A nanolaminated material is fabricated with an atomic layer deposition process, resulting in a series of stacked, alternating layers of tungsten and aluminumoxide, each layer being δ = 0.5 nm thick. Each tungsten-aluminum oxide interface is associated with a thermal resistance of R t , i n = 3.85 × 10 − 9 m 2 ⋅ K/W . The theoretical values of the thermal conductivities of the thin aluminum oxide and tungsten layers are k A = 1.65 W/m ⋅ K and k T = 6.10 W/m ⋅ K, respectively. The properties are evaluated at T = 300 K . Determine the effective thermal conductivity of the nanolaminated material. Compare the value ofthe effective thermal conductivity to the bulk thermal conductivities of aluminum oxide and tungsten,given in Tables A.1 and A.2. Determine the effective thermal conductivity of the nanolaminated material assuming that thethermal conductivities of the tungsten and aluminum oxide layers are equal to their bulk values.
A nanolaminated material is fabricated with an atomic layer deposition process, resulting in a series of stacked, alternating layers of tungsten and aluminumoxide, each layer being δ = 0.5 nm thick. Each tungsten-aluminum oxide interface is associated with a thermal resistance of R t , i n = 3.85 × 10 − 9 m 2 ⋅ K/W . The theoretical values of the thermal conductivities of the thin aluminum oxide and tungsten layers are k A = 1.65 W/m ⋅ K and k T = 6.10 W/m ⋅ K, respectively. The properties are evaluated at T = 300 K . Determine the effective thermal conductivity of the nanolaminated material. Compare the value ofthe effective thermal conductivity to the bulk thermal conductivities of aluminum oxide and tungsten,given in Tables A.1 and A.2. Determine the effective thermal conductivity of the nanolaminated material assuming that thethermal conductivities of the tungsten and aluminum oxide layers are equal to their bulk values.
Solution Summary: The author explains the effective thermal conductivity of the nanolaminated material.
A nanolaminated material is fabricated with an atomic layer deposition process, resulting in a series of stacked, alternating layers of tungsten and aluminumoxide, each layer being
δ
=
0.5
nm
thick. Each tungsten-aluminum oxide interface is associated with a thermal resistance of
R
t
,
i
n
=
3.85
×
10
−
9
m
2
⋅
K/W
.
The theoretical values of the thermal conductivities of the thin aluminum oxide and tungsten layers are
k
A
=
1.65
W/m
⋅
K
and
k
T
=
6.10
W/m
⋅
K,
respectively. The properties are evaluated at
T
=
300
K
.
Determine the effective thermal conductivity of the nanolaminated material. Compare the value ofthe effective thermal conductivity to the bulk thermal conductivities of aluminum oxide and tungsten,given in Tables A.1 and A.2.
Determine the effective thermal conductivity of the nanolaminated material assuming that thethermal conductivities of the tungsten and aluminum oxide layers are equal to their bulk values.
2. One end of a 40 cm metal rod 2.0 cm2
in cross section is in a steam bath while the other
end is embedded in ice. It is observed that 13.3 grams of ice melted in 15 minutes from the heat conducted by the rod. What is the thermal conductivity of the rod.
(a) The coefficient of thermal conductivity of zinc is two times that of copper and the length of copper rod is two times of the
Zinc rod, then find the junction temperature.
20°C
Zinc
Copper
O°C
(b) How does the coefficient of thermal conductivity changes if (i) Temperature increases (ii) area of the material increases.
(a) The coefficient of thermal conductivity of zinc is two times that of copper and the length of copper rod is two times of the
Zinc rod, then find the junction temperature.
20°C
Zinc
Copper
O°C
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