Sanagavarapu, PK and Subramanian, G and Nott, PR (2022) Shape dynamics and rheology of dilute suspensions of elastic and viscoelastic particles. In: Journal of Fluid Mechanics, 949 .
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Abstract
This paper examines the shape dynamics of deformable elastic and viscoelastic particles in an ambient Newtonian fluid subjected to simple shear. The particles are allowed to undergo large deformation, with the elastic stress determined using the neo-Hookean constitutive relation. We first present a method to determine the shape dynamics of initially ellipsoidal particles that is an extension of the method of Roscoe (J. Fluid Mech., vol. 28, issue 2, 1967, pp. 273-293), originally used to determine the shape at steady state of an initially spherical particle. We show that our method recovers earlier results for the in-plane trembling and tumbling dynamics of initially prolate spheroids in simple shear flow, obtained by a different approach. We then examine the in-plane dynamics of oblate spheroids and triaxial ellipsoids in simple shear flow, and show that they too, like prolate spheroids, exhibit time-periodic tumbling or trembling dynamics, depending on the initial aspect ratios of the particle and the elastic capillary number, where is the viscosity of the fluid, is the elastic shear modulus of the particle and is the shear rate. In addition, we find a novel state wherein the particle extends indefinitely in time and asymptotically aligns with the flow axis. We demarcate all the dynamical regimes in the parameter space comprising and the initial particle aspect ratios. When the particles are viscoelastic, damped oscillatory dynamics is observed for initially spherical particles, and the tumbling-trembling boundary is altered for initially prolate spheroids so as to favour tumbling.
| Item Type: | Journal Article |
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| Publication: | Journal of Fluid Mechanics |
| Publisher: | Cambridge University Press |
| Additional Information: | The copyright for this article belongs to Author(s). |
| Keywords: | Aspect ratio; Deformation; Dynamics; Elasticity; Newtonian liquids; Shear flow; Viscoelasticity, Ambients; Capsule/cell dynamic; Cell dynamics; Dilute suspensions; Newtonian fluids; Prolate spheroid; Shape dynamics; Simple shear flow; Spherical particle; Viscoelastics, Suspensions (fluids) |
| Department/Centre: | Division of Mechanical Sciences > Chemical Engineering |
| Date Deposited: | 28 Oct 2022 07:39 |
| Last Modified: | 28 Oct 2022 07:39 |
| URI: | https://eprints.iisc.ac.in/id/eprint/77627 |
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