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    Liquid Holdup Discretized Solution's Existence and Uniqueness Using a Simplified Averaged One-Dimensional Upward Two-Phase Flow Transient Model

    Source: Journal of Dynamic Systems, Measurement, and Control:;2017:;volume( 139 ):;issue: 008::page 81005
    Author:
    Omrani, Ala E.
    ,
    Franchek, Matthew A.
    ,
    Grigoriadis, Karolos
    ,
    Tafreshi, Reza
    DOI: 10.1115/1.4035901
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This article presents a one-dimensional numerical model for vertical upward multiphase flow dynamics in a pipeline. A quasi-steady-state condition is used for the gas phase as well as liquid and gas momentum equations. A second-order polynomial for homogeneous flows and a sixth-order polynomial for separated flows are derived to determine the two-phase flow dynamics, assuming that the gas flow mass is conserved. The polynomials are formulated based on the homogenous and separate flows' momentum equation and the homogeneous flows' rise velocity equation and their zeros are the flow actual liquid holdup. The modeling polynomial approach enables the study of the polynomial liquid holdup zeros existence and uniqueness and as a result the design of a stable numerical model in terms of its outputs. The one-dimensional solution of the flow for the case of slug and bubble flow is proven to exist and to be unique when the ratio of the pipe node length to the time step is inferior to a specific limit. For the annular flow case, constraints on the inlet gas superficial velocity and liquid to gas density ratio show that the existence is ensured while the uniqueness may be violated. Simulations of inlet pressure under transient condition are provided to illustrate the numerical model predictions. The model steady-state results are validated against experimental measurements and previously developed and validated multiphase flow mechanistic model.
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      Liquid Holdup Discretized Solution's Existence and Uniqueness Using a Simplified Averaged One-Dimensional Upward Two-Phase Flow Transient Model

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4236679
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    contributor authorOmrani, Ala E.
    contributor authorFranchek, Matthew A.
    contributor authorGrigoriadis, Karolos
    contributor authorTafreshi, Reza
    date accessioned2017-11-25T07:20:49Z
    date available2017-11-25T07:20:49Z
    date copyright2017/24/5
    date issued2017
    identifier issn0022-0434
    identifier otherds_139_08_081005.pdf
    identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4236679
    description abstractThis article presents a one-dimensional numerical model for vertical upward multiphase flow dynamics in a pipeline. A quasi-steady-state condition is used for the gas phase as well as liquid and gas momentum equations. A second-order polynomial for homogeneous flows and a sixth-order polynomial for separated flows are derived to determine the two-phase flow dynamics, assuming that the gas flow mass is conserved. The polynomials are formulated based on the homogenous and separate flows' momentum equation and the homogeneous flows' rise velocity equation and their zeros are the flow actual liquid holdup. The modeling polynomial approach enables the study of the polynomial liquid holdup zeros existence and uniqueness and as a result the design of a stable numerical model in terms of its outputs. The one-dimensional solution of the flow for the case of slug and bubble flow is proven to exist and to be unique when the ratio of the pipe node length to the time step is inferior to a specific limit. For the annular flow case, constraints on the inlet gas superficial velocity and liquid to gas density ratio show that the existence is ensured while the uniqueness may be violated. Simulations of inlet pressure under transient condition are provided to illustrate the numerical model predictions. The model steady-state results are validated against experimental measurements and previously developed and validated multiphase flow mechanistic model.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleLiquid Holdup Discretized Solution's Existence and Uniqueness Using a Simplified Averaged One-Dimensional Upward Two-Phase Flow Transient Model
    typeJournal Paper
    journal volume139
    journal issue8
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.4035901
    journal fristpage81005
    journal lastpage081005-14
    treeJournal of Dynamic Systems, Measurement, and Control:;2017:;volume( 139 ):;issue: 008
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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