Axisymmetric pipeline transportation of oil and water is simulated numerically as an initial value problem. The simulations succeed in predicting the spatially periodic Stokes-like waves called bamboo waves, which have been documented in experiments of Bai, Chen & Joseph (1992) for up-flow. The numerical scheme is validated against linearized stability theory for perfect core-annular flow, and weakly nonlinear saturation to travelling waves. Far from onset conditions, the fully nonlinear saturation to steady bamboo waves is achieved. As the speed is increased, the bamboo waves shorten, and peaks become more pointed. A new time-dependent bamboo wave is discovered, in which the interfacial waveform is steady, but the accompanying velocity and pressure fields are time-dependent. The appearance of vortices and the locations of the extremal values of pressure are investigated for both up- and down-flows.


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    Title :

    Direct simulation of unsteady axisymmetric core-annular flow with high viscosity ratio


    Contributors:
    Jie Li (author) / Renardy, Y. (author)

    Published in:

    Publication date :

    1999


    Size :

    27 Seiten, 14 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English





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