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Thermo-Fluid Dynamics of Two-Phase Flow

TL;DR: In this article, two-phase field equations based on time average are proposed. But they do not consider the effect of structural materials in a control volume on the two-fluid model.
Abstract: Part I Fundamental of two-phase flow.- Introduction.- Local Instant Formulation.- Part II Two-phase field equations based on time average.- Basic Relations in Time Average.- Time Averaged Balance Equation.- Connection to Other Statistical Averages.- Part III. Three-dimensional model based on time average.- Kinematics of Averaged Fields.- Interfacial Transport.- Two-fluid Model.- Interfacial Area Transport.- Constitutive Modeling of Interfacial Area Transport.- Hydrodynamic Constitutive Relations for Interfacial Transfer.- Drift Flux Model.- Part IV: One-dimensional model based on time average.- One-dimensional Drift-flux Model.- One-dimensional Two-fluid Model.- Two-Fluid Model Considering Structural Materials in a Control Volume.
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TL;DR: A comprehensive review of numerical methods and models for interface resolving simulations of multiphase flows in microfluidics and micro process engineering is presented in this paper, where three common approaches in the sharp interface limit, namely the volume-of-fluid method with interface reconstruction, the level set method and the front tracking method, as well as methods with finite interface thickness such as color function based methods and the phase-field method are discussed.
Abstract: This article presents a comprehensive review of numerical methods and models for interface resolving simulations of multiphase flows in microfluidics and micro process engineering. The focus of the paper is on continuum methods where it covers the three common approaches in the sharp interface limit, namely the volume-of-fluid method with interface reconstruction, the level set method and the front tracking method, as well as methods with finite interface thickness such as color-function based methods and the phase-field method. Variants of the mesoscopic lattice Boltzmann method for two-fluid flows are also discussed, as well as various hybrid approaches. The mathematical foundation of each method is given and its specific advantages and limitations are highlighted. For continuum methods, the coupling of the interface evolution equation with the single-field Navier–Stokes equations and related issues are discussed. Methods and models for surface tension forces, contact lines, heat and mass transfer and phase change are presented. In the second part of this article applications of the methods in microfluidics and micro process engineering are reviewed, including flow hydrodynamics (separated and segmented flow, bubble and drop formation, breakup and coalescence), heat and mass transfer (with and without chemical reactions), mixing and dispersion, Marangoni flows and surfactants, and boiling.

378 citations

Journal ArticleDOI
TL;DR: A review of the problems and successes of computing turbulent flow can be found in this paper, where the authors provide the interested reader with most of the appropriate sources of turbulence modelling, exhibiting either as much detail as it is possible, by means of bibliography, or illustrating some of the most recent developments on the numerical modelling of turbulent flows.

357 citations

Journal ArticleDOI
TL;DR: In this paper, a generalized two-phase debris flow model is proposed that includes many essential physical phenomena, including viscous drag, buoyancy, and virtual mass, and the model employs the Mohr-Coulomb plasticity for the solid stress and the fluid stress is modeled as a solid-volume fraction-gradient-enhanced non-Newtonian viscous stress.
Abstract: [1] This paper presents a new, generalized two-phase debris flow model that includes many essential physical phenomena. The model employs the Mohr-Coulomb plasticity for the solid stress, and the fluid stress is modeled as a solid-volume-fraction-gradient-enhanced non-Newtonian viscous stress. The generalized interfacial momentum transfer includes viscous drag, buoyancy, and virtual mass. A new, generalized drag force is proposed that covers both solid-like and fluid-like contributions, and can be applied to drag ranging from linear to quadratic. Strong coupling between the solid- and the fluid-momentum transfer leads to simultaneous deformation, mixing, and separation of the phases. Inclusion of the non-Newtonian viscous stresses is important in several aspects. The evolution, advection, and diffusion of the solid-volume fraction plays an important role. The model, which includes three innovative, fundamentally new, and dominant physical aspects (enhanced viscous stress, virtual mass, generalized drag) constitutes the most generalized two-phase flow model to date, and can reproduce results from most previous simple models that consider single- and two-phase avalanches and debris flows as special cases. Numerical results indicate that the model can adequately describe the complex dynamics of subaerial two-phase debris flows, particle-laden and dispersive flows, sediment transport, and submarine debris flows and associated phenomena.

355 citations

Journal ArticleDOI
TL;DR: An updated review of two-phase flow instabilities including experimental and analytical results regarding density-wave and pressure-drop oscillations, as well as Ledinegg excursions, is presented in this article.

292 citations


Cites background from "Thermo-Fluid Dynamics of Two-Phase ..."

  • ...Several years later, Ishii and Hibiki [179] presented a rigorous mathematical formulation for the models describing multi-phase flow systems....

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Journal ArticleDOI
TL;DR: In this paper, high-speed video and infrared thermometry were used to obtain time and space-resolved information on bubble nucleation and heat transfer in pool boiling of water.

268 citations


Cites background from "Thermo-Fluid Dynamics of Two-Phase ..."

  • ...Ishii & Hibiki [3]) and CFD ‘multi-fluid’ models (e....

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  • ...Specifically, nucleation site density, bubble departure diameter and frequency data are a necessary input for the source terms in interfacial area transport models (e.g. Ishii & Hibiki [3]) and CFD ‘multi-fluid’ models (e.g. Lo [4]; Bestion et al. [5]; W.K....

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