# Bulletin of the American Physical Society

# 71st Annual Meeting of the APS Division of Fluid Dynamics

## Volume 63, Number 13

## Sunday–Tuesday, November 18–20, 2018; Atlanta, Georgia

### Session L10: Multiphase Flows: Modeling and Theory II

4:05 PM–6:41 PM,
Monday, November 19, 2018

Georgia World Congress Center
Room: B215

Chair: Shankar Subramaniam, Iowa State University

Abstract ID: BAPS.2018.DFD.L10.2

### Abstract: L10.00002 : General Definition of Particle-fluid-particle Stress in Multiphase Flows*

4:18 PM–4:31 PM

#### Presenter:

Duan Zhong Zhang

(Los Alamos Natl Lab, Los Alamos National Laboratory)

#### Authors:

Duan Zhong Zhang

(Los Alamos Natl Lab, Los Alamos National Laboratory)

Georges Akiki

(Los Alamos National Laboratory)

Marianne M Francois

(Los Alamos Natl Lab)

Particle-particle interactions result in a stress in a dense system. For systems containing small amount of viscous liquids, the particle interaction becomes particle-fluid-particle interaction through the liquid bridges between particles. In this case we have clear definition of the particle-fluid-particle stress which appears in the momentum equation for the particle phase. As the liquid amount increases, the liquid bridges cannot be clearly identified, while there is no reason for the particle-fluid-particle stress to disappear from the momentum equation.

In this presentation, we start from the ensemble averaging method to show that the stress can be defined using particle forces conditionally averaged on the nearest neighbor. These forces are not necessary interaction forces between particles, but statistical correlations given the nearest pair. The assumption of pair interaction is not necessary; therefore, this definition is valid for finite volume fractions. The stress is defined as an integral over the space surrounding a particle. The use of the nearest neighbor quantities ensures convergence of the integral.

*Work sponsored by Advanced Simulation and Computing (ASC) program of NNSA and LDRD-CNLS of LANL.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DFD.L10.2

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