Geometric characterization of the rotation centers of a particle in a flow

Identifier:  imarina:9282632

Handle: https://hdl.handle.net/20.500.11797/imarina9282632

Authors:  Herrera, B; Pallares, J; Reventós, A

Abstract:
We provide a geometrical characterization of the instantaneous rotation centers O (p, t) of a particle in a flow F over time t. Specifically, we will prove that: a) at a specific instant t, the point O (p, t) is the center of curvature at the vertex of the parabola which best fits the path-particle line ? (t) on its Darboux plane at p, and b) over time t, the geometrical locus of O (p, t) is the line of striction of the principal normal surface generated by ? (t). © 2016 Universitá del Salento.