Approximate method of calculating temperature changes in a radial rib

Abstract

The article introduces the approximate analytical method for calculating temperature distribution in varied cross section rib. Based on the recommended method one can carry out the upper and lower estimate of the temperature field. There is little difference between the upper and lower boundary values. The recommended method of analytical study of the defined problems is based on the principle of superposition. The original equation system is replaced with two independent ones; their solution is expressed by the known elementary functions. Engineering analysis of temperature distribution in a radial rib turns out to be rather simple and precise. The stated approach can be applied to study similar construction of ribbed surface in the case of its complex design at uniform and variable thickness.

Keywords

• radial rib
• analytical approach
• temperature field
• thermal conductivity