Taylor dispersion of elongated rods

Particles transported in fluid flows, such as cells, polymers, or nanorods, are rarely spherical. In this study, we numerically and theoretically investigate the dispersion of an initially localized patch passive elongated Brownian particles constrained to one degree rotational freedom a two-dimensional Poiseuille flow, demonstrating that exhibit enhanced longitudinal dispersion. shear rods translate due advection diffusion rotate their classical Jeffery's orbit. The magnitude depends on particle's aspect ratio relative importance its shear-induced diffusivity. When dominates, recover Taylor result for spreading rate using orientationally averaged translational diffusivity rods. However, high-shear limit, tend align with flow ultimately disperse more anisotropic diffusivities. Results from our Monte Carlo simulations particle captured remarkably well by simple theory inspired Taylor's original work. For long times large Peclet numbers, effective one-dimensional transport equation is derived integral expressions particles' speed coefficient. coefficient can be collapsed along single curve high ratio, representing correction factor extends prediction particles.