A model for a set of porous fins on a long rotating cylinder considering thermal radiation and natural convection

Abstract

This article proposes a method to estimate the heat transfer and temperature distribution from a porous fin placed on a constantly rotating long cylinder with a hexagonal cross section. Moreover, both radiation and natural convection are considered, as well as radiation interchange between the cylinder and the fin and among the porous fins themselves, giving rise to an Integro-Differential problem. Time-averaged thermal properties are employed since the proposed problem is periodic. The numerical simulation is validated by comparing three different numerical methods: Finite Difference Method (FDM), Finite Volumes Method (FVM), and Spectral Collocation Method with Chebyshev interpolation polynomials (CGL). The three methods demonstrated good agreement among themselves. They provided results according to the existing literature concerning heat transfer and temperature distribution on porous fins, such as showing that convection, as the convective parameter grows from 0 to 10, can quickly become the dominant mode of heat transfer instead of the radiation parameter, which ranged from 0 to 50. The impact on the temperature at the tip ranged from less than 4% to 18.9%, depending on the changes made to thermal and physical parameters under similar conditions. The dimensionless temperature stayed in the stipulated variation from 0 to 1.

Keywords:

• Heat transfer
• numerical methodology
• porous fin
• thermal radiation

Acknowledgments

The authors want to acknowledge the Brazilian agencies CNPq and CAPES for funding this study.

Data availability

The data required to support this study is included in the article.

Additional information

Funding

This work was funded by Conselho Nacional de Desenvolvimento Científico e Tecnológico; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior.