Chapter 9: Problem 162
The primary driving force for natural convection is (a) shear stress forces (b) buoyancy forces (c) pressure forces (d) surface tension forces (e) none of them
Chapter 9: Problem 162
The primary driving force for natural convection is (a) shear stress forces (b) buoyancy forces (c) pressure forces (d) surface tension forces (e) none of them
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Get started for freeConsider a \(1.2\)-m-high and 2-m-wide doublepane window consisting of two \(3-\mathrm{mm}\)-thick layers of glass $(k=0.78 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})\( separated by a \)2.5$-cm-wide airspace. Determine the steady rate of heat transfer through this window and the temperature of its inner surface for a day during which the room is maintained at \(20^{\circ} \mathrm{C}\) while the temperature of the outdoors is \(0^{\circ} \mathrm{C}\). Take the heat transfer coefficients on the inner and outer surfaces of the window to be \(h_{1}=10 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\) and $h_{2}=25 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}$, and disregard any heat transfer by radiation. Evaluate air properties at a film temperature of \(10^{\circ} \mathrm{C}\) and \(1 \mathrm{~atm}\) pressure. Is this a good assumption?
Water flows in a horizontal chlorinated polyvinyl chloride (CPVC) pipe with an inner and outer diameter of \(15 \mathrm{~mm}\) and \(20 \mathrm{~mm}\), respectively. The thermal conductivity of the CPVC pipe is $0.136 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$. The convection heat transfer coefficient at the inner surface of the pipe with the water flow is $50 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}$. A section of the pipe is exposed to hot, quiescent air at \(107^{\circ} \mathrm{C}\), and the length of the pipe section in the hot air is \(1 \mathrm{~m}\). The recommended maximum temperature for CPVC pipe by the ASME Code for Process Piping is \(93^{\circ} \mathrm{C}\) (ASME B31.3-2014, Table B-1). Determine the maximum temperature that the water flowing inside the pipe can be without causing the temperature of the CPVC pipe to go above \(93^{\circ} \mathrm{C}\).
An ASTM F441 chlorinated polyvinyl chloride \((\mathrm{CPVC})\) tube is embedded in a vertical concrete wall $(k=1.4 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})\(. The wall has a height of \)1 \mathrm{~m}$, and one surface of the wall is subjected to convection with hot air at \(140^{\circ} \mathrm{C}\). The distance measured from the plate's surface that is exposed to the hot air to the tube surface is \(d=3 \mathrm{~cm}\). The ASME Code for Process Piping limits the maximum use temperature for ASTM F441 CPVC tube to $93.3^{\circ} \mathrm{C}$ (ASME B31.32014 , Table B-1). If the concrete surface that is exposed to the hot air is at \(100^{\circ} \mathrm{C}\), would the CPVC tube embedded in the wall still comply with the ASME code?
A spherical stainless steel tank with an inner diameter of \(3 \mathrm{~m}\) and a wall thickness of \(10 \mathrm{~mm}\) is used to contain a solution undergoing an exothermic reaction that generates \(450 \mathrm{~W} / \mathrm{m}^{3}\) of heat. The tank is located in surroundings with air at \(15^{\circ} \mathrm{C}\). To prevent thermal burns to people working near the tank, the outer surface temperature should be at \(45^{\circ} \mathrm{C}\) or lower. Determine whether the outer surface of the tank should be polished \((\varepsilon=0.2)\) or painted black \((\varepsilon=0.88)\). Evaluate the air properties at $30^{\circ} \mathrm{C}\( and \)1 \mathrm{~atm}$ pressure. Is this a good assumption?
A \(0.5-\mathrm{m}\)-long thin vertical plate is subjected to uniform heat flux on one side, while the other side is exposed to cool air at $5^{\circ} \mathrm{C}\(. The plate surface has an emissivity of \)0.73$, and its midpoint temperature is \(55^{\circ} \mathrm{C}\). Determine the heat flux on the plate surface.
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