Conceptually, what is the integral of heat transfer rate, Q dot?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Conceptually, what is the integral of heat transfer rate, Q dot?

dT
- KA
dr
(W)
cond,
Q cond, cyl
dr
T2
k dT
r2
A
T=T,
|r=r¡
A
2urL
k
T - T,
Qcond, cyl
(W)
– T2
In(r2/r¡)
T — Т,
A long cylindrical pipe (or spherical
shell) with specified inner and outer
surface temperatures T, and T2.
(W)
Reyl
In(Outer radius/Inner radius)
In(r2/r¡)
Rcyl
2т Lk
2 X Length × Thermal conductivity
14
is the conduction resistance of the cylinder layer.
Transcribed Image Text:dT - KA dr (W) cond, Q cond, cyl dr T2 k dT r2 A T=T, |r=r¡ A 2urL k T - T, Qcond, cyl (W) – T2 In(r2/r¡) T — Т, A long cylindrical pipe (or spherical shell) with specified inner and outer surface temperatures T, and T2. (W) Reyl In(Outer radius/Inner radius) In(r2/r¡) Rcyl 2т Lk 2 X Length × Thermal conductivity 14 is the conduction resistance of the cylinder layer.
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