Investigation of particulate suspensions in generalised hydrodynamic dissipative particle dynamics using a spring model

Mai-Duy, N. and Nguyen, T. Y. N. and Le-Cao, K. and Phan-Thien, N. (2020) Investigation of particulate suspensions in generalised hydrodynamic dissipative particle dynamics using a spring model. Applied Mathematical Modelling, 77 (1). pp. 652-662. ISSN 0307-904X

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In the DPD simulation of particulate suspensions, the viscosity of the solvent phase is typically estimated by a non-equilibrium approach, where the fluid is subjected to a flow process (a shear flow), and the local stress and shear rate tensors are calculated; the obtained values (shear stress/shear rate) are then used in calculating the particulate fluid rheology, for example the ratio of the suspension to the matrix viscosity (reduced/relative viscosity) for a given volume fraction of the suspended phase. However, when suspended particles are added, an additional length scale is introduced into the solvent system and this may affect the solvent’s macroscopic properties. In this study, a particulate suspension is simulated using a spring model, and the solvent’s viscosity is estimated taking into account the finite-size effect (i.e., in the generalised hydrodynamic regime, as hydrodynamics of an integrable system) to produce improved results. Furthermore, it is observed that the simulation results are also affected by the repulsion strength and an appropriate high value of this coefficient, where the actual solvent viscosity in the hydrodynamic limit is still kept close to the input viscosity, can lead to a further improvement. New results are presented and compared with existing data.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Accepted version embargoed until 1 January 2022 (24 months), in accordance with the copyright policy oft he publisher.
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering (1 Jul 2013 -)
Faculty/School / Institute/Centre: Current - Institute for Advanced Engineering and Space Sciences (1 Aug 2018 -)
Date Deposited: 16 Nov 2020 04:20
Last Modified: 25 Mar 2021 02:19
Uncontrolled Keywords: dissipative particle dynamics (DPD); particulate suspensions; spring model; generalised hydrodynamics; finite-size effects
Fields of Research (2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490303 Numerical solution of differential and integral equations
40 ENGINEERING > 4017 Mechanical engineering > 401706 Numerical modelling and mechanical characterisation
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
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