A new two-fluid model averaging in the near-wall region is proposed to ensure consistent matching of the two-phase k–ε turbulence model with the two-phase logarithmic law of the wall (Marie J. L., Moursali, E., and Tran-Cong, S., 1997, “Similarity Law and Turbulence Intensity Profiles in a Bubbly Boundary Layer,” Int. J. Multiphase Flow, 23(2), pp. 227–247). The void fraction distribution obtained with the averaging procedure is seen to conform to the two-phase wall function approach which is based on a double step function void fraction distribution. In particular, the proposed averaging technique is shown to achieve grid convergence in the near-wall region, which could not be obtained otherwise. Computational fluid dynamics (CFD) results with the proposed technique are in good agreement with experiments on upward bubbly flows over a flat plate, and upward and downward flows in pipes. An additional advantage of the proposed technique is that it replaces the wall force model, which has a significant degree of uncertainty in turbulent flow modeling, with a simpler geometric constraint.
New Two-Fluid Model Near-Wall Averaging and Consistent Matching for Turbulent Bubbly Flows
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received March 15, 2016; final manuscript received July 11, 2016; published online September 14, 2016. Assoc. Editor: Samuel Paolucci.
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Vaidheeswaran, A., Prabhudharwadkar, D., Guilbert, P., Buchanan, J. R., and de Bertodano, M. L. (September 14, 2016). "New Two-Fluid Model Near-Wall Averaging and Consistent Matching for Turbulent Bubbly Flows." ASME. J. Fluids Eng. January 2017; 139(1): 011302. https://doi.org/10.1115/1.4034327
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