Abstract
In many areas of suspension mechanics, such as filled polymer fluids or household products such as toothpaste, the suspending fluid itself is inherently non-Newtonian and may exhibit viscoelastic properties. In this paper, we extend the Stokesian Dynamics formalism to incorporate a simple model of viscoelasticity by using small spheres as ‘beads’ in a bead–spring dumbbell (such as is found in the derivation of Oldroyd and FENE constitutive models for dilute polymer solutions). Various different spring laws are then tested in both small-amplitude and large-amplitude oscillatory shear, and their rheological behaviour is compared to continuum constitutive models.
Highlights
Suspensions of particles in fluids can be found both in nature and as the basis of many products in industry
We develop the use of Stokesian Dynamics for rheology by introducing a background shear rate, E ∞, to our fluid
By placing simple bead-and-spring dumbbells, with various force laws, into a suspension, we are able to show that the resulting suspension behaves as a viscoelastic fluid
Summary
Suspensions of particles in fluids can be found both in nature and as the basis of many products in industry. A popular simulation technique for these suspensions is Stokesian Dynamics [1]: a microhydrodynamic, low Reynolds number approach to modelling suspensions which considers the interaction of particles with each other against a Newtonian background solvent. We observe the performance of these dumbbell suspensions in simulation by submitting them to oscillatory shear Oscillatory rheometry, both with small-amplitude shear and large-amplitude shear, has become a standard tool in the classification of viscoelastic fluids [3]. Alternative simulation techniques for viscoelastic suspensions have been developed, using finite element [4], finite volume [5], and fictitious domain methods [6], as well as methods which treat all suspended particles as passive, allowing the fluid flow to be computed separately [7]. In both of these sections, we investigate the effect of altering the parameters in the model, and compare their rheological behaviour to continuum constitutive models
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
