## 1 Introduction  
Pneumatic seed delivery systems, characterized by their adaptability to high speeds, wide coverage, and diverse seed types, are extensively employed in the sowing of various crops [1, 2]. Pressurized tubes are essential components of pneumatic seed delivery systems, serving to disrupt and disperse seeds and promote the uniform distribution of the airseed two-phase flow before entering the distribution head. They play a crucial role in influencing the seeding quality of pneumatic seeders [3, 4]. On one hand, they contribute to achieving superior seeding results and increasing seed utilization. On the other hand, by enhancing distribution uniformity while ensuring smooth seed transport, they enable a corresponding reduction in airflow velocity, which aids in energy conservation and, to some extent, diminishes the power consumption of pneumatic seeders [5, 6]. Research by [PERSON] et al. [7] suggests that the internal wall structure of pressurized tubes, such as corrugations, compensating strip patterns, and louver patterns, can induce continuous self-vibration in the airflow, leading to the agitation of seed movement and promoting uniform seed distribution. [PERSON] and others [8] found that, compared to pressurized tubes with inlet and outlet diameters equal to the pipe diameter, variations in the inlet and outlet diameters of louver-type pressurized tubes are more conducive to improving seed distribution uniformity. Studies by [PERSON] and colleagues [9] on louver shapes indicate that louver-type pressurized tubes, compared to ordinary circular pipes without louvers, can reduce the Reynolds number, increase the Nusselt number, and correspondingly increase the friction coefficient. [PERSON] [10] used the DEM-CFD coupled method to simulate and analyze the effects of corrugated pressurized tube parameters on the motion characteristics of wheat and canola seeds, the airflow distribution in pressurized tubes, and seed distribution uniformity. Through bench testing, they studied the influence of pressurized tube length, corrugation depth, corrugation width, and airflow pressure on seed distribution uniformity, determining the optimal pressurized tube structure. [PERSON] et al. [11] investigated the impact of the diameter of corrugated pressurized tubes on the motion of gas-solid two-phase flow. They conducted an analysis of the number of collisions between fertilizer particles and the pressurized tube wall, the number of collisions between fertilizer particles, and the differential distribution of fertilizer particle density, ultimately determining the optimal pressurized tube diameter. Pressurized tube structures mainly encompass corrugations, louvers, varying diameters, and plain circular pipes, in which corrugated pressurized tubes find wider applications [12]. Researchers have undertaken the design and analysis of corrugated pressurized tube structures, and calculations have been conducted on pressure losses [13; 14]. However, the movement of seeds within the airflow field of the pressurized tubes is inherently complex, posing challenges for the accurate description and analysis of seed movement characteristics. Due to the intricate nature of the gas-solid two-phase flow formed by seeds in the seed delivery system, mathematical models face challenges in accurately describing seed movement characteristics and the airflow field. Therefore, the utilization of auxiliary software for analysis is necessary [15; 16]. With the development of the discrete element method (DEM) and computational fluid dynamics (CFD), numerical simulation techniques have become crucial tools for studying multiphase flows. The DEM-CFD coupling simulation method is widely applied in areas such as fluidized beds, two-phase flow mixing, and pneumatic seed delivery systems [17; 18]. Researchers have utilized the fluent simulation to analyze the airflow distribution in microconvex tubes and optimize their structures [19].