Critical Rayleigh Number -- from Eric Weisstein's World of Physics

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Critical Rayleigh Number

The unset of turbulent fluid flow occurs at a critical Rayleigh number given by

(1)

where a is the length scale. The minimum as a function of a occurs when

(2)

so rearranging gives

(3)

(4)

(5)

Therefore, , giving

(6)

Convection, Linear Stability Theory, Nusselt Number, Rayleigh Number, Squire's Theorem


© 1996-2007 Eric W. Weisstein

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