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Grashof number, surface to air

Symbol
$\mathrm{Gr}_{prot}$
Formulae
$\frac{g \beta_{gas} {D_o}^3}{{\nu_{gas}}^2} \left(\theta_e-\theta_{film}\right)$
Related
$\beta_{gas}$
Volumetric thermal expansion coefficient for gas [1/K]
$D_o$
Outer diameter [m]
$g$
Standard acceleration of gravity [m/s$^2$]
$\nu_{gas}$
Kinematic viscosity for gas [m$^2$/s]
$\theta_e$
External temperature of the object [°C]
$\theta_{film}$
Film temperature [°C]
Used in
$\mathrm{Ra}_{prot}$
Rayleigh number, surface to air