Chapter 9: Problem 1
What is natural convection? How does it differ from forced convection? What force causes natural convection currents?
Chapter 9: Problem 1
What is natural convection? How does it differ from forced convection? What force causes natural convection currents?
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Get started for freeConsider a flat-plate solar collector placed horizontally on the flat roof of a house. The collector is \(1.5 \mathrm{~m}\) wide and \(4.5 \mathrm{~m}\) long, and the average temperature of the exposed surface of the collector is \(42^{\circ} \mathrm{C}\). Determine the rate of heat loss from the collector by natural convection during a calm day when the ambient air temperature is \(8^{\circ} \mathrm{C}\). Also, determine the heat loss by radiation by taking the emissivity of the collector surface to be \(0.85\) and the effective sky temperature to be \(-15^{\circ} \mathrm{C}\). Answers: $1314 \mathrm{~W}, 1762 \mathrm{~W}$
A \(0.2-\mathrm{m}\)-long and \(25-\mathrm{mm}\)-thick vertical plate $(k=1.5 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})$ separates the hot water from the cold air at \(2^{\circ} \mathrm{C}\). The plate surface exposed to the hot water has a temperature of \(100^{\circ} \mathrm{C}\), and the surface exposed to the cold air has an emissivity of \(0.73\). Determine the temperature of the plate surface exposed to the cold air \(\left(T_{s, c}\right)\). Hint: The \(T_{s, c}\) has to be found iteratively. Start the iteration process with an initial guess of \(51^{\circ} \mathrm{C}\) for the \(T_{s, c^{*}}\)
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?
Flat-plate solar collectors are often tilted up toward the sun in order to intercept a greater amount of direct solar radiation. The tilt angle from the horizontal also affects the rate of heat loss from the collector. Consider a \(1.5-\mathrm{m}\)-high and 3-m-wide solar collector that is tilted at an angle \(\theta\) from the horizontal. The back side of the absorber is heavily insulated. The absorber plate and the glass cover, which are spaced $2.5 \mathrm{~cm}\( from each other, are maintained at temperatures of \)80^{\circ} \mathrm{C}\( and \)40^{\circ} \mathrm{C}$, respectively. Determine the rate of heat loss from the absorber plate by natural convection for $\theta=0^{\circ}, 30^{\circ}\(, and \)90^{\circ}$.
Consider a double-pane window whose airspace is flashed and filled with argon gas. How will replacing the air in the gap with argon affect \((a)\) convection and \((b)\) radiation heat transfer through the window?
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