Abstract
A Lagrangian solver to realistically model large, non-spherical dirt particles and their behavior in the vicinity of deformable filtration fibres has been programmed. While this paper focuses on the realization of interaction effects and result verification, a related article, concerning basic solver concepts as well as drag force implementations, has been published, [3]. A digitally reconstructed, deformable filter fibre structure gives the framework for all particle interactions with their surroundings. Particle–fibre deposition effects, are being modelled in detail. Fibre forces, that act on a particle and confine it, can be applied on a user-defined basis. The collision module handles particle–particle interactions, detects exact particlesurface impact locations and calculates translational- as well as rotational collision effects. In order to validate Computational Fluid Dynamics results, like filter fibre efficiency and particle penetration depth, a semi-analytical verification approach for simplified fibre geometries has been devised. In addition to that, extensive, experimental test runs are currently conducted.
Highlights
1 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]
4.1 NUMERICAL AND SEMI-ANALYTICAL FILTER FIBRE EFFICIENCY CURVE A first, important step in validating qualitative aspects of solver functionality can be taken by comparing CFD calculations and semi-analytical results for artificially created, simplified fibre geometries
Ei is the fractional filter fibre efficiency of size class i; ni is the total number of dirt particles per size class i and ns,i is the number of dirt particles retained by the filter
Summary
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, three articles, have been previously published. A significant extension of the spherical dirt particle model, formulated in [2] is presented there It describes the basic concepts and the essential drag force implementation method behind our novel, deterministic, Lagrangian, non-spherical particle. The reasons for that are varying drag-force-to-mass-ratios [3] as well as slip- and bulk effects (see chapter 1.2 and 1.3) This is why, in extension of the previously published, spherical particle model [2], a highly detailed, more sophisticated and more accurate, non-spherical particle model had to be created.
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