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Dimensionless quantity 

(1) \mbox{Ri} = \frac{\rm Gr}{ {\rm Re}^2}

where

\rm Gr

Grashof number

\rm Re

Reynolds number

It is characterising the balance between  Natural Thermal Convection and Forced Thermal Convection: 

(2) \begin{cases} \mbox{Ri} \gg 1 & \mbox{forced convection may be ignored} \\ \\ \mbox{Ri} \approx 1 & \mbox{combined forced and free convection} \\ \\ \mbox{Ri} \ll 1 & \mbox{ free convection may be neglected} \end{cases}

See also


Physics / Thermodynamics / Heat Transfer

Dimensionless Heat Transfer Numbers ]

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