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Research Papers

Interfacial Area Transport Equation and Implementation Into Two-Fluid Model

[+] Author and Article Information
Mamoru Ishii

School of Nuclear Engineering, Purdue University, 400 Central Drive, West Lafayette, IN 47907-2017ishii@purdue.edu

Seungjin Kim

Department of Mechanical and Nuclear Engineering, Pennsylvania State University, 230 Reber Building, University Park, PA 16802skim@psu.edu

Xiaodong Sun

Department of Mechanical Engineering, Ohio State University, 201 West 19th Avenue, Columbus, OH 43210sun.200@osu.edu

Takashi Hibiki

School of Nuclear Engineering, Purdue University, 400 Central Drive, West Lafayette, IN 47907-2017hibiki@purdue.edu

J. Thermal Sci. Eng. Appl 1(1), 011005 (Jul 21, 2009) (7 pages) doi:10.1115/1.3159525 History: Received December 28, 2008; Revised February 10, 2009; Published July 21, 2009

A dynamic treatment of interfacial area concentration has been studied over the last decade by employing the interfacial area transport equation. When coupled with the two-fluid model, the interfacial area transport equation replaces the flow regime dependent correlations for interfacial area concentration and eliminates potential artificial bifurcation or numerical oscillations stemming from these static correlations. An extensive database has been established to evaluate the model under various two-phase flow conditions. These include adiabatic and heated conditions, vertical and horizontal flow orientations, round, rectangular, annulus, and 8×8 rod-bundle channel geometries, and normal-gravity and reduced-gravity conditions. Currently, a two-group interfacial area transport equation is available and applicable to comprehensive two-phase flow conditions spanning from bubbly to churn-turbulent flow regimes. A framework to couple the two-group interfacial area transport equation with the modified two-fluid model is established in view of multiphase computational fluid dynamics code applications as well as reactor system analysis code applications. The present study reviews the current state-of-the-art in the development of the interfacial area transport equation, available experimental databases, and the analytical methods to incorporate the interfacial area transport equation into the two-fluid model.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Bubble shape regime in gas-liquid two-phase flow

Grahic Jump Location
Figure 2

Comparisons of the numerical results with the experimental data at z/D=53.5 for ⟨jf⟩=0.986 m/s and ⟨jg⟩=0.321 m/s(12): (a) radial void fraction distribution, (b) radial interfacial area concentration distribution, and (c) radial bubble Sauter mean diameter distribution

Grahic Jump Location
Figure 3

Comparisons of the radial profile of void fraction for ⟨jf⟩=2.34 m/s and ⟨jg⟩=0.56 m/s(45) between experimental data and numerical results at (a) z/D=30 and (b) z/D=55

Grahic Jump Location
Figure 4

Comparisons of the radial profile of (a) the interfacial area concentration and (b) the bubble Sauter mean diameter for ⟨jf⟩=2.34 m/s and ⟨jg⟩=0.56 m/s(45) between experimental data and numerical results at z/D=30 and 55

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