Chapter 14: Problem 71
How does the condensation or freezing of water vapor in the wall affect the effectiveness of the insulation in the wall? How does the moisture content affect the effective thermal conductivity of soil?
Chapter 14: Problem 71
How does the condensation or freezing of water vapor in the wall affect the effectiveness of the insulation in the wall? How does the moisture content affect the effective thermal conductivity of soil?
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Get started for freeThe local convection heat transfer coefficient for air flowing parallel over a 1 -m-long plate with irregular surface topology is experimentally determined to be \(h_{x}=0.5+12 x-0.7 x^{3}\), where \(h_{x}\) is in $\mathrm{W} / \mathrm{m}^{2} \cdot \mathrm{K}$. If the plate surface is coated with water, determine the corresponding average mass convection coefficient over the entire plate. Assume properties can be evaluated at \(298 \mathrm{~K}\) and $1 \mathrm{~atm}$.
A 1-in-diameter Stefan tube is used to measure the binary diffusion coefficient of water vapor in air at \(80^{\circ} \mathrm{F}\) and \(13.8\) psia. The tube is partially filled with water with a distance from the water surface to the open end of the tube of \(10 \mathrm{in}\). Dry air is blown over the open end of the tube so that water vapor rising to the top is removed immediately and the concentration of vapor at the top of the tube is zero. During 10 days of continuous operation at constant pressure and temperature, the amount of water that has evaporated is measured to be $0.0025 \mathrm{lbm}$. Determine the diffusion coefficient of water vapor in air at \(80^{\circ} \mathrm{F}\) and \(13.8\) psia.
The average heat transfer coefficient for airflow over an odd-shaped body is to be determined by mass transfer measurements and using the Chilton-Colburn analogy between heat and mass transfer. The experiment is conducted by blowing dry air at \(1 \mathrm{~atm}\) at a free-stream velocity of $2 \mathrm{~m} / \mathrm{s}$ over a body covered with a layer of naphthalene. The surface area of the body is \(0.75 \mathrm{~m}^{2}\), and it is observed that $100 \mathrm{~g}\( of naphthalene has sublimated in \)45 \mathrm{~min}$. During the experiment, both the body and the air were kept at \(25^{\circ} \mathrm{C}\), at which the vapor pressure and mass diffusivity of naphthalene are $11 \mathrm{~Pa}\( and \)D_{A B}=0.61 \times 10^{-5} \mathrm{~m}^{2} / \mathrm{s}$, respectively. Determine the heat transfer coefficient under the same flow conditions over the same geometry.
Exposure to high concentrations of gaseous short-term ammonia exposure level set by the Occupational Safety and Health Administration (OSHA) is $35 \mathrm{ppm}\( for \)15 \mathrm{~min}$. Consider a vessel filled with gaseous ammonia at \(30 \mathrm{~mol} / \mathrm{L}\), and a \(10-\mathrm{cm}\)-diameter circular plastic plug with a thickness of \(2 \mathrm{~mm}\) is used to contain the ammonia inside the vessel. The ventilation system is capable of keeping the room safe with fresh air, provided that the rate of ammonia being released is below \(0.2 \mathrm{mg} / \mathrm{s}\). If the diffusion coefficient of ammonia through the plug is $1.3 \times 10^{-10} \mathrm{~m}^{2} / \mathrm{s}$, determine whether or not the plug can safely contain the ammonia inside the vessel.
A thick wall made of natural rubber is exposed to pure oxygen gas on one side of its surface. Both the wall and oxygen gas are isothermal at $25^{\circ} \mathrm{C}$, and the oxygen concentration at the wall surface is constant. Determine the time required for the oxygen concentration at \(x=5 \mathrm{~mm}\) to reach 5 percent of its concentration at the wall surface.
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