Transition to turbulence of a statically stressed fluid

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Boundary Layer Transition, Convective Flow, Free Convection, Stress Waves, Thermal Boundary Layer, Turbulent Boundary Layer, Benard Cells, Boussinesq Approximation, Gas Flow, Heat Flux, Helium, Rayleigh Number

Scientific paper

The approach to and development of turbulence of low-Prandtl-number fluids in the Rayleigh-Benard geometry is studied with truncated Boussinesq equations. Semiquantitative agreement is found with experimental results on helium for the turbulent threshold, and for the intensity and frequency spectrum of fluctuations at slightly higher Rayleigh numbers. It is argued that this transition conforms with abstract mathematical proposals of Ruelle and Takens, but that other transitions violate their picture.

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