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Rayleigh number
The Rayleigh number is a dimensionless number defined as the product of Grashof and Prandtl numbers. For free convection near a vertical wall, this number is
Rax,c=Grx,cPr = g β (Ts-T∞)x3
ν α
where
Ra Rayleigh number
Gr Grashof number
Pr Prandtl number
g gravity
Ts Temperature of surface
T∞ Quiescent temperature
ν kinematic viscosity
α thermal diffusivity
The Rayleigh number is named after Lord Rayleigh.
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