Abstract
Three aspects of the finite radius of spherical particles in disperse two-phase flows are described. The first one is the relation between the exact volume fraction and the widely used approximation nv (n is the particle number density and v is the particle volume). The approximation affects the behavior of the effective equations at short wavelengths with possible consequences on stability and hyperbolicity. Secondly, the dilute theory of inviscid suspensions is corrected retaining the next leading order in the particle size and an application of this result to the linear problem is described. Thirdly, it is shown how several important properties of suspensions such as effective thermal conductivity and viscosity depend on the subtle effect of translation of the average fields over distances of the order of the particle size.
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Communicated by Kang Ping Chen and Thomas B. Gatski
This work has been supported by DOE and NSF under Grants DE-FG02-89ER14043 and CBT-8918144, respectively.
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Prosperetti, A., Zhang, D.Z. Finite-particle-size effects in disperse two-phase flows. Theoret. Comput. Fluid Dynamics 7, 429–440 (1995). https://doi.org/10.1007/BF00418141
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DOI: https://doi.org/10.1007/BF00418141