Simulation of flow of fibre suspensions using an IRBF-BCF based multiscale approach

Nguyen, H. Q. and Tran, C.-D. and Tran-Cong, T. (2015) Simulation of flow of fibre suspensions using an IRBF-BCF based multiscale approach. In: 11th International Conference on Computational Fluid Dynamics in the Minerals and Process Industries (CFD2015), 07-09 Dec 2015, Melbourne Convention and Exhibition Centre, Melbourne, Australia.

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In this paper, a multiscale method based on the combination of the Integrated Radial Basis Function (IRBF) approximation and the Brownian Configuration Field (BCF) approach is used to simulate the mechanical behaviours of flow of fibre suspensions. The bulk properties of flow including velocity and stresses are governed by conservation equations in continuum mechanics. Meanwhile the evolution of fibres’ configuration such as the position and direction of fibres are described by the Jeffery’s motion equation in the Eulerian form. The decoupled calculations at two different scales are linked together through the formula of stress by Lipscomb, by which the mutual influence between the kinematic properties of flow and the dynamic behaviours of fibres is represented. In this work, the IRBF based approximations are employed in two separate processes of the numerical discretisation. While the IRBF high-order approximations yield higher accuracy and faster convergence of the method, they might enhance the stability of the fibre dynamics simulation as well, especially for the case of concentrated fibre suspension. The validity of the method is demonstrated by simulating flows of different fibre concentrations between two parallel plates.

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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering
Date Deposited: 27 Jun 2016 05:37
Last Modified: 06 Jul 2016 05:36
Uncontrolled Keywords: multiscale method; Brownian Configuration Field; Integrated Radial Basis Function; dilute fibre suspension flow
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis

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