The falling raindrop, revisited

Alan D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    I reconsider the problem of a raindrop falling through mist, collecting mass, and generalize it to allow an arbitrary power-law form for the accretion rate. I show that the coupled differential equations can be solved by the simple trick of temporarily eliminating time in favor of the raindrop's mass as the independent variable.

    Original languageEnglish (US)
    Article number014912AJP
    Pages (from-to)643-645
    Number of pages3
    JournalAmerican Journal of Physics
    Volume78
    Issue number6
    DOIs
    StatePublished - May 2010

    Fingerprint

    raindrops
    falling
    mist
    differential equations

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    The falling raindrop, revisited. / Sokal, Alan D.

    In: American Journal of Physics, Vol. 78, No. 6, 014912AJP, 05.2010, p. 643-645.

    Research output: Contribution to journalArticle

    Sokal, AD 2010, 'The falling raindrop, revisited', American Journal of Physics, vol. 78, no. 6, 014912AJP, pp. 643-645. https://doi.org/10.1119/1.3246871
    Sokal, Alan D. / The falling raindrop, revisited. In: American Journal of Physics. 2010 ; Vol. 78, No. 6. pp. 643-645.
    @article{9e70947126cb453ea000cafe5fab2124,
    title = "The falling raindrop, revisited",
    abstract = "I reconsider the problem of a raindrop falling through mist, collecting mass, and generalize it to allow an arbitrary power-law form for the accretion rate. I show that the coupled differential equations can be solved by the simple trick of temporarily eliminating time in favor of the raindrop's mass as the independent variable.",
    author = "Sokal, {Alan D.}",
    year = "2010",
    month = "5",
    doi = "10.1119/1.3246871",
    language = "English (US)",
    volume = "78",
    pages = "643--645",
    journal = "American Journal of Physics",
    issn = "0002-9505",
    publisher = "American Association of Physics Teachers",
    number = "6",

    }

    TY - JOUR

    T1 - The falling raindrop, revisited

    AU - Sokal, Alan D.

    PY - 2010/5

    Y1 - 2010/5

    N2 - I reconsider the problem of a raindrop falling through mist, collecting mass, and generalize it to allow an arbitrary power-law form for the accretion rate. I show that the coupled differential equations can be solved by the simple trick of temporarily eliminating time in favor of the raindrop's mass as the independent variable.

    AB - I reconsider the problem of a raindrop falling through mist, collecting mass, and generalize it to allow an arbitrary power-law form for the accretion rate. I show that the coupled differential equations can be solved by the simple trick of temporarily eliminating time in favor of the raindrop's mass as the independent variable.

    UR - http://www.scopus.com/inward/record.url?scp=77953546675&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=77953546675&partnerID=8YFLogxK

    U2 - 10.1119/1.3246871

    DO - 10.1119/1.3246871

    M3 - Article

    VL - 78

    SP - 643

    EP - 645

    JO - American Journal of Physics

    JF - American Journal of Physics

    SN - 0002-9505

    IS - 6

    M1 - 014912AJP

    ER -