This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1884 Excerpt: ...c case when the rate of decrease of the temperature at 8 as we go towards E is such that the flow of heat across the section of the bar at 8 is equal to the rate at which heat is dissipated by the portion of the bar beyond 8. The temperature of the bar will decrease in going from D to E at a rate diminishing as the ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1884 Excerpt: ...c case when the rate of decrease of the temperature at 8 as we go towards E is such that the flow of heat across the section of the bar at 8 is equal to the rate at which heat is dissipated by the portion of the bar beyond 8. The temperature of the bar will decrease in going from D to E at a rate diminishing as the distance from D increases. If at every point of the bar a line be drawn at right angles to its length, and proportional to the excess of the temperature of the bar at that point, above that of the air, the extremities of these lines will lie on a curve similar to KL. Now the wax on the bars will be melted to distances where the temperature of the bars is the melting point of wax, and it may be shewn that when the wax ceases to melt any farther, if all the bars are of the same section, the squares of these distances are proportional to the thermal conductivities of the bars. Hence we have only to measure from the vessel of oil the distance on each bar along which the wax is melted in order to compare the thermal conductivities of the materials of which the bars are composed. The bars are generally inserted into small tubes which pass through the oil across the box, and are soldered to each side of the box so that the tubes are surrounded by oil just as the tubes in a locomotive boiler are surrounded by water. 211. It should be borne in mind that the thermal conductivities of different bars cannot be determined by heating one" end of each to the same temperature, and observing the time required for points on all the bars at the same distance from the heated ends to be raised to a given temperature. For instance, in the experiment just described, we might observe the time required for the wax to be melted on each bar at a distance of three inch...
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