Power law of horizontal convection at high Rayleigh numbers | Zendy

Liang Sun | Zendy; Yifeng Sun | Zendy; Dongjun Ma | Zendy; Sun Dejun | Zendy

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Power law of horizontal convection at high Rayleigh numbers

Author(s) -

Liang Sun,

Yifeng Sun,

Dongjun Ma,

Sun Dejun

Publication year - 2007

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.56.6503

Subject(s) - convection , power (physics) , rayleigh number , power law , mechanics , computer science , natural convection , law , physics , thermodynamics , mathematics , political science , statistics

The horizontal convection at high Rayleigh number (Ra) in a rectangle cavity with aspect ratio of 1∶10 is numerically simulated. The horizontal convection is an important model to understand the ocean circulation and the power laws of the flow are the most concerned. According to the results within the regime of 104Ra11, three continuous regimes are obtained: the linear regime (104Ra6), the transition regime (106Ra8) and the 1/5-power law regime (108Ra11). For the flow strength, a 1/3-power law of Ra is fitted when Ra is not high enough (107Ra8). However, a 1/5-power law is obtained when Ra is high enough (108Ra11). The 1/5-power law confirms the analysis of Rossby and implies that 1/3-power law of Ra for Nusselt number by Siggers et al. is an over estimation.

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