The cylindrical system illustrated has negligible variation of temperature in the rand z directions. Assume that ∆r = ro - ri is small compared to r; and denote the length in the z direction, normal to the page, as L.

(a) Beginning with a properly defined control volume and considering energy generation and storage effects, derive the differential equation that prescribes the variation in temperature with the angular coordinate φ compare your result with Equation 2.24,

(b) For steady-state conditions with no internal heat generation and constant properties, determine the temperature distribution T (φ) in terms of the constants T1 T2, ri , and ro. Is this distribution linear in?

(c) For the conditions of part (b) write the expression for the heat rate qφ.

Transcribed Image Text:

-İnsulation fo T2