Modified two-fluid model for the two-group interfacial area transport equation |
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| Affiliation: | 1. Thermal-hydraulics and Reactor Safety Laboratory, Purdue University, School of Nuclear Engineering, 400 Central Drive, West Lafayette, IN 47907-2017, USA;2. T10K8, US Nuclear Regulatory Commission, Washington, DC 20555-0001, USA;1. Institut für Angewandte Mathematik, Universität Bonn, 53115 Bonn, Germany;2. DiMaI, Università di Firenze, 50134 Firenze, Italy;1. Institute for Nuclear and Energy Technologies (IKET), Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, D-76344 Eggenstein-Leopoldshafen, Germany;2. Laboratoire de Physique Subatomique et de Cosmologie – IN2P3 – CNRS/Grenoble INP/UJF, 53, rue des Martyrs, 38026 Grenoble, France;1. Helmholtz-Zentrum Dresden – Rossendorf, Institute of Fluid Dynamics, Dresden, Germany;2. Technische Universität Dresden, Institute of Fluid Mechanics, Dresden, Germany;1. Aalto University, Department of Biotechnology and Chemical Technology, Kemistintie 1, 02150 Espoo, Finland;2. Department of Applied Science and Technology, Institute of Chemical Engineering, Politecnico di Torino, Torino, Italy;3. Department for Chemical and Process Engineering, BASF SE, Ludwigshafen, Germany;4. Institute of Energy and Power Technology, University of Applied Science Ulm, Ulm, Germany |
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| Abstract: | This paper presents a modified two-fluid model that is ready to be applied in the approach of the two-group interfacial area transport equation. The two-group interfacial area transport equation was developed to provide a mechanistic constitutive relation for the interfacial area concentration in the two-fluid model. In the two-group transport equation, bubbles are categorized into two groups: spherical/distorted bubbles as Group 1 while cap/slug/churn-turbulent bubbles as Group 2. Therefore, this transport equation can be employed in the flow regimes spanning from bubbly, cap bubbly, slug to churn-turbulent flows. However, the introduction of the two groups of bubbles requires two gas velocity fields. Yet it is not practical to solve two momentum equations for the gas phase alone. In the current modified two-fluid model, a simplified approach is proposed. The momentum equation for the averaged velocity of both Group-1 and Group-2 bubbles is retained. By doing so, the velocity difference between Group-1 and Group-2 bubbles needs to be determined. This may be made either based on simplified momentum equations for both Group-1 and Group-2 bubbles or by a modified drift-flux model. |
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