A 10-cm-thick vall is to be constructed with 2.5-rn-long wood studs ( k = 0.11 W/m .K and that have a cross section of 10 cm × 1 0 cm . and At some point the builder ran out of those studs and started using pairs of 2.5-rn-long wood studs that have a cross section of 5 cm × 1 0 cm nailed to each other instead. The manganese steel nails ( k = 50 W/m .K) and are 10 cm long and have a diameter of 0.4 cm. A total of 50 nails are used to connect the two studs, which are mounted to the wall such that the nails cross the wall. The temperature difference between the inner and outer surfaces of the wall is 8°C. Assuming the thennal contact resistance between the two layers to be negligible, determine the rate of heat transfer (a) through a solid stud and (b) through a stud pair of equal length and width nailed to each other. (c) Also determine the effective conductivity of the nailed stud pair.
A 10-cm-thick vall is to be constructed with 2.5-rn-long wood studs ( k = 0.11 W/m .K and that have a cross section of 10 cm × 1 0 cm . and At some point the builder ran out of those studs and started using pairs of 2.5-rn-long wood studs that have a cross section of 5 cm × 1 0 cm nailed to each other instead. The manganese steel nails ( k = 50 W/m .K) and are 10 cm long and have a diameter of 0.4 cm. A total of 50 nails are used to connect the two studs, which are mounted to the wall such that the nails cross the wall. The temperature difference between the inner and outer surfaces of the wall is 8°C. Assuming the thennal contact resistance between the two layers to be negligible, determine the rate of heat transfer (a) through a solid stud and (b) through a stud pair of equal length and width nailed to each other. (c) Also determine the effective conductivity of the nailed stud pair.
Solution Summary: The author explains the rate of heat transfer through the solid stud.
A 10-cm-thick vall is to be constructed with 2.5-rn-long wood studs
(
k
=
0.11
W/m
.K
and that have a cross section of
10 cm
×
1 0 cm
.
and At some point the builder ran out of those studs and started using pairs of 2.5-rn-long wood studs that have a cross section of
5 cm
×
1 0 cm
nailed to each other instead. The manganese steel nails
(
k
=
50
W/m
.K)
and are 10 cm long and have a diameter of 0.4 cm. A total of 50 nails are used to connect the two studs, which are mounted to the wall such that the nails cross the wall. The temperature difference between the inner and outer surfaces of the wall is 8°C. Assuming the thennal contact resistance between the two layers to be negligible, determine the rate of heat transfer (a) through a solid stud and (b) through a stud pair of equal length and width nailed to each other. (c) Also determine the effective conductivity of the nailed stud pair.
3-52 A 4-m-high and 6-m-wide wall consists of a long
18-cm X 30-cm cross section of horizontal bricks (k = 0.72
W/m . °C) separated by 3-cm-thick plaster layers (k = 0.22
W/m . °C). There are also 2-cm-thick plaster layers on each
side of the wall, and a 2-cm-thick rigid foam (k =
0.026 W/m - °C) on the inner side of the wall. The indoor and
the outdoor temperatures are 22°C and −4°C, and the convec-
tion heat transfer coefficients on the inner and the outer sides
are h₁ = 10 W/m² . °℃ and h₂ = 20 W/m². °C, respectively.
Assuming one-dimensional heat transfer and disregarding radi-
ation, determine the rate of heat transfer through the wall.
Foam
Plaster
Brick
1+₂+18
2
FIGURE P3-52
18 cm
N
1.5 cm
30 cm
1.5 cm
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The composite wall which is composed of 10 cm brick (k=0.40 W/m2-C), 2 cm cellotex (k=0.03 W/m2-
OC), and 6 cm (k=0.30 W/m2-OC),has an outer (brick) temperature T=23 OC and an inner (plaster)temperature T=90 OC. Find the temperature between the cellotex andplaster in OC.
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