Prog. Theor. Phys. Vol. 85 No. 4 (1991) pp. 687-691

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Letters

Advective Diffusion of Particles in Rayleigh-Bénard Convection

Katsuya Ouchi, Nobuyuki Mori,^* Takehiko Horita and Hazime Mori^*

Department of Physics, Kyushu University 33, Fukuoka 812
^*Faculty of Engineering, Kyushu Kyoritsu University, Kitakyushu 807

(Received March 29, 1990)

Abstract:

Diffusion of fluid particles by chaotic advection in two-dimensional temporally-periodic Rayleigh-Bénard convection is studied numerically and theoretically. The dependence of its diffusion constant D on the amplitude B of lateral oscillation is found to be proportional to √B (i.e., D ∝√B) with several fine-grained peaks.

URL : http://ptp.ipap.jp/link?PTP/85/687/
DOI : 10.1143/PTP.85.687

References:

T. H. Solomon and J. P. Gollub, Phys. Rev. A38 (1988), 6280, [APS]and references cited therein.
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1961), §§ 14, 15.
A. J. Lichtenberg and M. A. Lieberman, Regular and Stochastic Motion (Springer-Verlag, New York, 1982), chap. 3.
R. S. Mackay and J. D. Meiss, Hamiltonian Dynamical Systems (Adam Higler, Bristol, 1987).
H. Mori, H. Hata, T. Horita and T. Kobayashi, Prog. Theor. Phys. Suppl. No. 99 (1989), 1, [PTP]and references cited therein.
J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, New York, 1983).
D. S. Broomhead and S. C. Ryrie, Nonlinearity 1 (1988), 409.
T. Horita, H. Hata, R. Ishizaki and H. Meri, Prog. Theor. Phys. 83 (1990), 1065[PTP].
T. Horita and H. Mori, Physica D (submitted).

Citing Article(s) :

Progress of Theoretical Physics Vol. 88 No. 3 (1992) pp. 467-484 :
Anomalous Diffusion and Mixing in an Oscillating Rayleigh-Bénard Flow

Katsuya Ouchi and Hazime Mori
Progress of Theoretical Physics Vol. 89 No. 5 (1993) pp. 947-963 :
Anomalous Diffusion and Mixing of Chaotic Orbits in Hamiltonian Dynamical Systems

Ryuji Ishizaki, Takehiko Horita and Hazime Mori