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Mathematical model of Heat Transfer Coefficient through the annulus gap between concentric concentric pipes filled  filled with solid body:

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anchorNu_tiU
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U = \frac{\lambda}{dr_h{in} \,cdot {\rm Nu}ln (r_{out}/r_{in})} 

where

LaTeX Math Inline
body\lambda

thermal conductivity 
of flowing fluid
of the solid body

LaTeX Math Inline
body--uriencoded--r_%7Bout%7D

inner radius of outer pipe

LaTeX Math Inline
body--uriencoded--r_%7Bin%7D

outer radius of inner pipe


For the thin walls 

LaTeX Math Inline
body

...

--uriencoded--h \ll r_%7Bin%7D
the 
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anchorU
 equation simplifies to:

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anchorP6WC5
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U = \frac{\lambda}{h} 

where

LaTeX Math Inline
body

\rm Nudimensionless Nusselt number (Nu)

--uriencoded--h= r_%7Bout%7D-r_%7Bin%7D

wall thickness


See also

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Physics / Thermodynamics / Heat Transfer /  Heat Transfer Coefficient (HTC) / Heat Transfer Coefficient (HTC) @model

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