Simulation of non‑dilute fibre suspensions using RBF‑based macro–micro multiscale method

Nguyen, Hung Quoc and Tran, Canh‑Dung ORCID: https://orcid.org/0000-0002-1011-4226 (2022) Simulation of non‑dilute fibre suspensions using RBF‑based macro–micro multiscale method. Korea-Australia Rheology Journal, 34 (1). pp. 1-15. ISSN 1226-119X

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Abstract

The multiscale stochastic simulation method based on the marriage of the Brownian Configuration Field (BCF) and the Radial Basis Function mesh-free approximation for dilute fibre suspensions by our group, is further developed to simulate non-dilute fibre suspensions. For the present approach, the macro and micro processes proceeded at each time step are linked to each other by a fibre contributed stress formula associated with the used kinetic model. Due to the feature of non-dilute fibre suspensions, the interaction between fibres is introduced into the evolution equation to determine fibre configurations using the BCF method. The fibre stresses are then determined based on the fibre configuration fields using the Phan–Thien–Graham model. The efficiency of the simulation method is demonstrated by the analysis of the two challenging problems, the axisymmetric contraction and expansion flows, for a range of the fibre concentration from semi-dilute to concentrated regimes. Results evidenced by numerical experiments show that the present method would be potential in analysing and simulating various suspensions in food and medical industries.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Faculty/School / Institute/Centre: Current – Faculty of Health, Engineering and Sciences - School of Engineering (1 Jan 2022 -)
Faculty/School / Institute/Centre: Current - Institute for Advanced Engineering and Space Sciences (1 Aug 2018 -)
Date Deposited: 05 Apr 2022 04:31
Last Modified: 05 Apr 2022 04:31
Uncontrolled Keywords: 1D-Integrated Radial Basis Function-based approximation; Brownian configuration field; Multiscale macro–micro stochastic simulation; Non-dilute fibre suspension; Radial basis function
Fields of Research (2020): 40 ENGINEERING > 4017 Mechanical engineering > 401706 Numerical modelling and mechanical characterisation
49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490399 Numerical and computational mathematics not elsewhere classified
Socio-Economic Objectives (2020): 28 EXPANDING KNOWLEDGE > 2801 Expanding knowledge > 280110 Expanding knowledge in engineering
Identification Number or DOI: https://doi.org/10.1007/s13367-022-00022-1
URI: http://eprints.usq.edu.au/id/eprint/47308

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