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Taylor dispersion of elongated rods at small and large rotational Péclet numbers
Phys. Rev. Fluids 7, 014502 – Published 27 January, 2022
DOI: https://doi.org/10.1103/PhysRevFluids.7.014502
Abstract
Recently, Kumar et al. analyzed the Taylor dispersion of prolate spheroidal particles in a steady two-dimensional Poiseuille flow between parallel rigid walls [A. H. Kumar et al., Taylor dispersion of elongated rods, Phys. Rev. Fluids 6, 094501 (2021)]. They showed that the dispersivity of a spheroid is enhanced relative to that of an equivalent sphere whose translational diffusivity is equal to the orientation-averaged translational diffusivity of the spheroid. The largest enhancement in dispersivity occurs for elongated spheroids at large rotational Péclet numbers. The main purpose of this paper is to derive asymptotic approximations of the dispersivity and mean particle advection speed in these limits. Asymptotic approximations of these quantities at small rotational Péclet numbers are also presented.
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References (3)
- A. H. Kumar, S. J. Thomson, T. R. Powers, and D. M. Harris, Taylor dispersion of elongated rods, Phys. Rev. Fluids 6, 094501 (2021).
- H. Brenner, Orientation-space boundary layers in problems of rotational diffusion and convection at large rotary Péclet numbers, J. Colloid Interface Sci. 34, 103 (1970).
- E. J. Hinch, Perturbation Methods (Cambridge University Press, Cambridge, 1991).
