Abstract
An approximate analytical calculation of temperature changes in the radial rib in case of radiant heat transfer on its surface is prepared. The proposed method is based on higher and lower estimate of the required temperature field. The authors use an integral linearizing transformation which contributes to a significant decrease in the effect of a linear component in the original differential equation. It is rather easy to evaluate maximum and minimum temperature along the rib radius using the resulted analytical expressions. The calculations use modified Bessel functions, whose numeric values are tabulated in detail. According to the calculations, a difference in limit temperature values is minor even at increased values of the Stark radiation number. A temperature arithmetic mean of limit temperatures is rather close to a real one.
Keywords
Temperature field, radiant heat transfer, radial ribbed surface, analytical method, modified Bessel functions.
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