Question: The cylindrical system illustrated has negligible variation of temperature in the rand z directions. Assume that r = ro - ri is small compared to

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.

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(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?

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