Consider a spherical shell of inner radius r 1 and outer radius r 2 whose thermal conductivity varies linearly in a specified temperature range as k ( T ) = k 0 ( 1 + β T ) , where k 0 and β are two specified constants. The inner surface of the shell is maintained at a constant temperature of T 1 , while the outer surface is maintained at T 2 . Assuming steady one-dimensional heat transfer, obtain a relation for (a) the heat transfer rate through the shell and (b) the temperature distribution T(r) in the shell.
Consider a spherical shell of inner radius r 1 and outer radius r 2 whose thermal conductivity varies linearly in a specified temperature range as k ( T ) = k 0 ( 1 + β T ) , where k 0 and β are two specified constants. The inner surface of the shell is maintained at a constant temperature of T 1 , while the outer surface is maintained at T 2 . Assuming steady one-dimensional heat transfer, obtain a relation for (a) the heat transfer rate through the shell and (b) the temperature distribution T(r) in the shell.
Solution Summary: The author explains the heat transfer rate through the shell, the thermal conductivity, and the coefficient of the temperature distribution.
Consider a spherical shell of inner radius r1 and outer radius r2 whose thermal conductivity varies linearly in a specified temperature range as
k
(
T
)
=
k
0
(
1
+
β
T
)
,
where k
0
and
β
are two specified constants. The inner surface of the shell is maintained at a constant temperature of T1, while the outer surface is maintained at T2. Assuming steady one-dimensional heat transfer, obtain a relation for (a) the heat transfer rate through the shell and (b) the temperature distribution T(r) in the shell.
3-55 A multifluid container is connected to a U-tube,
as shown in Fig. P3–55. For the given specific gravities
and fluid column heights, determine the gage pressure at
A. Also determine the height of a mercury column that
would create the same pressure at A. Answers: 0.415 kPa,
0.311 cm
I need help answering parts a and b
Required information
Water initially at 200 kPa and 300°C is contained in a piston-cylinder device fitted with stops. The water is allowed to cool
at constant pressure until it exists as a saturated vapor and the piston rests on the stops. Then the water continues to cool
until the pressure is 100 kPa.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Water
200 kPa
300°C
On the T-V diagram, sketch, with respect to the saturation lines, the process curves passing through the initial, intermediate, and final states of the water. Label the
T, P, and V values for end states on the process curves.
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