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LaTeX Math Block
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\frac{1}{ dr_{ti} \, U} = \frac{1}{dr_{ti} \, U_{ti}} + \frac{1}{\lambda_t} \, \ln \frac{dr_t}{dr_{ti}} +
+ \frac{1}{\lambda_{a, \rm eff}} \ln \frac{dr_{ci}}{dr_t} +
\frac{1}{\lambda_c} \ln \frac{dr_c}{dr_{ci}} + \frac{1}{\lambda_{cem}} \ln \frac{dr_w}{dr_c} 

where

r_%7Bti%7D))--uriencoded--r_%7Bci%7D)

LaTeX Math Inline
bodyd_t = 2 \cdot r_t

outer radius of tubing (with outer radius

LaTeX Math Inline
bodyr_t
)

LaTeX Math Inline
body--uriencoded--d_%7Bti%7D = 2 \cdot r_%7Bti%7D

inner diameter radius of the tubing (with inner radius

LaTeX Math Inline
body--uriencoded--

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

tubing wall thickness

LaTeX Math Inline
bodyd_c = 2 \cdot r_c

outer radius of casing (with outer radius

LaTeX Math Inline
body

r_c

LaTeX Math Inline
body--uriencoded--d_%7Bci%7D = 2 \cdot r_%7Bci%7D

inner diameter radius of the casing (with inner radius

LaTeX Math Inline
body

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 = \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 \lambda%7D%7Bd, r_%7Bti%7D%7D \, %7B\rm Nu%7D_%7Bti%7D

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

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