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[ Dimensionless Heat Transfer Numbers ] [ Prandtl number ] [ Grashof number ] 


Show If
grouparax


Panel
bgColorpapayawhip
titleARAX

For the Natural Thermal Convection in the annulus between two concentric pipes:

LaTeX Math Block
anchor4LI0Z
alignmentleft
\mbox{Ra}_D = \frac{8}{(D_o - D_i)^3} \cdot \frac{ \left[ \ln D_o/D_i \right]^4 }{D_i^{-3/5}+D_o^{-3/5}}  \cdot \mbox{Ra}_L =
 \frac{ \left[ \ln D_o/D_i \right]^4 }{D_i^{-3/5}+D_o^{-3/5}} \cdot \frac{g \, \beta \, \Delta T }{\nu \cdot a}

where

LaTeX Math Inline
bodyD_o

outer pipe

LaTeX Math Inline
bodyD_i

inner pipe

LaTeX Math Inline
bodyL = 0.5 \cdot ( D_o - D_i)

annulus gap