Mathematical Determination of Transient Temperatures in Solids

Cover Mathematical Determination of Transient Temperatures in Solids
Mathematical Determination of Transient Temperatures in Solids
Eugene Isaacson
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2) and (7. 1), v/hich have been solved explicitly in (3. 5) and (7. 4). This permits us to vary the physical parameters without repeating the problem on high-speed calculators.
The situation v/e have just met is probably a typical example of what we may expect in the near future when we use the newly developing high-speed computing machines. That is, the various simple approximations which have been developed by the mathematician will be compared with the results of one or several solutions com
...puted by the automatic calculator. The simple mathematical solutions which give good agreement with the numerical calculations will then be available for further study of the physical problem.
19 Sec . 9 The pertiirbation of temperature We find that the average temperature over the hot face of the constant In is 32 percent higher than that at the cylindrical wall (at the same distance from the hot wall) when z = . 0009. This difference of temperatures decreases quickly with time and is less than 1 percent at Z = .


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