1-1) What is the total thermal resistance between T₁ and 72 for case (a), Ruota. The answer should be given in the unit of K/W. 1-2) What is the total thermal resistance between Ti and 72 for case (b), Rtot,b. The answer should be given in the unit of K/W.
1-1) What is the total thermal resistance between T₁ and 72 for case (a), Ruota. The answer should be given in the unit of K/W. 1-2) What is the total thermal resistance between Ti and 72 for case (b), Rtot,b. The answer should be given in the unit of K/W.
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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Question
![Composite walls with no heat generation may also be characterized by series-parallel
configurations, as shown in the following figure. Although the heat flow is now
multidimensional, it is often reasonable to assume one-dimensional conditions. Subject to this
assumption, two different thermal circuits may be used. For case (a), it is presumed that
surfaces normal to the x-direction are isothermal, while for case (b), it is assumed that surfaces
parallel to the x-direction are adiabatic. Different results are obtained for the total thermal
resistance for conduction. Here important geometrical information and thermal conductivity
information are as follows.
Length: LE-LF-LG=LH=L=1 m
Area perpendicular to x-axis: A for sections E and H, 4/2 for sections F and G where A=1 m²
Thermal conductivity: ke-ke-ku-k and ke-a-k where k-50 W/(mK) and a-10.
1-1) What is the total thermal resistance between T₁ and T2 for case (a), Rtota. The answer
should be given in the unit of K/W.
1-2)
What is the total thermal resistance between Ti and 72 for case (b), Rtot,b. The answer
should be given in the unit of K/W.
1-3)
If a is infinitely large, what is the ratio between the total thermal resistances for cases
(a) and (b), Rtot,a/Rtot,b?
1455
-4 = 46°
Area, A
T₁-
La
ke
42
OTI LE
CA/25
ww
G
F
L
(2)
kg (4/2)
(a)
k(A/2)
4
(1/2)
H
444
44
k(A/2)
44
(472)
/2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ef8672a-c817-4df4-9c54-03384a0f10ce%2F41a990c3-15e3-4dd2-95cb-4bcf148b5284%2F57jm95_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Composite walls with no heat generation may also be characterized by series-parallel
configurations, as shown in the following figure. Although the heat flow is now
multidimensional, it is often reasonable to assume one-dimensional conditions. Subject to this
assumption, two different thermal circuits may be used. For case (a), it is presumed that
surfaces normal to the x-direction are isothermal, while for case (b), it is assumed that surfaces
parallel to the x-direction are adiabatic. Different results are obtained for the total thermal
resistance for conduction. Here important geometrical information and thermal conductivity
information are as follows.
Length: LE-LF-LG=LH=L=1 m
Area perpendicular to x-axis: A for sections E and H, 4/2 for sections F and G where A=1 m²
Thermal conductivity: ke-ke-ku-k and ke-a-k where k-50 W/(mK) and a-10.
1-1) What is the total thermal resistance between T₁ and T2 for case (a), Rtota. The answer
should be given in the unit of K/W.
1-2)
What is the total thermal resistance between Ti and 72 for case (b), Rtot,b. The answer
should be given in the unit of K/W.
1-3)
If a is infinitely large, what is the ratio between the total thermal resistances for cases
(a) and (b), Rtot,a/Rtot,b?
1455
-4 = 46°
Area, A
T₁-
La
ke
42
OTI LE
CA/25
ww
G
F
L
(2)
kg (4/2)
(a)
k(A/2)
4
(1/2)
H
444
44
k(A/2)
44
(472)
/2
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