Reformulating and quantifying the generalized added mass in filtered gas-solid flow models
(2005) Physics of Fluids — Vol. 17, n° 11 (2005)
Files
No attached file found for this publication.
Details
- Authors
- Abstract
- To account for mesoscale phenomena in coarse grid simulations, Reynolds stress terms appearing in the filtered gas-solid flow equations have to be modeled. A generalized added mass approach previously proposed by Zhang and VanderHeyden [Int. J. Multiphase Flow 28, 805 (2002)] to model the acoustic gas-solid interaction Reynolds stress term is analyzed. Theoretically, it is shown that a generalized added mass term appears directly from the filtered acoustic gas-solid interaction term and that it corresponds to a redistribution of the filtered gas phase pressure gradient over the phases. This direct contribution scales according to the mean square of the solid volume fraction fluctuations. Two-dimensional dynamic mesoscale simulations over a broad solid volume fraction range and for two domain sizes and two grid resolutions are carried out to calculate the magnitude of the generalized added mass effect. Calculated values of the mean square of the solid volume fraction fluctuations are qualitatively in agreement with the experimental observations of Zenit and Hunt [Int. J. Multiphase Flow 26, 763 (2000)]. A second, indirect contribution to the generalized added mass term from the filtered acoustic gas-solid interaction term is shown to be statistically significant, but one order of magnitude smaller than the direct contribution. A further quantification of the maximum generalized added mass effect as a function of the filter frequency is obtained from a mixture speed of sound test. The results show that a large generalized added mass coefficient, as previously reported by Zhang and VanderHeyden [Int. J. Multiphase Flow 28, 805 (2002)], is justified only in case the filter frequency is low (< 20 Hz), i.e., if the grid is, either spatially or temporally, sufficiently coarse. (c) 2005 American Institute of Physics.
- Affiliations
Citations
De Wilde, J. (2005). Reformulating and quantifying the generalized added mass in filtered gas-solid flow models. Physics of Fluids, 17(11). https://doi.org/10.1063/1.2131925 (Original work published 2005)