Heat Transfer - Chapter 3 - Cylindrical Systems - Temperature profile, Thermal Resistance, U-Value

In this video, we solve the heat equation for a 1-D cylindrical wall system. From this, we get the temperature profile, flux profile, and heat flow profile. We define thermal resistances and discuss composite wall systems, in addition to defining U (the overall heat transfer coefficient).

[@chibigon01]

Nice and simple analysis of the HT equation in cylindrical systems. Thank you.

[@samMe-vs1cx]

Great work.thanks

[@ivanaristover]

Great explaination. How'd you calculate for radial heat flux though solid cylinder? Thank you.

[@patrickobogo7779]

Thanks alot.

[@evokeer1929]

What happens to the equation of total heat rate q_r if we add an outer wall "T_surrounding" and attribute an emissivity to the surface?

[@jpmarquez49]

Once you have the heat rate q_r you add the resistance of the new wall to the Sum of thermal resistances, then you use the emissivity to calculate the new rate of heat that is coming out of the new wall (this one should be minor than the original q_r). Then you have the net value of the heat rate that is going to be in direct contact to the fluid. That way you have q_{new r}= Delta(T)/Sum(Thermal Resistance), beacuse Delta(T) is T_{fluid in the middle} - T_surrounding, you can find now T_surrounding.
T_{surrounding} = T_{fluid in the middle} - Sum(Th. Res.) * q_{new r}