Steady-state thermal distribution and thermal stress analysis in a moving annular fin with internal heat generation: An analytical approach using LSM

Abstract

The thermal variation and conductive–convective heat transfer aspects of the moving annular fin have been analyzed in the existence of internal heat generation. In addition, the behavior of radial and tangential stress of an annular moving fin is probed in this study. Appropriate dimensionless terms are used to convert the governing nonlinear temperature equation to a nonlinear ordinary differential equation (ODE), and then a series solution is obtained using the least square method (LSM). Furthermore, the impact of thermal dimensionless parameters including Peclet number and heat generation number on temperature, radial and tangential distributions is investigated comprehensively. The outcomes of assessing the effects of these parameter variations on temperature and stress profiles are expressed graphically and in tabular format. The analysis of thermal stress and dispersal in the fin reveals an improvement as the Peclet number and heat generation accumulate. Meanwhile, elevated convective parameter values result in reduced thermal distribution.