A long cylindrical shell outer radius R₂ = 2 cm is shown in cylindrical shell temperature Ti=10 c" and outer Wall at constant temperature T₂ = 20 C² Calculate the temperature at r= 1.5 cm ( Consider conduction only) • in of inner radius R₁=1cm and the figure. The radial + is maintained at Given: The differential The system is: I JT J²T dr² r dr Length L=lom inner Assumptions: system is steady state • Thermal conductivity, K = 22.5 w/mc, is • system follows Fourier's law of heat Heat loss in axial direction = 0 Wall of Constant is maintained Ti R₁ Rz constant. conduction. is negligible. equation representing Tz
A long cylindrical shell outer radius R₂ = 2 cm is shown in cylindrical shell temperature Ti=10 c" and outer Wall at constant temperature T₂ = 20 C² Calculate the temperature at r= 1.5 cm ( Consider conduction only) • in of inner radius R₁=1cm and the figure. The radial + is maintained at Given: The differential The system is: I JT J²T dr² r dr Length L=lom inner Assumptions: system is steady state • Thermal conductivity, K = 22.5 w/mc, is • system follows Fourier's law of heat Heat loss in axial direction = 0 Wall of Constant is maintained Ti R₁ Rz constant. conduction. is negligible. equation representing Tz
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:1
.
A long cylindrical shell
outer radius
R₂ = 2 cm
is
shown
in
cylindrical
shell
is
temperature Ti=10 c° and outer wall
at
Constant temperature T₂ = 20 C°
Calculate the temperature at r= 1.5 cm
(Consider
conduction only)
Assumptions:
system is
Thermal
in
Given: The
of inner
and
the figure. The
radial
+
The differential
The system is:
J²T
dr²
r
maintained at
steady state
conductivity, K = 22.5 w/mc,
system follows Fourier's law of heat
Heat loss in axial direction is negligible.
JT
dr
radius Ri=1cm
Length L=lom
inner
Wall
Constant
is maintained
= 0
of
is
Ti
RI
R₂
constant.
conduction.
equation representing
Tz
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