The development of slugging in two-layer hydraulic flows

  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},
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


On the origin of wave patterns in fluidized beds
  • M. Göz
  • Mathematics
    Journal of Fluid Mechanics
  • 1992
In this report, a model designed for the description of the flow of two miscible phases in a fluidized bed is discussed. Apart from basic problems of modelling accurately such multi-phase flows,
Nonlinear evolution of small disturbances into roll waves in an inclined open channel
This paper concerns the asymptotic behaviour (for the limiting case of small amplitudes) of small disturbances as they evolve in time to produce the quasi-steady pattern of roll waves first discussed
The propagation of a voidage disturbance in a uniformly fluidized bed
By considering the evolution of a localized voidage disturbance imposed on an otherwise uniformly fluidized bed we are able to determine the dominant effects of the many terms in the continuum
Transition from stratified to intermittent flows in small angle upflows
Dynamics of roll waves
Shallow-water equations with bottom drag and viscosity are used to study the dynamics of roll waves. First, we explore the effect of bottom topography on linear stability of turbulent flow over
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<Q* *•* tm c^e. •y „u„UUUv, ^-^ have ^n ^e concerning the flow of water down an inclined open channel. Hydrauiicians have evolved empirical laws in confusing multiplicity to de^ciibe a uniform flow
Theoretical Prediction of Onset of Horizontal Slug Flow
A criterion for the onset of a slug flow in a horizontal duct is derived theoretically. A potential flow analysis is carried out by considering waves of finite amplitude. The stability criterion is
Modelling the Dynamics of Turbulent Floods
This new model for the shallow water dynamics of turbulent flow resolves the vertical structure of the flow and the turbulence, includes interaction between turbulence and long waves, and gives a rational alternative to classical models for turbulent environmental flows.