Chaotic Convection in a Simple System Modified by Differential Heating

Yasumasa Ookouchi, Tohru Hada

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    In this report, a modified Lorenz system is introduced for describing convective motion heated from below with a sinusoidal differential heating. The system includes two additional terms which intensifies the vorticity and stabilizes the temperature field. These two terms bring a new complex behavior. For a large horizontal temperature difference, the onset of chaotic convection is suppressed by the temperature difference and the marginal Rayleigh number is proportional to h2, where h is the horizontal difference in Rayleigh numbers. However, chaotic convection appears in a broad range of Rayleigh numbers.

    Original languageEnglish
    Pages (from-to)369-378
    Number of pages10
    Journaljournal of the physical society of japan
    Volume66
    Issue number2
    DOIs
    Publication statusPublished - Jan 1 1997

    Fingerprint

    Rayleigh number
    convection
    heating
    temperature gradients
    vorticity
    temperature distribution

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

    Cite this

    Chaotic Convection in a Simple System Modified by Differential Heating. / Ookouchi, Yasumasa; Hada, Tohru.

    In: journal of the physical society of japan, Vol. 66, No. 2, 01.01.1997, p. 369-378.

    Research output: Contribution to journalArticle

    @article{54b13b9151544eaabcb82e8fd0c841c2,
    title = "Chaotic Convection in a Simple System Modified by Differential Heating",
    abstract = "In this report, a modified Lorenz system is introduced for describing convective motion heated from below with a sinusoidal differential heating. The system includes two additional terms which intensifies the vorticity and stabilizes the temperature field. These two terms bring a new complex behavior. For a large horizontal temperature difference, the onset of chaotic convection is suppressed by the temperature difference and the marginal Rayleigh number is proportional to h2, where h is the horizontal difference in Rayleigh numbers. However, chaotic convection appears in a broad range of Rayleigh numbers.",
    author = "Yasumasa Ookouchi and Tohru Hada",
    year = "1997",
    month = "1",
    day = "1",
    doi = "10.1143/JPSJ.66.369",
    language = "English",
    volume = "66",
    pages = "369--378",
    journal = "Journal of the Physical Society of Japan",
    issn = "0031-9015",
    publisher = "Physical Society of Japan",
    number = "2",

    }

    TY - JOUR

    T1 - Chaotic Convection in a Simple System Modified by Differential Heating

    AU - Ookouchi, Yasumasa

    AU - Hada, Tohru

    PY - 1997/1/1

    Y1 - 1997/1/1

    N2 - In this report, a modified Lorenz system is introduced for describing convective motion heated from below with a sinusoidal differential heating. The system includes two additional terms which intensifies the vorticity and stabilizes the temperature field. These two terms bring a new complex behavior. For a large horizontal temperature difference, the onset of chaotic convection is suppressed by the temperature difference and the marginal Rayleigh number is proportional to h2, where h is the horizontal difference in Rayleigh numbers. However, chaotic convection appears in a broad range of Rayleigh numbers.

    AB - In this report, a modified Lorenz system is introduced for describing convective motion heated from below with a sinusoidal differential heating. The system includes two additional terms which intensifies the vorticity and stabilizes the temperature field. These two terms bring a new complex behavior. For a large horizontal temperature difference, the onset of chaotic convection is suppressed by the temperature difference and the marginal Rayleigh number is proportional to h2, where h is the horizontal difference in Rayleigh numbers. However, chaotic convection appears in a broad range of Rayleigh numbers.

    UR - http://www.scopus.com/inward/record.url?scp=0031496598&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0031496598&partnerID=8YFLogxK

    U2 - 10.1143/JPSJ.66.369

    DO - 10.1143/JPSJ.66.369

    M3 - Article

    VL - 66

    SP - 369

    EP - 378

    JO - Journal of the Physical Society of Japan

    JF - Journal of the Physical Society of Japan

    SN - 0031-9015

    IS - 2

    ER -