Graduate Thesis Or Dissertation
 

A unified model of one-dimension two-fluid horizontal flows and its stability analysis

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/np193c24r

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  • An improved version of the one-dimensional horizontal two-fluid flow model has been developed by incorporating physical terms for gravity and local void fraction profiles. Introduction of an interface mixing layer concept allows the one-dimensional two-fluid model to remain hyperbolic. This will overcomes a major obstacle in using the current one-dimensional two-fluid horizontal flow model that was developed without considering the local void fraction information. All these concepts allow the creation of a unified one-dimensional two-fluid model that would work over a wide range of flow structure and wide range of stable relative velocities. The unified formulation removes the unphysical instability caused by switching between flow regimes transition correlations. By eliminating the unphysical instability or numerical oscillations, a smooth transition near flow regime transition boundaries is possible. The unified interfacial model could significantly improve the numerical stability of a thermal-hydraulic code by eliminating the need for a subjective flow regime map and flow regime dependent correlations with the unified correlation. It is shown that the proposed one-dimensional two-fluid horizontal flow model is stable in a range of flow regimes. To investigate the achieved physical stability, a theoretical characteristic stability analysis is performed with inviscous flow condition. The result is similar to the Kelvin-Helmholtz instability criterion, but closer to realistic two-fluid natural stability. The unified two-fluid model could significantly improve the stability of horizontal flows and yield a more promising approach to a variety of practical problems.
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