“…Thus, efforts should focus on the state process (e.g., relationship between pressure and the specific volume of gas) of the system. For a pipeline riser ALP system with large length-diameter ratio, the gas-liquid two-phase flow in stable state is always supposed to be one-dimensional upward flow to facilitate the theoretical analysis, the numerical calculation, as well as study of system efficiency and performance, e.g., Kassab et al, 4,5,18 Wang et al, 6 Shimizu et al, 11 Shimizu and Takagi, 12 Liu and Yao, 14 Stenning and Martin, 16 and Rim et al 29 So that the emphasis is focused on the states in the inlet and outlet, which make it easier to characterize how the flow stability and performance are influenced by the boundary working conditions. This simplification can provide truly valuable insights into the system without unnecessary complexity and the confusing three-dimensional field in the analysis of the theoretical model.…”