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where 

LaTeX Math Inline
bodyU
 is the convective heat transfer coefficient of the flow, 
LaTeX Math Inline
bodyL
 is the characteristic length
LaTeX Math Inline
body\lambda
 is the thermal conductivity of the fluid.


For stagnant fluid and laminar flows the Nusselt number is a constant number (OEIS sequence A282581):

LaTeX Math Block
anchorNu0
alignmentleft
{\rm Nu}=3.66


For transient and turbulent flow in pipelines  Nusselt number can be estimated through empircal correlation (Gnielinski):

LaTeX Math Block
anchorNu
alignmentleft
{\rm Nu}=\frac{ (f/8) \, ({\rm Re} - 1000) {\rm Pr}  }{ 1 + 12.7 \, (f/8)^{1/2} \, ({\rm Pr}^{2/3} -1) }


where 

LaTeX Math Inline
body\rm Pr
 is Parndtl number.


See also

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Physics / Thermodynamics / Heat Transfer

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