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.
Insert Space
61
Exercise 6
A
3-194 A 4-m-high and 6-m-long wall is constructed of two
large 0.8-cm-thick steel plates (k= 15 W/m-K) separated by
1-cm-thick and 22-cm-wide steel bars placed 99 cm apart. The
remaining space between the steel plates is filled with fiberglass
insulation (k=0.035 W/m-K). If the temperature difference
between the inner and the outer surfaces of the walls is 22°C.
determine the rate of heat transfer through the wall. Can we
ignore the steel bars between the plates in heat transfer analysis
since they occupy only 1 percent of the heat transfer surface area?
Steel plates
0.8 cm
22 cm
Fiberglass
insulation
99 cm
1 cm
0.8 cm
Pencil
+
>
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.
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/mK) separated by 3-cm-thick plaster layers (k=0.22 W/mK). 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/mK) on the inner side of the wall. The indoor and outdoor temperatures are 22°C and -4°C, and the convection heat transfer coefficients on the inner and the outer sides are h1= 10 W/m2K and h2= 20 W/m2K, respectively.Assuming one-dimensional heat transfer and disregarding radiation, determine the rate of heat transfer through the wall.
Chapter 3 Solutions
Heat and Mass Transfer: Fundamentals and Applications
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