Extension of Moving Particle Simulation including rotational degrees of freedom for dilute fiber suspension

TL;DR

This paper introduces an enhanced Moving Particle Simulation method incorporating rotational degrees of freedom via micropolar fluid modeling, enabling accurate simulation of fiber dynamics in shear flows, aligning with Jeffery's theory.

Contribution

The novel MPS approach models fiber rotation in shear flows using micropolar fluid particles, improving accuracy over traditional methods.

Findings

Successfully reproduces Jeffery's fiber motion in shear flow.

Demonstrates the importance of rotational degrees of freedom in fiber simulations.

Provides a new tool for simulating dilute fiber suspensions.

Abstract

We develop a novel Moving Particle Simulation (MPS) method to accurately reproduce the motion of fibers floating in sheared liquids. In conventional MPS schemes, if a fiber suspended in a liquid is represented by a one-dimensional array of MPS particles, it is entirely aligned to the flow direction due to the lack of shear stress difference between fiber-liquid interfaces. To address this problem, we employ the micropolar fluid model to introduce rotational degrees of freedom into the MPS particles. The translational motion of liquid and solid particles and the rotation of solid particles are calculated with the explicit MPS algorithm. The fiber is modeled as an array of micropolar fluid particles bonded with stretching and bending potentials. The motion of a single rigid fiber is simulated in a three-dimensional shear flow generated between two moving solid walls. We show that the proposed method is capable of reproducing the fiber motion predicted by Jeffery's theory being different from the conventional MPS simulations.