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Unformatted text preview: but they have the inherent disadvantage that they present potential leakage problems.
Therefore, air is proposed to be used as the microchannel
coolant. Repeat Problem 8–71 using air as the cooling fluid instead of water, entering at a rate of 0.5 L/s. ε = 0.7
0.8 m/s 15 m FIGURE P8–69
transfer coefficient of l5 W/m2 °C. Taking the walls of the
basement to be at 10°C also, determine (a) the rate of heat loss
from the water and (b) the temperature at which the water
leaves the basement.
8–70 Repeat Problem 8–69 for a pipe made of copper (k
386 W/m °C) instead of cast iron.
8–71 D. B. Tuckerman and R. F. Pease of Stanford University demonstrated in the early 1980s that integrated circuits can
be cooled very effectively by fabricating a series of microscopic channels 0.3 mm high and 0.05 mm wide in the back of
the substrate and covering them with a plate to confine the
fluid flow within the channels. They were able to dissipate
790 W of power generated in a 1-cm2 silicon chip at a junctionto-ambient temperature difference of 71°C using water as the
coolant flowing at a rate of 0.01 L/s through 100 such channels
under a 1-cm 1-cm silicon chip. Heat is transferred primarily through the base area of the channel, and it was found that
the increased surface area and thus the fin effect are of lesser
importance. Disregarding the entrance effects and ignoring any
heat transfer from the side and cover surfaces, determine
(a) the temperature rise of water as it flows through the microchannels and (b) the average surface temperature of the base of
the microchannels for a power dissipation of 50 W. Assume the
water enters the channels at 20°C. Cover
1 cm 0.3
mm 0.05 mm Silicon
on this side FIGURE P8–71 Microscopic
channels 8–73 Hot exhaust gases leaving a stationary diesel engine at
450°C enter a l5-cm-diameter pipe at an average velocity of
3.6 m/s. The surface temperature of the pipe is 180°C. Determine the pipe length if the exhaust gases are to leave the pipe
at 250°C after transferring heat to water in a heat recovery unit.
Use properties of air for exhaust gases.
8–74 Geothermal steam at 165°C condenses in the shell side
of a heat exchanger over the tubes through which water flows.
Water enters the 4-cm-diameter, 14-m-long tubes at 20°C at a
rate of 0.8 kg/s. Determine the exit temperature of water and
the rate of condensation of geothermal steam.
8–75 Cold air at 5°C enters a l2-cm-diameter 20-m-long
isothermal pipe at a velocity of 2.5 m/s and leaves at 19°C.
Estimate the surface temperature of the pipe.
8–76 Oil at 10°C is to be heated by saturated steam at 1 atm
in a double-pipe heat exchanger to a temperature of 30°C. The
inner and outer diameters of the annular space are 3 cm and
5 cm, respectively, and oil enters at with a mean velocity of 0.8
m/s. The inner tube may be assumed to be isothermal at 100°C,
and the outer tube is well insulated. Assuming fully developed
flow for oil, determine the tube length required to heat the oil
to the indicated temperature. In reality, will you need a shorter
or longer tube? Explain. Design and Essay Problems
8–77 Electronic boxes such as computers are commonly
cooled by a fan. Write an essay on forced air cooling of electronic boxes and on the selection of the fan for electronic
8–78 Design a heat exchanger to pasteurize milk by steam in
a dairy plant. Milk is to flow through a bank of 1.2-cm internal
diameter tubes while steam condenses outside the tubes at
1 atm. Milk is to enter the tubes at 4°C, and it is to be heated to
72°C at a rate of 15 L/s. Making reasonable assumptions, you
are to specify the tube length and the number of tubes, and the
pump for the heat exchanger.
8–79 A desktop computer is to be cooled by a fan. The electronic components of the computer consume 80 W of power
under full-load conditions. The computer is to operate in environments at temperatures up to 50°C and at elevations up to
3000 m where the atmospheric pressure is 70.12 kPa. The exit
temperature of air is not to exceed 60°C to meet the reliability
requirements. Also, the average velocity of air is not to exceed
120 m/min at the exit of the computer case, where the fan is installed to keep the noise level down. Specify the flow rate of
the fan that needs to be installed and the diameter of the casing
of the fan. cen58933_ch08.qxd 9/4/2002 11:29 AM Page 458...
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- Spring '10