experimentally measured ones. Single-component experiments also validated the reliability of the inverse optimization. In both leaves and branches, the coefficient of determination (R²) between the simulated temperatures and the measurements exceeded 98.4%, while the RMSE was below 3% of the average measured temperature, indicating a high degree of consistency between the simulation and the actual heating. The whole-plant experiments were conducted under different microwave power conditions (150, 250, 350, 450, and 550 W), in order to further verify the applicability of the model to intact citrus seedlings. Temperature monitoring points were arranged at the top, middle, and bottom of the seedlings. The dynamic temperature was then recorded during monitoring. The results showed that the high prediction accuracy was maintained in the power range of 150-450 W: the R2 for all monitoring positions was ≥ 98.5%, and the RMSE was below 3% of the average measured temperature. The actual microwave heating of the whole citrus seedlings was accurately simulated in the power range. Thereby, the temperature range (48-54°C) was required for the HLB pathogen inactivation. Once the microwave power increased to 550 W, significant deviations were observed between the simulated and measured temperatures. There was a rapid rise in the internal temperature of the seedling tissues under high power. Specifically, the molecular thermal motion was intensified to shorten the polarization relaxation time, leading to the nonlinear variations in the real and imaginary parts of the dielectric constant in the current model. Fixed dielectric properties failed to fully capture during this time. The key findings were as follows: 1) The IPOPT inversion of the dielectric parameters exhibited excellent stability, with the relative variation less than 0.5% over three repeated experiments, indicating the reliable input parameters of the model. 2) The coupled multi-physics modeling significantly reduced the consumption of the experimental seedlings. Only 3 seedlings were required at the initial construction stage, where the seedling usage was reduced by more than 90%. The efficiency of parameter optimization was improved with the cost savings, compared with the conventional method. 3) A power-adaptive range (150–450 W) was defined to stably and accurately predict the temperature distribution of citrus seedlings. A precise operational window was provided for the practical application of microwave thermotherapy in HLB control. In summary, this simulation platform can accurately reproduce the dynamic microwave heating of the citrus seedlings. A resource-efficient and scalable tool can offer to optimize the parameters of HLB microwave thermotherapy. The dependency on physical seedlings can be effectively reduced to provide technical support for the green and large-scale promotion of HLB control technologies. Future research should focus on the nonlinear variation of dielectric properties under high power. The high applicability and prediction accuracy can also be required to consider the microstructural heterogeneity (e.g., vascular bundles in leaves and branches).

Issue
Effect of microwave heat treatment in eliminating "Candidatus Liberibacter asiaticus" on periwinkle infected with Citrus Huanglongbing
Transactions of the Chinese Society of Agricultural Engineering 2024, 40(3): 211-218
Published: 15 February 2024
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Citrus Huanglongbing (HLB) is one of the most serious bacterial diseases in the citrus industry. Starch and flavonoids are two organic materials that are associated with HLB affection. Thermotherapy can be effective in eliminating the “Candidatus Ldiberibacter asiaticus” (CLas), the putative pathogen of HLB. However, the previous thermotherapy cannot fully meet the large-scale production, due to the low efficiency, high energy consumption, or with high cost. In this study, a microwave heat treatment was proposed to control the citrus HLB. A systematic investigation was implemented to explore the inhibitory effect of microwave heat treatment on the physiological materials of HLB-affected periwinkle plants. Firstly, a batch of 30-day-old periwinkles seedlings were cultivated and then graft-inoculated in an insect-proof screen house. Secondly, a microwave thermotherapy platform was built preliminarily. A single-factor test was conducted on three microwave parameters, including the rotating speed of the turntable (RST), microwave power (MP), and number of magnetrons (NM). The parameter levels were determined after the orthogonal test, according to the degree of overheating. Thirdly, the orthogonal test of L9(34) was carried out. Range and analysis of variance (ANOVA) were performed on the three indicators i.e., plant overheating degree, temperature range, and activity evaluation. The optimal combination of parameters was determined using the comprehensive balance. Finally, the optimized microwave treatment was used for thermotherapy on HLB-affected periwinkle plants. CLas titers were determined by real-time quantitative PCR. The starch and flavonoid concentrations of the leaves from the treated and untreated plants were detected within 90 days after heat treatment. The results show that: 1) The factor values for the L9(34) orthogonal test were obtained after single factor testing: RST of 10, 15, and 20 r/min, MP of 150, 200, and 250 W, and NM of 2, 3, and 4. The range analysis showed that the MP was the most important influencing factor on heating, followed by NMs, and finally RSP. 2) Combined with the ANOVA, the optimal combination was determined to be MP of 150 W with 3 magnetrons, where the value range of RST was from 15 r/min. The Ct value of infected samples increased from 17.01±0.97 before treatment to 31.91±2.35 at 90 days post-treatment, with the titers of CLas decreased by 99.98% after treatment with the optimized. 3) The previously CLas-infected plants were recovered after heat treatment, compared with the untreated plants, with more new leaves and lateral branches. The contents of starch and flavonoid were gradually recovered to the levels in the healthy control plants. Comparatively, the starch content of healthy samples increased significantly on the day of heating but gradually recovered to normal level. While there was no significant difference in the total flavonoid content. The flavonoid content in the untreated HLB-affected control was lower than that of the healthy control. The flavonoid content continued to increase until died, as time went by. In conclusion, 1) most CLas in periwinkle plants were eliminated to recover the growth conditions of plants into the healthy control level after microwave heat treatment. 2) Microwave heat treatment gradually restored the starch and flavonoid contents of infected samples, compared with the healthy control and the untreated diseased plants. 3) The platform of microwave heat treatment can be effective for pot-growing periwinkle seedlings. The microwave heat treatment is also required for long-term verification with the different conditions in citrus trees in the future. 4) Microwave heat treatment performed the better inhibitory effect on CLas, with the low cost, short treatment cycle, low consumption and high efficiency. It is also expected to achieve large-scale promotion in the field.

