Abstract

A Lagrangian solver to realistically model large, non-spherical dirt particles and their behaviour in the vicinity of deformable filtration fibres has been programmed. While this paper focuses on basic solver concepts as well as drag force implementations, a related article, concerning the realisation of interaction effects and result verification, is forthcoming, [3]. Within the framework of a digitally reconstructed, deformable filter fibre geometry, the solver traces the governing multi physics effects down to the occurrence of single force- and torque vectors. In order to go from an initial, spherical particle model [2], to a more sophisticated, non-spherical model, the capabilities of a Six Degrees of Freedom Solver have been included in the programming. A panel model and the concept of satellite help points are used to handle particles that encompass several fluid calculation cells. An innovative drag force implementation allows the consideration of rotational- and shear flow effects on particle motion. Results are evaluated and compared to an analytical formulation.

Highlights

  • In order to go from an initial, spherical particle model [2], to a more sophisticated, non-spherical model, the capabilities of a Six Degrees of Freedom Solver have been included in the programming

  • The Open Source Computational Fluid Dynamics (CFD) toolbox OpenFOAM® has served as a programming environment for the development of a novel, deterministic, micro scale, fluid-particle-fibre filtration solver [1], [2]

  • 2.1 PARTICLE GEOMETRY: ELLIPSOID SHAPE The non-spherical particle shape representation is chosen to be an ellipsoid with three independent, geometrical degrees of freedom

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Summary

INTRODUCTION

The Open Source Computational Fluid Dynamics (CFD) toolbox OpenFOAM® has served as a programming environment for the development of a novel, deterministic, micro scale, fluid-particle-fibre filtration solver [1], [2]. It was created to consider all physically relevant effects that go along with, or lead to a micro scale, dirt particle deposition in a realistically reconstructed filtration fibre geometry. Concerning this subject, two papers, have been previously published. The current work presents a significant extension of the spherical dirt particle model formulated in [2] It describes the basic concepts as well as the essential drag force implementation method behind our novel, realistic, Lagrangian, non-spherical particle model. One obvious consequence of disregarding particle shape effects for filtration simulation would be a certain overestimation of filter fibre efficiencies

PARTICLE GEOMETRY
EULER AND LAGRANGE COORDINATE SYSTEM
PARTICLE MOMENTUM EQUATION
FORCE CALCULATION
CONCLUSION
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