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

  • Identification data

    Identifier: imarina:9282632
    Authors:
    Herrera BPallares JReventós 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.
  • Others:

    Author, as appears in the article.: Herrera B; Pallares J; Reventós A
    Department: Enginyeria Mecànica
    URV's Author/s: Herrera Gómez, Blas / Pallarés Curto, Jorge María
    Keywords: Structure of flows Geometry of flows
    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.
    Thematic Areas: Mathematics (miscellaneous) Mathematics (all) Mathematics Matemática / probabilidade e estatística General mathematics Astronomia / física
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: jordi.pallares@urv.cat blas.herrera@urv.cat
    Author identifier: 0000-0003-0305-2714 0000-0003-2924-9195
    Record's date: 2023-04-30
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: http://siba-ese.unisalento.it/index.php/notemat/article/view/16627
    Papper original source: Note Di Matematica. 36 (2): 37-47
    APA: Herrera B; Pallares J; Reventós A (2016). Geometric characterization of the rotation centers of a particle in a flow. Note Di Matematica, 36(2), 37-47. DOI: 10.1285/i15900932v36n2p37
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Article's DOI: 10.1285/i15900932v36n2p37
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2016
    Publication Type: Journal Publications
  • Keywords:

    Mathematics,Mathematics (Miscellaneous)
    Structure of flows
    Geometry of flows
    Mathematics (miscellaneous)
    Mathematics (all)
    Mathematics
    Matemática / probabilidade e estatística
    General mathematics
    Astronomia / física
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