The development of slugging in two-layer hydraulic flows

@article{Needham2007TheDO,
  title={The development of slugging in two-layer hydraulic flows},
  author={D. J. Needham and John Billingham and R. M. S. M. Schulkes and A. C. King},
  journal={Ima Journal of Applied Mathematics},
  year={2007},
  volume={73},
  pages={274-322}
}
In this paper, we develop a hydraulic theory to describe the occurrence and structure of slugging in a confined two-layer gas-liquid flow generated by prescribed, constant, upstream volumetric flow rates in each layer. A linearized theory for the uniform flow is established, after which we use bifurcation theory to study fully non-linear periodic travelling wave structures. We find that a two-parameter family of such travelling wave solutions exists. Under given conditions, the volumetric flow… 
A Numerical Investigation into the Effects of Inclination on the Development of Slugging in Channel Flow
Gas-liquid pipe flows are extremely important in many industries, one of which is the oil/gas industry which is where the motivation for this work comes from and where the transition to a slug flow

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