Heat Transfer by Conduction through a Cylindrical Wall

This calculation determines the heat transfer through a cylinder wall by conduction.

 

Heat Transfer by Conduction through a Cylindrical Wall formula
\(\large{ Q_c = \frac { 2 \; \pi \; k \; l \; \left( T_1 \;-\; T_2 \right) }  { ln \; \left( \frac {r_2 }{ r_1 } \right) } }\)
Symbol	English	Metric
\(\large{ Q_c }\) = heat transfer by conduction	\(\large{\frac{Btu}{hr}}\)	\(\large{W}\)
\(\large{ l }\) = length of material	\(\large{ft}\)	\(\large{m}\)
\(\large{ r_1 }\) = radius inside diameter (ID)	\(\large{in}\)	\(\large{mm}\)
\(\large{ r_2 }\) = radius outside diameter (OD)	\(\large{in}\)	\(\large{mm}\)
\(\large{ T_1 }\) = temperature of one surface of the wall	\(\large{F}\)	\(\large{K}\)
\(\large{ T_2 }\) = temperature of the other surface of the wall	\(\large{F}\)	\(\large{K}\)
\(\large{ k }\) = thermal conductivity	\(\large{\frac{Btu-ft}{hr-ft^2-F}}\)	\(\large{\frac{W}{m-K}}\)

 

Heat Transfer by Conduction through a Cylindrical Wall Calculator