Abstract
An exact elliptic-integral solution is given for the temperature distribution of a thin, heated wire between two supports. The solution includes the variation of thermal conductivity, electrical resistivity, convective coefficient, and emissivity of the wire with temperature. The complete fourth-order (and higher) temperature effects of thermal radiation can be included in the general solution. The hot-wire-anemometer case is evaluated numerically and is successfully compared with measured wire-temperature distributions. The exact theoretical temperature distribution is also compared with a first-order hyperbolic solution.
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