ISSN (print) 1995-2732
ISSN (online) 2412-9003




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.


Temperature field, radiant heat transfer, radial ribbed surface, analytical method, modified Bessel functions.

Vidin Yury Vladimirovich – Ph.D. (Eng.), Professor, Siberian Federal University, Russia.

Kazakov Roman Vladimirovich – Ph.D. (Eng.), Associate Professor, Siberian Federal University, Russia. E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

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