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Dimensionless quantity characterising the development of Natural Thermal Convection:

(1) \mbox{Ra}_L = \mbox{Gr} \cdot \mbox{Pr} = \frac{g \, \beta \, \Delta T \, L^3}{\nu \cdot a}

where

\Delta T

Temperature gradient across Natural Thermal Convection

\nu

Kinematic viscosity of the fluid

\beta

Thermal expansion coefficient of the fluid

a

Thermal Diffusivity of the fluid

L

Characteristic length of Natural Thermal Convection

g

Standard gravity constant

\displaystyle {\rm Pr} = \frac{\nu}{a}

Prandtl number

\displaystyle {\rm Gr} = \frac{g \, \beta \, \Delta T \, L^3}{\nu^2}

Grashof number \displaystyle {\rm Pr} \frac{\nu}{a}

See also


Physics / Thermodynamics / Heat Transfer

Dimensionless Heat Transfer Numbers ]




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