Unformatted text preview: 1 (10 is appropriate for cold water; too high for air), r is the Rayleigh number 2 , and b is the aspect ratio of the vortex cell. For σ = 10, r = 28, and b = 8 / 3, the solution is a strange attractor with fractal dimension ≈ 2 . 06. Take the initial conditions x (0) = 0, y (0) = 1, and z (0) = 0, with t f = 30. 1 Dimensionless ratio ν/κ of momentum diFusivity (kinematic viscosity) to thermal diFusivity. 2 Dimensionless number describing heat ±ow—if the Rayleigh number is below (above) a critical value, heat transfer is dominated by conduction (convection)....
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 Fall '11
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 Fluid Mechanics, Chaos Theory, Equations, Convection, Heat, Shaw Oscillator Equations

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