Compressible pairwise interaction extended point-particle model for force prediction of shock-particle bed interaction

Hsiao, Smyther S.; Salari, Kambiz; Balachandar, S.

doi:10.1103/PhysRevFluids.8.054301

Compressible pairwise interaction extended point-particle model for force prediction of shock-particle bed interaction

Journal Article · Tue May 30 00:00:00 EDT 2023 · Physical Review Fluids (Online)

DOI:https://doi.org/10.1103/PhysRevFluids.8.054301· OSTI ID:1975665

Hsiao, Smyther S. ^[1]; Salari, Kambiz ^[2]; Balachandar, S. ^[3]

University of Florida, Gainesville, FL (United States); University of Florida
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
University of Florida, Gainesville, FL (United States)

We propose a pairwise influence framework for the complex unsteady compressible particle-laden flow problem by accounting for the scattered hydrodynamic waves emitting from neighboring particles in a Euler-Lagrange simulation. It has been observed from particle-resolved (PR) simulations of randomly dispersed particle beds under a loading shock that the compressible pseudoturbulence dominates the flow system even after the primary shock has passed, which causes fluctuations observed in the forces experienced by the particle. Moreover, the fact that each particle exists in the vicinity of a random arrangement of other particles modifies the time history of the drag force experienced by each particle during and after the passage of the shock. First, the scattering flow field due to an incoming shock interacting with a single sphere is constructed using an analysis of the flow in the acoustic limit. Then we examine the validity of the compressible Maxey-Riley-Gatignol force model by comparing the force prediction against a PR simulation of two interacting particles for various particle arrangements and incoming shock strength. Subsequently, the neighboring influences are stored as a library of maps that can be used readily in the calculation of the perturbation force. Lastly, the pairwise interaction assumption is evaluated by comparing the force predicted with the model with PR simulations of a randomly packed particle bed of 10% volume fraction for both water and air as the fluid medium for an incoming shock Mach number 1.22. With a considerably lower cost for the implementation of the model compared to PR simulations, it is verified that the model is reasonably accurate in pinpointing particles whose peak force is significantly larger or smaller than the mean drag but also to capture the prolonged fluctuations after the initial shock.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); University of Florida, Gainesville, FL (United States)

Sponsoring Organization:: Lawrence Livermore National Laboratory; Predictive Science Academic Alliance Program; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344; NA0002378

OSTI ID:: 1975665

Alternate ID(s):: OSTI ID: 2319250
OSTI ID: 1999729

Report Number(s):: LLNL-JRNL--842816; LLNL-LDRD-B633900; SSAA GRANT 13433012

Journal Information:: Physical Review Fluids (Online), Journal Name: Physical Review Fluids (Online) Journal Issue: 5 Vol. 8; ISSN 2469-990X

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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