Chapter 1: Problem 84
Can all three modes of heat transfer occur simultaneously (in parallel) in a medium?
Chapter 1: Problem 84
Can all three modes of heat transfer occur simultaneously (in parallel) in a medium?
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Get started for freeSolar radiation is incident on a \(5-\mathrm{m}^{2}\) solar absorber plate surface at a rate of \(800 \mathrm{~W} / \mathrm{m}^{2}\). Ninety-three percent of the solar radiation is absorbed by the absorber plate, while the remaining 7 percent is reflected away. The solar absorber plate has a surface temperature of \(40^{\circ} \mathrm{C}\) with an emissivity of \(0.9\) that experiences radiation exchange with the surrounding temperature of $-5^{\circ} \mathrm{C}$. In addition, convective heat transfer occurs between the absorber plate surface and the ambient air of \(20^{\circ} \mathrm{C}\) with a convection heat transfer coefficient of \(7 \mathrm{~W} / \mathrm{m}^{2}\). \(\mathrm{K}\). Determine the efficiency of the solar absorber, which is defined as the ratio of the usable heat collected by the absorber to the incident solar radiation on the absorber.
A 10-cm-high and 20-cm-wide circuit board houses on its surface 100 closely spaced chips, each generating heat at a rate of \(0.08 \mathrm{~W}\) and transferring it by convection and radiation to the surrounding medium at \(40^{\circ} \mathrm{C}\). Heat transfer from the back surface of the board is negligible. If the combined convection and radiation heat transfer coefficient on the surface of the board is $22 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}$, the average surface temperature of the chips is (a) \(72.4^{\circ} \mathrm{C}\) (b) \(66.5^{\circ} \mathrm{C}\) (c) \(40.4^{\circ} \mathrm{C}\) (d) \(58.2^{\circ} \mathrm{C}\) (e) \(49.1^{\circ} \mathrm{C}\)
Consider a 3-m \(\times 3-\mathrm{m} \times 3-\mathrm{m}\) cubical furnace whose top and side surfaces closely approximate black surfaces at a temperature of \(1200 \mathrm{~K}\). The base surface has an emissivity of \(\varepsilon=0.7\), and is maintained at \(800 \mathrm{~K}\). Determine the net rate of radiation heat transfer to the base surface from the top and side surfaces.
What is stratification? Is it more likely to occur at places with low ceilings or places with high ceilings? How does it cause thermal discomfort for a room's occupants? How can stratification be prevented?
In the metal processing industry, heat treatment of metals is commonly done using electrically heated draw batch furnaces. Consider a furnace that is situated in a room with surrounding air temperature of \(30^{\circ} \mathrm{C}\) and an average convection heat transfer coefficient of $12 \mathrm{~W} / \mathrm{m}^{2}\(. \)\mathrm{K}$. The furnace front is made of a steel plate with thickness of \(20 \mathrm{~mm}\) and a thermal conductivity of $25 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$. The outer furnace front surface has an emissivity of \(0.23\), and the inside surface is subjected to a heat flux of $8 \mathrm{~kW} / \mathrm{m}^{2}$. Determine the outside surface temperature of the furnace front.
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