A study on analytical non-linear theory of the porous fin in heat transfer using Akbari-Ganji method

In this paper, the temperature distribution of porous fins is approached by the Akbari-Ganji method using a simple analytical technique. The Darcy model and energy balance were also utilised to create the heat transfer equation. An insulated tip and a limited-length fin serve as a case for exploring thermal performance. The outcomes of the Akbari-Ganji method are compared with previous results. The boundary value is also solved numerically using the MATLAB programme for validation. The outcome indicates that the Akbari-Ganji is more reliable, appropriate, and accurate than other approaches like the perturbation method, the homotopy perturbation method, and the variational iteration method. Additionally, it has been discovered that this approach is a potent mathematical instrument that may solve a wide range of non-linear and linear issues that arise in various branches of technology and science, particularly some thermal transfer equations. It is demonstrated that for solving boundary value problems in engineering applications, the AGM approach is a superior substitute to semi-analytical and conventional numerical methods, mainly when the result’s efficiency is crucial.