A numerical method based on an -fluid model is proposed for the prediction of a three-dimensional unsteady turbulent bubbly flow with nonuniform bubble sizes. Among the fluids, one fluid corresponds to the liquid phase and the N fluids to bubbles. The model can therefore take account of N different bubble sizes. Since the fluid density of each bubble group can differ from that of other groups, the method is also applicable to multi-component flows such as a gas-liquid-solid flow and a liquid-solid flow with various particles. The increase in the number of fluids to be solved does not require any lengthy complicated programming because the calculation of N field equations for the gas phase is easily conducted using a single DO-loop. To demonstrate the potential of the proposed method, unsteady bubble plumes in a water-filled vessel were simulated using the -fluid and two-fluid models. As a result, it was confirmed that the -fluid model gave better predictions than the two-fluid model for bubble plumes with nonuniform bubble sizes.
A Numerical Method for Bubbly Flow Simulation Based on a Multi-Fluid Model
Contributed by the Pressure Vessels and Piping Division for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received by the PVP Division, November 6, 2000; revised manuscript received May 23, 2001. Associate Editor: Y. W. Kwon.
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Tomiyama, A., and Shimada, N. (May 23, 2001). "A Numerical Method for Bubbly Flow Simulation Based on a Multi-Fluid Model ." ASME. J. Pressure Vessel Technol. November 2001; 123(4): 510–516. https://doi.org/10.1115/1.1388010
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