Issue
The Dynamic Wetting and Spreading Behavior of Pesticide Droplet on Rice Leaf Surface
Scientia Agricultura Sinica 2024, 57(13): 2583-2598
Published: 01 July 2024
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【Objective】

The objective of this study is to investigate the effects of surface tension, droplet size, and leaf angle on the dynamic wetting and spreading behavior of pesticide droplets on both adaxial and abaxial surfaces of rice leaf, and to provide a basis for realizing the “reduce application and increase efficiency” of rice spraying by regulating the dynamic wetting and spreading behavior of pesticide droplets on the rice leaf surface.

【Method】

A full factorial experiment was designed to investigate the dynamic wetting and spreading behavior of single droplet on both adaxial and abaxial surfaces of rice leaf in this study. The Silwet-408 solutions with surface tension of 21.4, 33.2, and 43.7 mN·m-1 were formulated by adjusting the concentration of Silwet-408 to replace the pesticide solutions. A droplet generator was used to produce the single droplets of 532, 627, 746, 830, and 957 μm. The leaf angles were set as 40°, 65°, and 85°.

【Result】

There were significant effects of surface tension, droplet size, and leaf angle on the rate of change of droplet contact angle on the rice leaf surface (P<0.05), and the overall trend of the influences on the adaxial and abaxial surfaces was basically the same; increasing leaf angle or reducing droplet size or lowering surface tension could increase the rate of change of contact angle and promote the wetting and spreading of droplet. Among them, the effect of lowering surface tension was the most significant. When the surface tension was decreased from 33.2 to 21.4 mN·m-1, which was close to the critical surface tension of rice leaf surface, the rate of change of the contact angle (advancing contact angle and receding contact angle) increased by 7.49 and 6.22 times for the adaxial surface, and 11.13 and 7.61 times for the abaxial surface, and the wettability of the droplets was changed from relatively poor or poor (80°≤contact angle<100° or contact angle≥100°) to medium or positive (60°≤contact angle<80° or contact angle<60°) within 75 s; when the surface tension was much larger than the critical surface tension of rice leaf surface, the rate of change of contact angle increased with the increase of leaf angle, and increased with the decrease of droplet size, but the effect of leaf angle was less than that of droplet size, and droplets of almost all particle sizes still maintained relatively poor or poor wettability (80°≤contact angle<100° or contact angle≥100°) after 75 s. In addition, the analysis of droplet wetting hysteresis phenomenon showed that the roughness of the rice leaf surface was relatively small, and the droplet wetting hysteresis phenomenon was not serious. The droplet with surface tension close to the critical surface tension of rice leaf was driven by the dynamic surface tension of the solid-liquid-gas three-phase system to wet and spread on the leaf surface, and the dynamic change of the contact angle with time could be fitted by the model θ=θe+Aexp(-Kt); although the droplet with a surface tension much higher than the critical surface tension of rice leaf could steadily adhere to the leaf surface without the phenomenon of roll-off, it was never able to break through the pinning effect and retention resistance of the leaf surface, and could not achieve wetting and spreading.

【Conclusion】

All three factors, surface tension, droplet size, and leaf angle, significantly affect the dynamic wetting and spreading behavior of pesticide droplets on the rice leaf surface. In the actual application scenarios, since the leaf angle cannot be adjusted artificially, the surface tension and droplet size of the pesticide solution can be adjusted according to the purpose of the application to regulate the dynamic wetting and spreading behavior of the droplet. The results of this study are helpful to understand the mechanism of dynamic wetting and spreading of pesticide droplet on the rice leaf surface, and can provide theoretical support and guidance for the rational selection of surface tension and droplet size in rice pesticide application scenarios.

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