Consider a spherical reactor of 5-cm diameter operating at steady conditions with a temperature variation that can be expressed in the form of T ( r ) = a − b r 2 , where a = 850 o C and b = 5 × 10 5 K/m 2 . The reactor is made of material with c = 200 J/kg . o C, k = 40 W/m .K, p = 9000 kg/m 3 . If the heat generation of the reactor is suddenly set to 9 MW/m 3 , determine the time rate of temperature change in the reactor. Is the heat generation of the reactor suddenly increased or decreased to 9 MW/m 3 from its steady operating condition?
Consider a spherical reactor of 5-cm diameter operating at steady conditions with a temperature variation that can be expressed in the form of T ( r ) = a − b r 2 , where a = 850 o C and b = 5 × 10 5 K/m 2 . The reactor is made of material with c = 200 J/kg . o C, k = 40 W/m .K, p = 9000 kg/m 3 . If the heat generation of the reactor is suddenly set to 9 MW/m 3 , determine the time rate of temperature change in the reactor. Is the heat generation of the reactor suddenly increased or decreased to 9 MW/m 3 from its steady operating condition?
Solution Summary: The author explains the time rate of temperature change in the reactor.
Consider a spherical reactor of 5-cm diameter operating at steady conditions with a temperature variation that can be expressed in the form of
T
(
r
)
=
a
−
b
r
2
,
where
a
=
850
o
C and b = 5
×
10
5
K/m
2
. The reactor is made of material with
c
=
200
J/kg
.
o
C, k = 40 W/m
.K, p = 9000 kg/m
3
. If the heat generation of the reactor is suddenly set to 9 MW/m3 , determine the time rate of temperature change in the reactor. Is the heat generation of the reactor suddenly increased or decreased to 9 MW/m3 from its steady operating condition?
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Draw a reduced sphere silver unit cell in the grids provided below, clearly label the lattice dimensions.
Within the unit cell you drew, shade the (1 0 0) plane.
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Chapter 2 Solutions
Heat and Mass Transfer: Fundamentals and Applications
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