Chapter 9: Problem 101
Under what conditions does natural convection enhance forced convection, and under what conditions does it hurt forced convection?
Chapter 9: Problem 101
Under what conditions does natural convection enhance forced convection, and under what conditions does it hurt forced convection?
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Get started for freeConsider an industrial furnace that resembles a 13 -ft-long horizontal cylindrical enclosure \(8 \mathrm{ft}\) in diameter whose end surfaces are well insulated. The furnace burns natural gas at a rate of 48 therms/h. The combustion efficiency of the furnace is 82 percent (i.e., 18 percent of the chemical energy of the fuel is lost through the flue gases as a result of incomplete combustion and the flue gases leaving the furnace at high temperature). If the heat loss from the outer surfaces of the furnace by natural convection and radiation is not to exceed 1 percent of the heat generated inside, determine the highest allowable surface temperature of the furnace. Assume the air and wall surface temperature of the room to be \(75^{\circ} \mathrm{F}\), and take the emissivity of the outer surface of the furnace to be \(0.85\). If the cost of natural gas is \(\$ 1.15 /\) therm and the furnace operates \(2800 \mathrm{~h}\) per year, determine the annual cost of this heat loss to the plant. Evaluate properties of air at a film temperature of \(107.5^{\circ} \mathrm{F}\) and \(1 \mathrm{~atm}\) pressure. Is this a good assumption?
In which mode of heat transfer is the convection heat transfer coefficient usually higher, natural convection or forced convection? Why?
Thermal energy generated by the electrical resistance of a \(5-\mathrm{mm}\)-diameter and 4-m-long bare cable is dissipated to the surrounding air at \(20^{\circ} \mathrm{C}\). The voltage drop and the electric current across the cable in steady operation are measured to be \(60 \mathrm{~V}\) and \(1.5 \mathrm{~A}\), respectively. Disregarding radiation, estimate the surface temperature of the cable. Evaluate air properties at a film temperature of \(60^{\circ} \mathrm{C}\) and 1 atm pressure. Is this a good assumption?
Consider laminar natural convection from a vertical hot-plate. Will the heat flux be higher at the top or at the bottom of the plate? Why?
A vertical \(1.5\)-m-high and \(3.0\)-m-wide enclosure consists of two surfaces separated by a \(0.4-\mathrm{m}\) air gap at atmospheric pressure. If the surface temperatures across the air gap are measured to be \(280 \mathrm{~K}\) and \(336 \mathrm{~K}\) and the surface emissivities to be \(0.15\) and \(0.90\), determine the fraction of heat transferred through the enclosure by radiation. Answer: \(0.30\)
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