A cylindrical shell of inner and outer radii, ri and r0, respectively, is filled with a heat-generating
Question:
A cylindrical shell of inner and outer radii, ri and r0, respectively, is filled with a heat-generating material that provides a uniform volumetric generation rate (W/m3) of q. The inner surface is insulated, while the outer surface of the shell is exposed to a fluid at T∞ and a convection coefficient h.
(a) Obtain an expression for the steady-state temperature distribution, T(r), in the shell, expressing your result in terms of ri, r0, q, h, T∞, and the thermal conductivity k of the shell material.
(b) Determine an expression for the heat rate, q'(ro), at the outer radius of the shell in terms of q and shell dimensions.
Step by Step Answer:
KNOWN Cylindrical shell with uniform volumetric generation is insulated at inner surface and e...View the full answer
Fundamentals of Heat and Mass Transfer
ISBN: 978-0471457282
6th Edition
Authors: Incropera, Dewitt, Bergman, Lavine
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