Rayleigh number

Input(s)

g: Acceleration due to Earth's gravity (m/s2)\left(\mathrm{m} / \mathrm{s}^{2}\right)

β\beta: Volumetric thermal expansion coefficient (K)(\mathrm{K})

Ts: Surface temperature (K)(\mathrm{K})

Ti: Bulk temperature (K)(\mathrm{K})

x\mathrm{x}: Characteristic Length (m)(\mathrm{m})

v: Kinematic viscosity (m2/s)\left(\mathrm{m}^{2} / \mathrm{s}\right)

α\alpha: Thermal Conductivity of fluid (K)

Output(s)

Ra\mathrm{Ra}: Rayleigh number (dimensionless)

Formula(s)

Ra=gβ(TsTi)x3vα\mathrm{Ra}=\frac{\mathrm{g} * \beta *(\mathrm{Ts}-\mathrm{Ti}) * \mathrm{x}^{3}}{\mathrm{v} * \alpha}

Reference(s)

Wikipedia.org.


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