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LaTeX Math Block
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\frac{1}{ r_{ti} \, U} = \frac{1}{r_{ti} \, U_{ti}} + \frac{1}{\lambda_t} \, \ln \frac{r_t}{r_{ti}} +
+ \frac{1}{\lambda_{a,r_t \rm eff}} \ln \frac{r, U_{ciann}}{r_t} +
\frac{1}{\lambda_c} \ln \frac{r_c}{r_{ci}} + \frac{1}{\lambda_{cem}} \ln \frac{r_w}{r_c} 

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LaTeX Math Inline
bodyr_t

outer radius of tubing

Image Modified

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

inner radius of the tubing

LaTeX Math Inline
body--uriencoded--h_t = r_t - r_%7Bti%7D

tubing wall thickness

LaTeX Math Inline
bodyr_c

outer radius of casing

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

inner radius of the casing

LaTeX Math Inline
bodyh_c = r_c - r_i

casing wall thickness

LaTeX Math Inline
body\lambda_t

thermal conductivity of tubing material

LaTeX Math Inline
body\lambda

thermal conductivity of fluid moving through the tubing

LaTeX Math Inline
body--uriencoded--\lambda_%7Ba, \rm eff%7D %7Bann%7D = \lambda_a \cdot \epsilon_a

effective thermal conductivity of the annulus 

LaTeX Math Inline
body\epsilon_a

Natural Convection Heat Transfer Multiplier

LaTeX Math Inline
body\lambda_a

thermal conductivity of fluid in the annulus

LaTeX Math Inline
body--uriencoded--\displaystyle U_%7Bti%7D = \frac%7B\lambda%7D%7B2 \, r_%7Bti%7D%7D \, %7B\rm Nu%7D_%7Bti%7D

heat transfer coefficient (HTC)
between inner surface of tubing and moving fluid

LaTeX Math Inline
body--uriencoded--\displaystyle U_%7Bann%7D = \frac%7B\lambda%7D%7B2 \, r_t%7D \, %7B\rm Nu%7D_%7Bann%7D

heat transfer coefficient (HTC) of the annulus 


See also

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

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