A composite one-dimensional plane wall is of overall thickness 2L. Material A spans the domain − L ≤ x < 0 and experiences an exothermic chemical reaction leading to a uniform volumetric generation rate of q A . Material B spans the domain 0 ≤ x ≤ L and undergoes an endothermic chemical reaction corresponding to a uniform volumetric generation rate of q . B = − q . A . The surfaces at x = ± L are insulated. Sketch the steady-state temperature and heat flux distributions T ( x ) and respectively, over the domain − L ≤ x ≤ L for k A = k B , k A = 0.5 k B , and k A = 2 k B . Point out the important features of the distributions you have drawn. If q . B = − 2 q . A , can you sketch the steady-state temperature distribution?
A composite one-dimensional plane wall is of overall thickness 2L. Material A spans the domain − L ≤ x < 0 and experiences an exothermic chemical reaction leading to a uniform volumetric generation rate of q A . Material B spans the domain 0 ≤ x ≤ L and undergoes an endothermic chemical reaction corresponding to a uniform volumetric generation rate of q . B = − q . A . The surfaces at x = ± L are insulated. Sketch the steady-state temperature and heat flux distributions T ( x ) and respectively, over the domain − L ≤ x ≤ L for k A = k B , k A = 0.5 k B , and k A = 2 k B . Point out the important features of the distributions you have drawn. If q . B = − 2 q . A , can you sketch the steady-state temperature distribution?
A composite one-dimensional plane wall is of overall thickness 2L. Material A spans the domain
−
L
≤
x
<
0
and experiences an exothermic chemical reaction leading to a uniform volumetric generation rate of
q
A
.
Material B spans the domain
0
≤
x
≤
L
and undergoes an endothermic chemical reaction corresponding to a uniform volumetric generation rate of
q
.
B
=
−
q
.
A
. The surfaces at
x
=
±
L
are insulated. Sketch the steady-state temperature and heat flux distributions
T
(
x
)
and respectively, over the domain
−
L
≤
x
≤
L
for
k
A
=
k
B
,
k
A
=
0.5
k
B
,
and
k
A
=
2
k
B
.
Point out the important features of the distributions you have drawn. If
q
.
B
=
−
2
q
.
A
,
can you sketch the steady-state temperature distribution?
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