(5) Consider a wall (as shown above) of thickness L=1 m and thermal conductivity k-1 W/m-K. The left (x=0) and the right (x=1 m) surfaces of the wall are subject to convection with a convectional heat transfer coefficient h=1 W/m²K and an ambient temperature T-1 K. Heat generation inside the wall is q=1W/m³. You may assume 1-D heat transfer, steady state condition, and neglect any thermal contact resistance. Find T(x).

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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.12P
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#m
3
E
D
C
F3
$
4
R
F
Ac = 1m²
V
Too,1=1 K
h₁ = 1 W/m²K
(5) Consider a wall (as shown above) of thickness L=1 m and thermal conductivity k-1 W/m-K. The left
(x=0) and the right (x=1 m) surfaces of the wall are subject to convection with a convectional heat
transfer coefficient h = 1 W/m²K and an ambient temperature T.= 1 K. Heat generation inside the wall is
q=1W/m³. You may assume 1-D heat transfer, steady state condition, and neglect any thermal contact
resistance. Find T(x).
44
%
5
Q Search
F5
T
G
T₁
B
x=0
*
A
6
q=1 W/m³
k= 1W/mK
L=1m
F6
Y
H
F7
&
7
T₂
x= 1 m
U
N
Top 2 = 1 K
h₂=1 W/m²K
PrtScn
F8
8
Home
M
F9
(
9
K
End
F10
0
L
PgUp
Transcribed Image Text:#m 3 E D C F3 $ 4 R F Ac = 1m² V Too,1=1 K h₁ = 1 W/m²K (5) Consider a wall (as shown above) of thickness L=1 m and thermal conductivity k-1 W/m-K. The left (x=0) and the right (x=1 m) surfaces of the wall are subject to convection with a convectional heat transfer coefficient h = 1 W/m²K and an ambient temperature T.= 1 K. Heat generation inside the wall is q=1W/m³. You may assume 1-D heat transfer, steady state condition, and neglect any thermal contact resistance. Find T(x). 44 % 5 Q Search F5 T G T₁ B x=0 * A 6 q=1 W/m³ k= 1W/mK L=1m F6 Y H F7 & 7 T₂ x= 1 m U N Top 2 = 1 K h₂=1 W/m²K PrtScn F8 8 Home M F9 ( 9 K End F10 0 L PgUp
Expert Solution
Step 1

Givenq˙=1W/m3k=1W/mKL=1mon both side of wallT=1K  h1=1W/m2KA=1m2Assumption made-1D heat transfersteady state neglect contact air resistance 

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