Hydraulic model of rotating cylinders with adaptive external parameters

The separation of isotopes using rotating cylinders is a crucial and sustainable method. The hydraulic characteristics of rotating cylinders are crucial for optimizing their performance and regulating the working state of cascades. However, the hydraulic laws derived from experimental data often lack broad universality. Therefore, establishing a highly generalizable fluid dynamics model to study the hydraulic characteristics of rotating cylinders is essential. In this paper, by investigating the relationship between the gas flow state inside the cylinder and external control parameters, a hydraulic model for rotating cylinders that adapts to external parameters was developed. A numerical method based on the inexact Newton’s method was proposed to handle complex nonlinear source-sink terms, which was further integrated with a homotopy algorithm to solve two-dimensional high-order nonlinear fluid dynamics equations. Using this model and algorithm, the hydraulic characteristics and performance of rotating cylinders under all operating conditions were comprehensively simulated. The results show that the deviation between the critical pressure obtained by numerical simulation and experimental data is less than 0.3P0, and the theoretical split ratio differs from the experimental results by less than 0.06θ0.