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Supplementary material to "Aggregation of Slightly Buoyant Microplastics in Three-Dimensional Vortex Flows"
Summary
This is the supplementary mathematical appendix for the study on buoyant microplastic aggregation in three-dimensional vortex flows. The mathematical framework describes how microplastic particles with slight buoyancy deviate from fluid streamlines and accumulate in ocean eddy regions.
written in the formLet ̃= ( - )/ represent a fast time variable, and consider the particle position and velocity to be functions of t and , which are formally treated as separate variables.Thus / is replaced by -1 / ̃+ /, where it is understood that both / and / ̃ are to be interpreted as particle-following derivatives (and not derivatives with position held constant).Note that the
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