Governing equations for a seriated continuum: an unequal velocity model for two-phase flow

Solbrig, C.W.; Hughes, E.D.

doi:10.2172/4186134

Cited by 15 publications

(11 citation statements)

References 16 publications

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“…The transport properties of a phase in a mixture were defined strictly in particle cloud via diffusion through the continuous phase [25,26]. (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14) where ~k is the shear strain tensor of species kin (r). Hence, even when phase cis in turbulent motion, the motion of species k, while in random motion, may actually be .in the viscous or siip flow regime [21,26].…”

Section: Momentum Equationmentioning

confidence: 99%

“…The significance of two-phase.flow in relation to nuclear reactor.safety has led to several kinds of studies on multiphase flow. These include extensions of one-dimensional flow [.1] to treat flow transients [2,3,4],.extensionof continuum mechanics to deal with three-dimensional systems [5,6], problem~ involving flow instabilities [7], and the suggestion of multiphase mechani9s as a discipline of its own [8]. Extensive computer programs for two-phase flow have also been formulated [9,10].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multidomain multiphase fluid mechanics

Sha¹,

Soo²

1976

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Section: Momentum Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multidomain multiphase fluid mechanics

Sha¹,

Soo²

1976

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“…25) As mentioned above, the single-pressure models have complex characteristic values within the range of interest of the dependent variables. Thus, the models are physically unacceptable and lead to ill-posed initial value problems.…”

Section: Introduction and Review Of Previous Researchmentioning

confidence: 99%

Effect of Pressure on Two-Phase Stratified Flow Modeling

Ansari

2004

Journal of Nuclear Science and Technology

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This paper reviews the use of the single-pressure model in two-phase flow modeling in previous literature, and develops and demonstrates the equations for the two-pressure model. Many of the models investigated previously suffer from an inability to achieve convergence and consistent results because they have complex characteristic values. Two different model specifications -single-pressure (ill-posed condition) and two-pressure (well-posed condition) are considered in this paper. Pressure effect was taken into account for both models. The models discussed in this paper were developed for the case of a transient two-phase air-water stratified flow in a horizontal duct. Terms that induce physical viscosity like surface tension, viscous stress, etc., were not included in the models. Both models were applied to the Kelvin-Helmholtz (K-H) instability case and the equations were solved numerically. The results showed that the two-phase two-pressure flow model pioneered by Ransom and Hicks overcomes the ill-posed condition. Convergence and consistence of results, which cannot be obtained by the ill-posed models, are established using the well-posed two-pressure model.

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“…Fischer [6] also used a homogeneous method but accounted for phase slippage. An equation set which described the conservation equations for each phase was presnted by Solbrig and Hughes [11]. The flow models based on such an equation set increase in complexity since additional equations which describe the behavior of the interface will be required.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Transient Two-Phase Flow in Pipelines

Sharma

Scoggins

Shoham

et al. 1986

Journal of Energy Resources Technology

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The laws of conservation of mass and linear momentum were applied to a two-phase mixture to formulate a mathematical model which simulates isothermal, transient two-phase flow of gas and liquid in a pipeline. Liquid holdup and friction factors were incorporated via existing empirical correlations, and the black oil method was used to describe interphase mass transfer. Implicit finite difference analogues were derived for the nonlinear set of partial differential equations which constituted the basis of the model. The system of difference equations was solved using a sequential solution algorithm implementing a Newton-Raphson iterative procedure. The numerical model formulated was used to predict the performance of an existing wet gas pipeline to establish the validity of the model. Example simulation runs were used to provide insights into the nature of transient two-phase flow. Downloaded From: http://energyresources.asmedigitalcollection.asme.org/ on 02/19/2015 Terms of Use: http://asme.org/terms 206/ Vol. 108, SEPTEMBER 1986 Transactions of the ASME Downloaded From: http://energyresources.asmedigitalcollection.asme.org/ on 02/19/2015 Terms of Use: http://asme.org/terms

show abstract

Governing equations for a seriated continuum: an unequal velocity model for two-phase flow

Cited by 15 publications

References 16 publications

Multidomain multiphase fluid mechanics

Multidomain multiphase fluid mechanics

Effect of Pressure on Two-Phase Stratified Flow Modeling

Simulation of Transient Two-Phase Flow in Pipelines

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