ARTICLE:

• A NUMERICAL STUDY OF THE STABILITY OF SQUARES IN RAYLEIGH-BENARD CONVECTION  download article

Hossein Khorasanizadeh
School of Mechanical and Manufacturing Engineering, The University of New South Wales, Sydney, Australia, 2052

Eddie Leonardi
Computational Fluid Dynamics Research Laboratory, School of Mechanical and Manufacturing Engineering, The University of New South Wales, Sydney, Australia 2052

John Reizes
University of New South Wales

ABSTRACT

In addition to having many practical thermal engineering applications such as thermal comfort, solidification processes, electronic equipment cooling and earth mantle convection, Rayleigh-Benard convection represents the simplest fluid system which exhibits a sequence of transitions from two-dimensional laminar to more complicated three-dimensional and finally turbulent convection. It has been shown experimentally (White¹) and theoretically (Busse & Frick² and Christensen & Harder³) that square convective patterns become stable when there is variation of viscosity. The term “square” has been used originally for three-dimensional convective patterns with similar wavelengths in the two horizontal directions, even though this is not the general feature of the squares since they can exist with different horizontal wavelengths. In this paper stability of squares in both infinite and bounded domains is discussed.

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