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In Natural Fluid Convection becomes dependant on Rayleigh number 

LaTeX Math Inline
body\rm Ra
 and Prandtl number 
LaTeX Math Inline
body\rm Pr
LaTeX Math Inline
body--uriencoded--\mbox%7BNu%7D = f (\mbox%7BRa%7D, \mbox%7BPr%7D)
. Churchill


Churchill and Chu

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LaTeX Math Inline
body--uriencoded--\mbox%7BRa%7D \leq 10%5e8

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LaTeX Math Block
anchor4VZDP
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\mbox{Nu}= \left[ 0.825 + \frac{0.387 \, \mbox{Ra}^{1/6}}{ \left[ 1+ (0.492/\mbox{Pr})^{9/16} \right]^{8/27}} \right]^2

Image Added

All flow regimes

Churchill and Chu


LaTeX Math Block
anchor4VZDP
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\mbox{Nu}= 0.68 + \frac{0.663 \, \mbox{Ra}^{1/4}}{ \left[ 1+ (0.492/\mbox{Pr})^{9/16} \right]^{4/9}}



Laminar flows

LaTeX Math Inline
body--uriencoded--\mbox%7BRa%7D \leq 10%5e9

 Churchill and Chu correlation which works with :






Forced Convection

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In Forced Fluid Convection the 
Nusselt number becomes dependant on Reynolds number 

LaTeX Math Inline
body\rm Re
 and Prandtl number 
LaTeX Math Inline
body\rm Pr
LaTeX Math Inline
body--uriencoded--\mbox%7BNu%7D = f (\mbox%7BRe%7D, \mbox%7BPr%7D)
.

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