Bidisperse supension balance model

Howard, Amanda A.; Maxey, Martin R.; Gallier, Stany

doi:10.1103/physrevfluids.7.124301

Bidisperse supension balance model

Journal Article · Fri Dec 02 00:00:00 EST 2022 · Physical Review Fluids (Online)

DOI:https://doi.org/10.1103/physrevfluids.7.124301· OSTI ID:1916320

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Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Brown Univ., Providence, RI (United States)
ArianeGroup, Vert-le-Petit (France)

The suspension balance model (SBM) for viscous Stokes flow has been well studied for the case of identical, monodisperse spherical particles in a channel, however, more work remains to be done to explore the bidisperse and polydisperse SBM. Here, we present a simple extension of the SBM that allows for modeling of suspensions of particles of bidisperse size. The comparison with avaiable experiments and direct simulations is found to be good. Additionally, we present a range of simulations to justify the assumptions made in the polydisperse suspension balance model for non-Brownian, neutrally buoyant particles that vary in size with a bidisperse distribution. The aim is to study the effects of moderate size variation on the rheology of the suspension and the distribution of the particles across the flow, especially in the near-wall regions. It is shown that, at the size ratios considered, bidispersity in the particle size does not significantly affect rheological parameters including the particle volume fraction and relative viscosity in the bulk of a Couette flow. The particle phase stresses are distributed between small and large particles in proportion to the relative volume fractions of each species. In bidisperse suspensions, the large particles in the wall layer develop a spatial structure and form chains in the streamwise direction.

View Accepted Manuscript (DOE)

Research Organization:: Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: AC05-76RL01830; SC0009247

OSTI ID:: 1916320

Alternate ID(s):: OSTI ID: 1922874

Report Number(s):: PNNL-SA-171996

Journal Information:: Physical Review Fluids (Online), Journal Name: Physical Review Fluids (Online) Journal Issue: 12 Vol. 7; ISSN 2469-990X

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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