Chapter 9: Problem 122
In an ordinary double-pane window, about half of the heat transfer is by radiation. Describe a practical way of reducing the radiation component of heat transfer.
Chapter 9: Problem 122
In an ordinary double-pane window, about half of the heat transfer is by radiation. Describe a practical way of reducing the radiation component of heat transfer.
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Get started for freeConsider a \(2-\mathrm{m}\)-high electric hot-water heater that has a diameter of \(40 \mathrm{~cm}\) and maintains the hot water at \(60^{\circ} \mathrm{C}\). The tank is located in a small room at \(20^{\circ} \mathrm{C}\) whose walls and ceiling are at about the same temperature. The tank is placed in a 44 -cm- diameter sheet metal shell of negligible thickness, and the space between the tank and the shell is filled with foam insulation. The average temperature and emissivity of the outer surface of the shell are \(40^{\circ} \mathrm{C}\) and \(0.7\), respectively. The price of electricity is \(\$ 0.08 / \mathrm{kWh}\). Hot-water tank insulation kits large enough to wrap the entire tank are available on the market for about \(\$ 60\). If such an insulation kit is installed on this water tank by the homeowner himself, how long will it take for this additional insulation to pay for itself? Disregard any heat loss from the top and bottom surfaces, and assume the insulation reduces the heat losses by 80 percent.
A long 2-in-diameter rod with surface temperature of \(200^{\circ} \mathrm{F}\) is submerged in a bath of fluid. Determine the Grashof and Rayleigh numbers if the fluid is (a) liquid water at \(40^{\circ} \mathrm{F}\), (b) liquid ammonia at \(40^{\circ} \mathrm{F}\), (c) engine oil at \(50^{\circ} \mathrm{F}\), and \((d)\) air at \(40^{\circ} \mathrm{F}(1 \mathrm{~atm})\).
What does the effective conductivity of an enclosure represent? How is the ratio of the effective conductivity to thermal conductivity related to the Nusselt number?
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}$.
A \(0.6-\mathrm{m} \times 0.6-\mathrm{m}\) horizontal ASTM A203 B steel plate has its lower surface subjected to convection with cold, quiescent hydrogen gas at \(-70^{\circ} \mathrm{C}\). The minimum temperature suitable for the steel plate is \(-30^{\circ} \mathrm{C}\) (ASME Code for Process Piping, ASME B31.3-2014, Table A-1M). The lower plate surface has an emissivity of \(0.3\), and thermal radiation exchange occurs between the lower plate surface and the surroundings at \(-70^{\circ} \mathrm{C}\). Determine the heat addition rate necessary for keeping the lower plate surface temperature from dropping below the minimum suitable temperature.
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