All Problems

Transport Phenomena

Problem 2.254

Find the temperature distribution in the space between two coaxial cylinders of radii \(R_{1}\) and \(R_{2}\) filled with a uniform heat conducting substance if the temperatures of the cylinders are constant and are equal to \(T_{1}\) and \(T_{2}\) respectively

Reveal Answer
T=T1+T2T1ln(R2/R1)lnrR1T=T_{1}+\frac{T_{2}-T_{1}}{\ln \left(R_{2} / R_{1}\right)} \ln \frac{r}{R_{1}}