Q2. Consider a cylinder of radius R with uniformly distributed heat sources and constant thermal conductivity. If the cylinder is sufficiently long that the temperature may be considered a function of radius only, the appropriate differential equation may be obtained by neglecting the axial, azimuth, and time-dependent terms in Equation dT 1 dT à tr2r dr Prove that To = +Tw 4k

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.19P
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Q2. Consider a cylinder of radius R with uniformly distributed heat
sources and constant thermal conductivity. If the cylinder is sufficiently long
that the temperature may be considered a function of radius only, the
appropriate differential equation may be obtained by neglecting the axial,
azimuth, and time-dependent terms in Equation
dT 1 dT à
drr dr 'k
Prove that
To =
+ Tw
4k
Transcribed Image Text:Q2. Consider a cylinder of radius R with uniformly distributed heat sources and constant thermal conductivity. If the cylinder is sufficiently long that the temperature may be considered a function of radius only, the appropriate differential equation may be obtained by neglecting the axial, azimuth, and time-dependent terms in Equation dT 1 dT à drr dr 'k Prove that To = + Tw 4k
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