Nonlinear stability and thermomechanical analysis of hydromagnetic Falkner-Skan Casson conjugate fluid flow over an angular-geometric surface based on Buongiorno's model using homotopy analysis method and its extension

摘要

This paper aims to provide stability and thermomechanical analysis of hydromagnetic Falkner-Skan Casson conjugate fluid flow over an angular-geometric wedge-shaped surface. Based on the Buongiorno's model, the governing boundary-layer equations are derived and solved iteratively using the homotopy analysis method (HAM). Furthermore, the HAM-series solution is optimised by minimising its squared residual errors. It is shown that the proposed approach can serve as an efficient criterion for accurately solving nonlinear problems.